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The document summarizes algorithms including greedy algorithm, fractional knapsack problem, 0/1 knapsack problem, dynamic programming, longest common subsequence problem, and Huffman coding. It provides code implementations and examples for fractional knapsack and longest common subsequence algorithms. It also outlines the major steps for the Huffman coding algorithm.
This document discusses linear equations and functions. It provides examples of solving linear equations, including special cases where equations have no solution or infinitