The General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical programming and optimization. It consists of a language compiler and a stable of integrated high-performance solvers. GAMS is tailored for complex, large scale modeling applications, and allows you to build large maintainable models that can be adapted quickly to new situations.
This document provides an introduction to linear and integer programming. It defines key concepts such as linear programs (LP), integer programs (IP), and mixed integer programs (MIP). It discusses the complexity of different optimization problem types and gives examples of LP and IP formulations. It also covers common techniques for solving LPs and IPs, including the simplex method, cutting plane methods, branch and bound, and heuristics like beam search.
A Mathematical Programming Approach for Selection of Variables in Cluster Ana...IJRES Journal
The document presents a mathematical programming approach for selecting important variables in cluster analysis. It formulates a nonlinear binary model to minimize the distance between observations within clusters, using indicator variables to select important variables. The model is applied to a sample dataset of 30 observations across 5 variables, correctly identifying variables 3, 4 and 5 as most important for clustering the observations into two groups. The results are compared to an existing variable selection heuristic, with the mathematical programming approach achieving a 100% correct classification versus 97% for the other method.
Training of agile project management with scrum king leong lo (100188178)King Lo
The document outlines an agenda and training objectives for teaching IT employees at a company about applying Scrum methodology to project management, including defining key roles like Product Owner and Scrum Master, explaining processes like sprint planning and daily stand-ups, and demonstrating tools used in Scrum like product backlogs, burn-down charts, and task boards. It also provides examples of how the client company can implement these Scrum practices with their Product Owner, Scrum Master, and development team.
The document discusses various techniques for prioritizing software requirements for release planning, including:
1. MoSCoW prioritization which categorizes requirements as Must have, Should have, Could have, or Won't have.
2. Cumulative voting where stakeholders distribute a total of points between requirements.
3. Analytical Hierarchy Process which involves pairwise comparisons of requirements to determine their relative value and cost.
4. Visualization techniques help analyze prioritization results, like cost-value diagrams and distribution charts. Integer linear programming can also be used to optimize for highest value within budget constraints.
This presentation briefly introduces Internet of Things (IoT), its features and driver technologies as well some of IoT's applications in certain fields and challenges ahead in order to fully benefit from the advantages that an IoT-system can offer.
The document discusses various informed search strategies including best-first search, greedy best-first search, A* search, and local search algorithms like hill-climbing search and simulated annealing search. It explains how heuristic functions can help guide search toward solutions more efficiently. Key aspects covered are how A* search uses an evaluation function f(n) = g(n) + h(n) to expand the most promising nodes first, and how hill-climbing search gets stuck at local optima but simulated annealing incorporates randomness to help escape them.
The document discusses techniques for prioritizing requirements in Agile projects, including MoSCoW, Kano modeling, and relative weighting. It explains how each technique categorizes requirements based on factors like importance, customer satisfaction, benefits, costs and risks. The document also discusses ensuring compliance, customer-valued prioritization, and using a Minimum Marketable Feature approach to project planning.
The General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical programming and optimization. It consists of a language compiler and a stable of integrated high-performance solvers. GAMS is tailored for complex, large scale modeling applications, and allows you to build large maintainable models that can be adapted quickly to new situations.
This document provides an introduction to linear and integer programming. It defines key concepts such as linear programs (LP), integer programs (IP), and mixed integer programs (MIP). It discusses the complexity of different optimization problem types and gives examples of LP and IP formulations. It also covers common techniques for solving LPs and IPs, including the simplex method, cutting plane methods, branch and bound, and heuristics like beam search.
A Mathematical Programming Approach for Selection of Variables in Cluster Ana...IJRES Journal
The document presents a mathematical programming approach for selecting important variables in cluster analysis. It formulates a nonlinear binary model to minimize the distance between observations within clusters, using indicator variables to select important variables. The model is applied to a sample dataset of 30 observations across 5 variables, correctly identifying variables 3, 4 and 5 as most important for clustering the observations into two groups. The results are compared to an existing variable selection heuristic, with the mathematical programming approach achieving a 100% correct classification versus 97% for the other method.
Training of agile project management with scrum king leong lo (100188178)King Lo
The document outlines an agenda and training objectives for teaching IT employees at a company about applying Scrum methodology to project management, including defining key roles like Product Owner and Scrum Master, explaining processes like sprint planning and daily stand-ups, and demonstrating tools used in Scrum like product backlogs, burn-down charts, and task boards. It also provides examples of how the client company can implement these Scrum practices with their Product Owner, Scrum Master, and development team.
The document discusses various techniques for prioritizing software requirements for release planning, including:
1. MoSCoW prioritization which categorizes requirements as Must have, Should have, Could have, or Won't have.
2. Cumulative voting where stakeholders distribute a total of points between requirements.
3. Analytical Hierarchy Process which involves pairwise comparisons of requirements to determine their relative value and cost.
4. Visualization techniques help analyze prioritization results, like cost-value diagrams and distribution charts. Integer linear programming can also be used to optimize for highest value within budget constraints.
This presentation briefly introduces Internet of Things (IoT), its features and driver technologies as well some of IoT's applications in certain fields and challenges ahead in order to fully benefit from the advantages that an IoT-system can offer.
The document discusses various informed search strategies including best-first search, greedy best-first search, A* search, and local search algorithms like hill-climbing search and simulated annealing search. It explains how heuristic functions can help guide search toward solutions more efficiently. Key aspects covered are how A* search uses an evaluation function f(n) = g(n) + h(n) to expand the most promising nodes first, and how hill-climbing search gets stuck at local optima but simulated annealing incorporates randomness to help escape them.
The document discusses techniques for prioritizing requirements in Agile projects, including MoSCoW, Kano modeling, and relative weighting. It explains how each technique categorizes requirements based on factors like importance, customer satisfaction, benefits, costs and risks. The document also discusses ensuring compliance, customer-valued prioritization, and using a Minimum Marketable Feature approach to project planning.
Dynamic programming is used to solve optimization problems by breaking them down into subproblems. It solves each subproblem only once, storing the results in a table to lookup when the subproblem recurs. This avoids recomputing solutions and reduces computation. The key is determining the optimal substructure of problems. It involves characterizing optimal solutions recursively, computing values in a bottom-up table, and tracing back the optimal solution. An example is the 0/1 knapsack problem to maximize profit fitting items in a knapsack of limited capacity.
The document discusses Gomory's Cutting Plane Method for solving integer programming problems (IPPs). It begins by introducing all-integer linear programs (AILPs) and mixed-integer linear programs (MILPs). It then describes how Gomory's method works by taking the linear programming (LP) relaxation of an IPP, obtaining the fractional solution, deriving a cutting plane constraint, and adding it to strengthen the LP relaxation until an optimal integer solution is found. The key steps are to decompose the LP into basic and non-basic variables, derive cutting plane coefficients from the LP tableau, and add constraints of the form [yij]xj + xBi - yi0 ≤ 0 to eliminate fractional solutions.
The document introduces dynamic programming as a technique for making optimal decisions over multiple time periods. It discusses how dynamic programming breaks large problems into smaller subproblems and solves each in order, working backwards from the last period. The document provides an example of using dynamic programming to find the shortest route between two cities by breaking the problem into stages and working backwards from the final destination.
Dynamic programming is an algorithm design technique that solves problems by breaking them down into smaller overlapping subproblems and storing the results of already solved subproblems, rather than recomputing them. It is applicable to problems exhibiting optimal substructure and overlapping subproblems. The key steps are to define the optimal substructure, recursively define the optimal solution value, compute values bottom-up, and optionally reconstruct the optimal solution. Common examples that can be solved with dynamic programming include knapsack, shortest paths, matrix chain multiplication, and longest common subsequence.
The document discusses the IoT ecosystem in India and identifies several challenges and opportunities. It notes that IoT presents both challenges and opportunities for India given its unique landscape as an emerging economy. Some key challenges include lack of skills, speed and scale of development, and product realization process maturity. The document argues that government, academia, and industry need to increase collaboration on projects of national significance to help accelerate India's IoT development. It also predicts that future shifts may include open and crowdsourced IoT networks, corporate venturing through organized disruption, and open social innovation.
The document discusses dynamic programming and provides examples of problems that can be solved using dynamic programming including unidirectional traveling salesman problem, coin change, longest common subsequence, and longest increasing subsequence. Source code is presented for solving these problems using dynamic programming including dynamic programming tables, tracing optimal solutions, and time complexity analysis. Various online judges are listed that contain sample problems relating to these dynamic programming techniques.
Numerical analysis dual, primal, revised simplexSHAMJITH KM
The document discusses linear programming optimization methods including the revised simplex method, duality of LP problems, dual simplex method, and sensitivity analysis. It provides details on the iterative steps of the revised and dual simplex methods. Examples are provided to illustrate finding the dual of a primal LP problem and solving the dual using the dual simplex method. Sensitivity analysis is introduced as examining how changes to coefficients or right-hand sides can impact optimality and feasibility.
The document discusses sensitivity analysis for a linear programming problem. It provides an example of a manufacturing company that produces two types of grates. The optimal solution from solving the linear program is to produce 120 model A grates and 160 model B grates per day for a maximum profit of Rs. 480. Sensitivity analysis is then performed to determine how changes to the objective function coefficients and right-hand side constants of the constraints impact the optimal solution. The ranges that each coefficient can change without affecting optimality are identified.
Prioritization Techniques for Agile TeamsTarang Baxi
Have you ever been in a prioritization discussion where the only priorities are High, Higher, and Highest? Or tried using MoSCoW to prioritize user stories only to find
that 80% of the cards are 'Must Have'?
In this tutorial, we introduce a gamut of different prioritization methods, ranging from simple techniques like stacked ranking or MoSCoW that classify items along a single dimension to multi-dimensional techniques like priority quadrants, Story Maps, and Innovation Games®. We cover pruning feature trees, spending fake currency, and using visual metaphors, while truly identifying what the most important stuff really is. This was most recently presented at the Agile India 2013 conference in Bangalore.
This document presents information on sensitivity analysis techniques. It discusses how sensitivity analysis is used to determine how changes to independent variables impact dependent variables given certain assumptions. It also describes how sensitivity analysis can predict outcomes if a situation differs from key predictions. Various sensitivity analysis methods are outlined, including correlation and screening techniques, regression analysis, and analyzing oscillations through measuring behavior patterns like period and amplitude. An example of applying sensitivity analysis to a simple supply chain model is also provided.
Linear programming - Model formulation, Graphical MethodJoseph Konnully
The document discusses linear programming, including an overview of the topic, model formulation, graphical solutions, and irregular problem types. It provides examples to demonstrate how to set up linear programming models for maximization and minimization problems, interpret feasible and optimal solution regions graphically, and address multiple optimal solutions, infeasible solutions, and unbounded solutions. The examples aid in understanding the key steps and components of linear programming models.
- The document discusses linear programming models and their use in business analytics and decision making.
- It provides an overview of linear programming, including its basic assumptions, requirements, and how to formulate linear programming problems.
- As an example, it formulates the linear programming problem of Flair Furniture Company, which seeks to maximize profit by determining the optimal production mix of tables and chairs given resource constraints.
- Graphical and Excel solutions to the Flair Furniture problem are presented to illustrate how to solve linear programming problems.
The document discusses problem solving in computer science and algorithms. It defines an algorithm as a clearly defined set of steps to solve a problem. Key characteristics of algorithms are that they are unambiguous, have well-defined inputs and outputs, terminate in a finite number of steps, and are independent of programming languages. Examples of algorithms that find the largest number among three inputs and calculate a factorial are provided. The document also discusses sorting problems and examples of problems solved by algorithms like the human genome project, internet routing, and electronic commerce.
This document provides information about an algorithms course, including the course syllabus and topics that will be covered. The course topics include introduction to algorithms, analysis of algorithms, algorithm design techniques like divide and conquer, greedy algorithms, dynamic programming, backtracking, and branch and bound. It also covers NP-hard and NP-complete problems. The syllabus outlines 5 units that will analyze performance, teach algorithm design methods, and solve problems using techniques like divide and conquer, dynamic programming, and backtracking. It aims to help students choose appropriate algorithms and data structures for applications and understand how algorithm design impacts program performance.
This document outlines a project to design and implement a tool for solving business optimization problems using operations research techniques. It lists the team members and provides an abstract, introduction, objectives, methodology, outcomes, literature review, and project plan. The tool will generate optimal solutions for problems involving resource allocation, production planning, transportation, and routing using linear programming, transportation models, assignment problems, and game theory.
This document provides an overview of a lecture on designing and analyzing computer algorithms. It discusses key concepts like what an algorithm and program are, common algorithm design techniques like divide-and-conquer and greedy methods, and how to analyze algorithms' time and space complexity. The goals of analyzing algorithms are to understand their behavior, improve efficiency, and determine whether problems can be solved within a reasonable time frame.
This document presents 15 quantitative techniques and tools: Linear Programming, Queuing Theory, Inventory Control Method, Net Work Analysis, Replacement Problems, Sequencing, Integer Programming, Assignment Problems, Transportation Problems, Decision Theory and Game Theory, Markov Analysis, Simulation, Dynamic Programming, Goal Programming, and Symbolic Logic. It provides a brief overview of each technique, describing its purpose and typical applications.
Scaling Personalization via Machine-Learned Assortment Optimizationrosentep
From DataEngConf NYC 2018
https://www.datacouncil.ai/speaker/scaling-personalization-via-machine-learned-assortment-optimization
--
Machine learning has revolutionized the capability of businesses to create personalized experiences via real-time, individual predictions and recommendations. But what happens when one must make thousands of decisions for thousands of individuals at the same time?
At Dia&Co, a plus-size women’s styling service, we recently faced such an obstacle when building out a brand new product line for the business. This talk will explore how we combined modern machine learning with classical operations research techniques to scale personalization in the face of constraints inherent to a retail business.
The basics of operations research will be introduced before demonstrating how to solve a simple version of our real-world problem using all open source libraries. I will then reveal the gory details of productionizing this work, from testing to gracefully handling failures of convergence. Finally, I will cover the journey from the coldest of starts, with zero data, to synthesizing machine learning with the operations research problem.
Download Complete Material - https://www.instamojo.com/prashanth_ns/
This Data Structures and Algorithms contain 15 Units and each Unit contains 60 to 80 slides in it.
Contents…
• Introduction
• Algorithm Analysis
• Asymptotic Notation
• Foundational Data Structures
• Data Types and Abstraction
• Stacks, Queues and Deques
• Ordered Lists and Sorted Lists
• Hashing, Hash Tables and Scatter Tables
• Trees and Search Trees
• Heaps and Priority Queues
• Sets, Multi-sets and Partitions
• Dynamic Storage Allocation: The Other Kind of Heap
• Algorithmic Patterns and Problem Solvers
• Sorting Algorithms and Sorters
• Graphs and Graph Algorithms
• Class Hierarchy Diagrams
• Character Codes
This Machine Learning Algorithms presentation will help you learn you what machine learning is, and the various ways in which you can use machine learning to solve a problem. At the end, you will see a demo on linear regression, logistic regression, decision tree and random forest. This Machine Learning Algorithms presentation is designed for beginners to make them understand how to implement the different Machine Learning Algorithms.
Below topics are covered in this Machine Learning Algorithms Presentation:
1. Real world applications of Machine Learning
2. What is Machine Learning?
3. Processes involved in Machine Learning
4. Type of Machine Learning Algorithms
5. Popular Algorithms with a hands-on demo
- Linear regression
- Logistic regression
- Decision tree and Random forest
- N Nearest neighbor
What is Machine Learning: Machine Learning is an application of Artificial Intelligence (AI) that provides systems the ability to automatically learn and improve from experience without being explicitly programmed.
- - - - - - - -
About Simplilearn Machine Learning course:
A form of artificial intelligence, Machine Learning is revolutionizing the world of computing as well as all people’s digital interactions. Machine Learning powers such innovative automated technologies as recommendation engines, facial recognition, fraud protection and even self-driving cars.This Machine Learning course prepares engineers, data scientists and other professionals with knowledge and hands-on skills required for certification and job competency in Machine Learning.
- - - - - - -
Why learn Machine Learning?
Machine Learning is taking over the world- and with that, there is a growing need among companies for professionals to know the ins and outs of Machine Learning
The Machine Learning market size is expected to grow from USD 1.03 Billion in 2016 to USD 8.81 Billion by 2022, at a Compound Annual Growth Rate (CAGR) of 44.1% during the forecast period.
- - - - - -
What skills will you learn from this Machine Learning course?
By the end of this Machine Learning course, you will be able to:
1. Master the concepts of supervised, unsupervised and reinforcement learning concepts and modeling.
2. Gain practical mastery over principles, algorithms, and applications of Machine Learning through a hands-on approach which includes working on 28 projects and one capstone project.
3. Acquire thorough knowledge of the mathematical and heuristic aspects of Machine Learning.
4. Understand the concepts and operation of support vector machines, kernel SVM, naive Bayes, decision tree classifier, random forest classifier, logistic regression, K-nearest neighbors, K-means clustering and more.
5. Be able to model a wide variety of robust Machine Learning algorithms including deep learning, clustering, and recommendation systems
- - - - - - -
An algorithm is a plan, a logical step-by-step process for solving a problem. Algorithms are normally written as a flowchart or in pseudo-code.
A flowchart is a diagram that represents a set of instructions. Flowcharts normally use standard symbols to represent the different types of instructions. These symbols are used to construct the flowchart and show the step-by-step solution to the problem.
Dynamic programming is used to solve optimization problems by breaking them down into subproblems. It solves each subproblem only once, storing the results in a table to lookup when the subproblem recurs. This avoids recomputing solutions and reduces computation. The key is determining the optimal substructure of problems. It involves characterizing optimal solutions recursively, computing values in a bottom-up table, and tracing back the optimal solution. An example is the 0/1 knapsack problem to maximize profit fitting items in a knapsack of limited capacity.
The document discusses Gomory's Cutting Plane Method for solving integer programming problems (IPPs). It begins by introducing all-integer linear programs (AILPs) and mixed-integer linear programs (MILPs). It then describes how Gomory's method works by taking the linear programming (LP) relaxation of an IPP, obtaining the fractional solution, deriving a cutting plane constraint, and adding it to strengthen the LP relaxation until an optimal integer solution is found. The key steps are to decompose the LP into basic and non-basic variables, derive cutting plane coefficients from the LP tableau, and add constraints of the form [yij]xj + xBi - yi0 ≤ 0 to eliminate fractional solutions.
The document introduces dynamic programming as a technique for making optimal decisions over multiple time periods. It discusses how dynamic programming breaks large problems into smaller subproblems and solves each in order, working backwards from the last period. The document provides an example of using dynamic programming to find the shortest route between two cities by breaking the problem into stages and working backwards from the final destination.
Dynamic programming is an algorithm design technique that solves problems by breaking them down into smaller overlapping subproblems and storing the results of already solved subproblems, rather than recomputing them. It is applicable to problems exhibiting optimal substructure and overlapping subproblems. The key steps are to define the optimal substructure, recursively define the optimal solution value, compute values bottom-up, and optionally reconstruct the optimal solution. Common examples that can be solved with dynamic programming include knapsack, shortest paths, matrix chain multiplication, and longest common subsequence.
The document discusses the IoT ecosystem in India and identifies several challenges and opportunities. It notes that IoT presents both challenges and opportunities for India given its unique landscape as an emerging economy. Some key challenges include lack of skills, speed and scale of development, and product realization process maturity. The document argues that government, academia, and industry need to increase collaboration on projects of national significance to help accelerate India's IoT development. It also predicts that future shifts may include open and crowdsourced IoT networks, corporate venturing through organized disruption, and open social innovation.
The document discusses dynamic programming and provides examples of problems that can be solved using dynamic programming including unidirectional traveling salesman problem, coin change, longest common subsequence, and longest increasing subsequence. Source code is presented for solving these problems using dynamic programming including dynamic programming tables, tracing optimal solutions, and time complexity analysis. Various online judges are listed that contain sample problems relating to these dynamic programming techniques.
Numerical analysis dual, primal, revised simplexSHAMJITH KM
The document discusses linear programming optimization methods including the revised simplex method, duality of LP problems, dual simplex method, and sensitivity analysis. It provides details on the iterative steps of the revised and dual simplex methods. Examples are provided to illustrate finding the dual of a primal LP problem and solving the dual using the dual simplex method. Sensitivity analysis is introduced as examining how changes to coefficients or right-hand sides can impact optimality and feasibility.
The document discusses sensitivity analysis for a linear programming problem. It provides an example of a manufacturing company that produces two types of grates. The optimal solution from solving the linear program is to produce 120 model A grates and 160 model B grates per day for a maximum profit of Rs. 480. Sensitivity analysis is then performed to determine how changes to the objective function coefficients and right-hand side constants of the constraints impact the optimal solution. The ranges that each coefficient can change without affecting optimality are identified.
Prioritization Techniques for Agile TeamsTarang Baxi
Have you ever been in a prioritization discussion where the only priorities are High, Higher, and Highest? Or tried using MoSCoW to prioritize user stories only to find
that 80% of the cards are 'Must Have'?
In this tutorial, we introduce a gamut of different prioritization methods, ranging from simple techniques like stacked ranking or MoSCoW that classify items along a single dimension to multi-dimensional techniques like priority quadrants, Story Maps, and Innovation Games®. We cover pruning feature trees, spending fake currency, and using visual metaphors, while truly identifying what the most important stuff really is. This was most recently presented at the Agile India 2013 conference in Bangalore.
This document presents information on sensitivity analysis techniques. It discusses how sensitivity analysis is used to determine how changes to independent variables impact dependent variables given certain assumptions. It also describes how sensitivity analysis can predict outcomes if a situation differs from key predictions. Various sensitivity analysis methods are outlined, including correlation and screening techniques, regression analysis, and analyzing oscillations through measuring behavior patterns like period and amplitude. An example of applying sensitivity analysis to a simple supply chain model is also provided.
Linear programming - Model formulation, Graphical MethodJoseph Konnully
The document discusses linear programming, including an overview of the topic, model formulation, graphical solutions, and irregular problem types. It provides examples to demonstrate how to set up linear programming models for maximization and minimization problems, interpret feasible and optimal solution regions graphically, and address multiple optimal solutions, infeasible solutions, and unbounded solutions. The examples aid in understanding the key steps and components of linear programming models.
- The document discusses linear programming models and their use in business analytics and decision making.
- It provides an overview of linear programming, including its basic assumptions, requirements, and how to formulate linear programming problems.
- As an example, it formulates the linear programming problem of Flair Furniture Company, which seeks to maximize profit by determining the optimal production mix of tables and chairs given resource constraints.
- Graphical and Excel solutions to the Flair Furniture problem are presented to illustrate how to solve linear programming problems.
The document discusses problem solving in computer science and algorithms. It defines an algorithm as a clearly defined set of steps to solve a problem. Key characteristics of algorithms are that they are unambiguous, have well-defined inputs and outputs, terminate in a finite number of steps, and are independent of programming languages. Examples of algorithms that find the largest number among three inputs and calculate a factorial are provided. The document also discusses sorting problems and examples of problems solved by algorithms like the human genome project, internet routing, and electronic commerce.
This document provides information about an algorithms course, including the course syllabus and topics that will be covered. The course topics include introduction to algorithms, analysis of algorithms, algorithm design techniques like divide and conquer, greedy algorithms, dynamic programming, backtracking, and branch and bound. It also covers NP-hard and NP-complete problems. The syllabus outlines 5 units that will analyze performance, teach algorithm design methods, and solve problems using techniques like divide and conquer, dynamic programming, and backtracking. It aims to help students choose appropriate algorithms and data structures for applications and understand how algorithm design impacts program performance.
This document outlines a project to design and implement a tool for solving business optimization problems using operations research techniques. It lists the team members and provides an abstract, introduction, objectives, methodology, outcomes, literature review, and project plan. The tool will generate optimal solutions for problems involving resource allocation, production planning, transportation, and routing using linear programming, transportation models, assignment problems, and game theory.
This document provides an overview of a lecture on designing and analyzing computer algorithms. It discusses key concepts like what an algorithm and program are, common algorithm design techniques like divide-and-conquer and greedy methods, and how to analyze algorithms' time and space complexity. The goals of analyzing algorithms are to understand their behavior, improve efficiency, and determine whether problems can be solved within a reasonable time frame.
This document presents 15 quantitative techniques and tools: Linear Programming, Queuing Theory, Inventory Control Method, Net Work Analysis, Replacement Problems, Sequencing, Integer Programming, Assignment Problems, Transportation Problems, Decision Theory and Game Theory, Markov Analysis, Simulation, Dynamic Programming, Goal Programming, and Symbolic Logic. It provides a brief overview of each technique, describing its purpose and typical applications.
Scaling Personalization via Machine-Learned Assortment Optimizationrosentep
From DataEngConf NYC 2018
https://www.datacouncil.ai/speaker/scaling-personalization-via-machine-learned-assortment-optimization
--
Machine learning has revolutionized the capability of businesses to create personalized experiences via real-time, individual predictions and recommendations. But what happens when one must make thousands of decisions for thousands of individuals at the same time?
At Dia&Co, a plus-size women’s styling service, we recently faced such an obstacle when building out a brand new product line for the business. This talk will explore how we combined modern machine learning with classical operations research techniques to scale personalization in the face of constraints inherent to a retail business.
The basics of operations research will be introduced before demonstrating how to solve a simple version of our real-world problem using all open source libraries. I will then reveal the gory details of productionizing this work, from testing to gracefully handling failures of convergence. Finally, I will cover the journey from the coldest of starts, with zero data, to synthesizing machine learning with the operations research problem.
Download Complete Material - https://www.instamojo.com/prashanth_ns/
This Data Structures and Algorithms contain 15 Units and each Unit contains 60 to 80 slides in it.
Contents…
• Introduction
• Algorithm Analysis
• Asymptotic Notation
• Foundational Data Structures
• Data Types and Abstraction
• Stacks, Queues and Deques
• Ordered Lists and Sorted Lists
• Hashing, Hash Tables and Scatter Tables
• Trees and Search Trees
• Heaps and Priority Queues
• Sets, Multi-sets and Partitions
• Dynamic Storage Allocation: The Other Kind of Heap
• Algorithmic Patterns and Problem Solvers
• Sorting Algorithms and Sorters
• Graphs and Graph Algorithms
• Class Hierarchy Diagrams
• Character Codes
This Machine Learning Algorithms presentation will help you learn you what machine learning is, and the various ways in which you can use machine learning to solve a problem. At the end, you will see a demo on linear regression, logistic regression, decision tree and random forest. This Machine Learning Algorithms presentation is designed for beginners to make them understand how to implement the different Machine Learning Algorithms.
Below topics are covered in this Machine Learning Algorithms Presentation:
1. Real world applications of Machine Learning
2. What is Machine Learning?
3. Processes involved in Machine Learning
4. Type of Machine Learning Algorithms
5. Popular Algorithms with a hands-on demo
- Linear regression
- Logistic regression
- Decision tree and Random forest
- N Nearest neighbor
What is Machine Learning: Machine Learning is an application of Artificial Intelligence (AI) that provides systems the ability to automatically learn and improve from experience without being explicitly programmed.
- - - - - - - -
About Simplilearn Machine Learning course:
A form of artificial intelligence, Machine Learning is revolutionizing the world of computing as well as all people’s digital interactions. Machine Learning powers such innovative automated technologies as recommendation engines, facial recognition, fraud protection and even self-driving cars.This Machine Learning course prepares engineers, data scientists and other professionals with knowledge and hands-on skills required for certification and job competency in Machine Learning.
- - - - - - -
Why learn Machine Learning?
Machine Learning is taking over the world- and with that, there is a growing need among companies for professionals to know the ins and outs of Machine Learning
The Machine Learning market size is expected to grow from USD 1.03 Billion in 2016 to USD 8.81 Billion by 2022, at a Compound Annual Growth Rate (CAGR) of 44.1% during the forecast period.
- - - - - -
What skills will you learn from this Machine Learning course?
By the end of this Machine Learning course, you will be able to:
1. Master the concepts of supervised, unsupervised and reinforcement learning concepts and modeling.
2. Gain practical mastery over principles, algorithms, and applications of Machine Learning through a hands-on approach which includes working on 28 projects and one capstone project.
3. Acquire thorough knowledge of the mathematical and heuristic aspects of Machine Learning.
4. Understand the concepts and operation of support vector machines, kernel SVM, naive Bayes, decision tree classifier, random forest classifier, logistic regression, K-nearest neighbors, K-means clustering and more.
5. Be able to model a wide variety of robust Machine Learning algorithms including deep learning, clustering, and recommendation systems
- - - - - - -
An algorithm is a plan, a logical step-by-step process for solving a problem. Algorithms are normally written as a flowchart or in pseudo-code.
A flowchart is a diagram that represents a set of instructions. Flowcharts normally use standard symbols to represent the different types of instructions. These symbols are used to construct the flowchart and show the step-by-step solution to the problem.
Using Interactive Genetic Algorithm for Requirements PrioritizationFrancis Palma
This document describes using a genetic algorithm to prioritize requirements. It begins with an outline and introduction to the problem of prioritizing software requirements. It then discusses related prioritization techniques from literature and how they have limitations like poor scalability. The document proposes using a genetic algorithm to prioritize requirements, leveraging domain knowledge graphs representing priority and dependencies. It describes representing potential solutions as individuals in a population, calculating fitness by counting disagreements with domain knowledge, and using genetic operators like crossover to evolve better solutions over generations. The goal is to find a prioritized requirements list that best satisfies constraints and delivers value to users.
Classification of optimization Techniquesshelememosisa
The document discusses different types and methods of optimization problems. It defines optimization as finding the maximum or minimum value of a quantity given certain limits. It provides examples of problems that can be modeled by optimization like scheduling, network design, and inventory management. The document then covers classical optimization techniques using calculus, numerical methods like linear programming, and advanced methods such as swarm intelligence algorithms. It also discusses different software that can be used to solve optimization problems including Excel, Python, and MATLAB.
Hybrid Multi-Gradient Explorer Algorithm for Global Multi-Objective OptimizationeArtius, Inc.
Hybrid Multi-Gradient Explorer (HMGE) algorithm for global multi-objective
optimization of objective functions considered in a multi-dimensional domain is presented. The proposed hybrid algorithm relies on genetic variation operators for creating new solutions, but in addition to a standard random mutation operator, HMGE
uses a gradient mutation operator, which improves convergence. Thus, random mutation helps find global Pareto frontier, and gradient mutation improves convergence to the
Pareto frontier. In such a way HMGE algorithm combines advantages of both
gradient-based and GA-based optimization techniques: it is as fast as a pure gradient-based MGE algorithm, and is able to find the global Pareto frontier similar to genetic algorithms
(GA). HMGE employs Dynamically Dimensioned Response Surface Method (DDRSM) for calculating gradients. DDRSM dynamically recognizes the most significant design variables, and builds local approximations based only on the variables. This allows one to
estimate gradients by the price of 4-5 model evaluations without significant loss of accuracy. As a result, HMGE efficiently optimizes highly non-linear models with dozens and hundreds of design variables, and with multiple Pareto fronts. HMGE efficiency is 2-10
times higher when compared to the most advanced commercial GAs.
The document discusses the importance of algorithms and their role in problem solving. It defines what an algorithm is and explains that they are sets of instructions to solve problems efficiently. The document outlines different algorithm design techniques and how algorithms shape applications like search engines, recommendations, and maps. It also discusses qualities of good algorithms like correctness, termination, and performance and analyzing algorithms through pseudocode and empirical testing.
This document describes an approach to automatically grade programming assignments using machine learning. It discusses existing solutions like manual evaluation and test-case based evaluation that do not scale well. The proposed approach uses control and data dependency features extracted from programs to train a machine learning model on a small set of human-graded programs. Experimental results on sorting problems show the machine learning scores match human scores better than test-case based evaluation. Insights from features also help understand human grading criteria.
This document provides an overview of a faculty development program on operations management focusing on supply chain analytics. It discusses the origin and evolution of supply chain management. It also defines different types of analytics including data analytics and big data analytics. The document outlines various decision science models such as quantitative, qualitative, simulation-based, and advanced models. It provides examples of applications of decision science in various organizations. Finally, it introduces linear programming techniques for prescriptive analytics and provides an example linear programming model to maximize profit from production.
the application of machine lerning algorithm for SEEKiranKumar671235
The document discusses using machine learning algorithms to accurately estimate software development effort (SDE). It proposes using a modified Jaya optimization algorithm to select important features which are then input to an extreme gradient boosting model for SDE estimation. The key objectives are to develop a novel feature selection method, propose an ensemble model for accurate prediction, and improve prediction ability using deep learning stacking. It reviews related work applying metaheuristic and machine learning techniques for SDE estimation and outlines the proposed approach of using modified Jaya optimization and extreme gradient boosting.
A Real Coded Genetic Algorithm For Solving Integer And Mixed Integer Optimiza...Jim Jimenez
This document describes a real coded genetic algorithm called MI-LXPM for solving integer and mixed integer constrained optimization problems. MI-LXPM modifies and extends an existing real coded genetic algorithm (LXPM) to handle integer restrictions on decision variables. It incorporates a truncation procedure to satisfy integer restrictions and a penalty approach for handling constraints. The performance of MI-LXPM is tested on 20 problems and compared to other algorithms, showing it outperforms them in most cases.
This document provides an overview of an algorithms analysis course. It discusses key topics that will be covered like complexity measures, algorithm structures, efficiency, and data structures. Assignments, projects, and exams will be used for grading. Common problems like sorting and searching will be analyzed along with data structures like arrays, linked lists, stacks, queues, graphs, and trees. The goal is to prepare students to analyze algorithms, compare their efficiency, and design optimized solutions.
Embedded machine learning-based road conditions and driving behavior monitoringIJECEIAES
Car accident rates have increased in recent years, resulting in losses in human lives, properties, and other financial costs. An embedded machine learning-based system is developed to address this critical issue. The system can monitor road conditions, detect driving patterns, and identify aggressive driving behaviors. The system is based on neural networks trained on a comprehensive dataset of driving events, driving styles, and road conditions. The system effectively detects potential risks and helps mitigate the frequency and impact of accidents. The primary goal is to ensure the safety of drivers and vehicles. Collecting data involved gathering information on three key road events: normal street and normal drive, speed bumps, circular yellow speed bumps, and three aggressive driving actions: sudden start, sudden stop, and sudden entry. The gathered data is processed and analyzed using a machine learning system designed for limited power and memory devices. The developed system resulted in 91.9% accuracy, 93.6% precision, and 92% recall. The achieved inference time on an Arduino Nano 33 BLE Sense with a 32-bit CPU running at 64 MHz is 34 ms and requires 2.6 kB peak RAM and 139.9 kB program flash memory, making it suitable for resource-constrained embedded systems.
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...PIMR BHOPAL
Variable frequency drive .A Variable Frequency Drive (VFD) is an electronic device used to control the speed and torque of an electric motor by varying the frequency and voltage of its power supply. VFDs are widely used in industrial applications for motor control, providing significant energy savings and precise motor operation.
Gas agency management system project report.pdfKamal Acharya
The project entitled "Gas Agency" is done to make the manual process easier by making it a computerized system for billing and maintaining stock. The Gas Agencies get the order request through phone calls or by personal from their customers and deliver the gas cylinders to their address based on their demand and previous delivery date. This process is made computerized and the customer's name, address and stock details are stored in a database. Based on this the billing for a customer is made simple and easier, since a customer order for gas can be accepted only after completing a certain period from the previous delivery. This can be calculated and billed easily through this. There are two types of delivery like domestic purpose use delivery and commercial purpose use delivery. The bill rate and capacity differs for both. This can be easily maintained and charged accordingly.
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...IJECEIAES
Climate change's impact on the planet forced the United Nations and governments to promote green energies and electric transportation. The deployments of photovoltaic (PV) and electric vehicle (EV) systems gained stronger momentum due to their numerous advantages over fossil fuel types. The advantages go beyond sustainability to reach financial support and stability. The work in this paper introduces the hybrid system between PV and EV to support industrial and commercial plants. This paper covers the theoretical framework of the proposed hybrid system including the required equation to complete the cost analysis when PV and EV are present. In addition, the proposed design diagram which sets the priorities and requirements of the system is presented. The proposed approach allows setup to advance their power stability, especially during power outages. The presented information supports researchers and plant owners to complete the necessary analysis while promoting the deployment of clean energy. The result of a case study that represents a dairy milk farmer supports the theoretical works and highlights its advanced benefits to existing plants. The short return on investment of the proposed approach supports the paper's novelty approach for the sustainable electrical system. In addition, the proposed system allows for an isolated power setup without the need for a transmission line which enhances the safety of the electrical network
Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...PriyankaKilaniya
Energy efficiency has been important since the latter part of the last century. The main object of this survey is to determine the energy efficiency knowledge among consumers. Two separate districts in Bangladesh are selected to conduct the survey on households and showrooms about the energy and seller also. The survey uses the data to find some regression equations from which it is easy to predict energy efficiency knowledge. The data is analyzed and calculated based on five important criteria. The initial target was to find some factors that help predict a person's energy efficiency knowledge. From the survey, it is found that the energy efficiency awareness among the people of our country is very low. Relationships between household energy use behaviors are estimated using a unique dataset of about 40 households and 20 showrooms in Bangladesh's Chapainawabganj and Bagerhat districts. Knowledge of energy consumption and energy efficiency technology options is found to be associated with household use of energy conservation practices. Household characteristics also influence household energy use behavior. Younger household cohorts are more likely to adopt energy-efficient technologies and energy conservation practices and place primary importance on energy saving for environmental reasons. Education also influences attitudes toward energy conservation in Bangladesh. Low-education households indicate they primarily save electricity for the environment while high-education households indicate they are motivated by environmental concerns.
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Sinan KOZAK
Sinan from the Delivery Hero mobile infrastructure engineering team shares a deep dive into performance acceleration with Gradle build cache optimizations. Sinan shares their journey into solving complex build-cache problems that affect Gradle builds. By understanding the challenges and solutions found in our journey, we aim to demonstrate the possibilities for faster builds. The case study reveals how overlapping outputs and cache misconfigurations led to significant increases in build times, especially as the project scaled up with numerous modules using Paparazzi tests. The journey from diagnosing to defeating cache issues offers invaluable lessons on maintaining cache integrity without sacrificing functionality.
Introduction- e - waste – definition - sources of e-waste– hazardous substances in e-waste - effects of e-waste on environment and human health- need for e-waste management– e-waste handling rules - waste minimization techniques for managing e-waste – recycling of e-waste - disposal treatment methods of e- waste – mechanism of extraction of precious metal from leaching solution-global Scenario of E-waste – E-waste in India- case studies.
AI for Legal Research with applications, toolsmahaffeycheryld
AI applications in legal research include rapid document analysis, case law review, and statute interpretation. AI-powered tools can sift through vast legal databases to find relevant precedents and citations, enhancing research accuracy and speed. They assist in legal writing by drafting and proofreading documents. Predictive analytics help foresee case outcomes based on historical data, aiding in strategic decision-making. AI also automates routine tasks like contract review and due diligence, freeing up lawyers to focus on complex legal issues. These applications make legal research more efficient, cost-effective, and accessible.
1. A Software approach to
Mathematical Programming
Arian Razmi Farooji
4 March 2015
2. List of Contents
• Introduction
• Mathematical Programming
• Mathematical Programming techniques
• Solving a Mathematical Model
• Mathematical Programming Software
• GAMS Software
• Heuristics and Metaheuristics
• References
A Software Approach to Mathematical Programming-Arian Razmi Farooji 1
3. Introduction
A Software Approach to Mathematical Programming-Arian Razmi Farooji 2
Operations
Research
Mathematical
Optimizations
Simulations
Markov Chains
Data Analysis
Statistics
Neural Networks
Queuing Theory
Expert Systems
Economic Methods
Decision Analysis
4. Mathematical Programming
A Software Approach to Mathematical Programming-Arian Razmi Farooji 3
Problem Definition
Model Construction
Model Solution
Model Validity
Implementation
Real World
Assumed
Real World
Model
6. Solving a Mathematical Programming
• Goal :
“ To find an Optimum solution ”
• Algorithms:
− provides fixed computational rules
− are applied repeatedly to the problem
− each repetition (iteration) moving the solution closer
to the optimum.
A Software Approach to Mathematical Programming-Arian Razmi Farooji 5
7. Solving a Mathematical Programming
• Simplex Method
− solves LP problems
− tests adjacent vertices of the feasible sets
− at each iteration Simplex chooses the variable that
will produce the largest change towards optimum
solution
• Software
− GAMS
− AMPL
− Lingo
− …
A Software Approach to Mathematical Programming-Arian Razmi Farooji 6
8. GAMS Software
What is GAMS?
• General Algebraic Modeling System
• High-level modeling system for mathematical
optimization
• GAMS solves
−Linear optimizations
−Non-linear optimizations
−Mixed-integer optimizations
• Tailored for large scales optimization problems
A Software Approach to Mathematical Programming-Arian Razmi Farooji 7
9. GAMS Software
Transportation Problem
A Software Approach to Mathematical Programming-Arian Razmi Farooji 8
1
2
m
1
n
Sources (𝑖) Destinations (𝑗)
.
.
.
.
.
.
𝑐11
𝑐1𝑛
𝑐21
𝑐2𝑛
𝑐 𝑚1
𝑐 𝑚𝑛
𝑎1
𝑎2
𝑎 𝑚
𝑏1
𝑏 𝑛
10. GAMS Software
Decision Variable
𝑥𝑖𝑗
𝑐𝑖𝑗
𝑎𝑖
𝑏𝑗
A Software Approach to Mathematical Programming-Arian Razmi Farooji 9
The amount shipped from i to j
min 𝑧 =
𝑖=1
𝑚
𝑗=1
𝑛
𝑐𝑖𝑗 𝑥𝑖𝑗
𝑗=1
𝑛
𝑥𝑖𝑗 ≤ 𝑎𝑖 𝑓𝑜𝑟 𝑖 = 1, , , , , 𝑚
𝑖=1
𝑚
𝑥𝑖𝑗 ≥ 𝑏𝑗 𝑓𝑜𝑟𝑗 = 1, , , , , 𝑛
Mathematical Formulation
Parameters
Shipping Cost from i to j
Supply Capacity of source i
Demand of Destination j
𝑥𝑖𝑗 ≥ 0 𝑓𝑜𝑟 𝑎𝑙𝑙 𝑖 𝑎𝑛𝑑 𝑗
𝑆𝑢𝑏𝑗𝑒𝑐𝑡 𝑡𝑜:
11. GAMS Software
Example (Hamdy Taha, 2011)
A Software Approach to Mathematical Programming-Arian Razmi Farooji 10
LA
Detroit
New
Orleans
Denver
Miami
Sources
Destinations
1000
1500
1200
2300
1400
12. GAMS Software
Example-Parameters
A Software Approach to Mathematical Programming-Arian Razmi Farooji 11
Table (1). Transportation Cost per Car
Denver Miami
Los Angeles $80 $215
Detroit $100 $108
New Orleans $102 $68
14. Heuristics and Metaheuristics
• Both find “good and satisfactory” solutions in
shorter time
• The quality of algorithms is usually based on a
tradeoff between:
−Optimality
−Completeness
−Accuracy
−Execution Time
A Software Approach to Mathematical Programming-Arian Razmi Farooji 13
15. Assignment
• Formulate the following transportation problem and
solve it in GAMS.
• Download GAMS here
A Software Approach to Mathematical Programming-Arian Razmi Farooji 14
Shipping Costs
Warehouses Supply
1 2 3 4
Factories
1 470 520 654 890 75
2 350 416 690 750 100
3 995 670 350 685 125
Demand 85 70 65 80
16. References
1. Taha, H., Operations Research an Introduction, Pearson,
New Jersey, 2011
2. INFORMS: What is Operations Research?
3. GAMS Website
4. Richard E. Rosenthal’s GAMS Tutorial
5. Wikipedia: General Algebraic Modeling System
6. Education.com: Algorithms and Heuristics
A Software Approach to Mathematical Programming-Arian Razmi Farooji 15
17. Thank You for Your Attention
A Software Approach to Mathematical Programming-Arian Razmi Farooji
18. Question and Answer
A Software Approach to Mathematical Programming-Arian Razmi Farooji
19. A Software approach to
Mathematical Programming
Arian Razmi Farooji
4 March 2015
arian.razmifarooji@student.oulu.fi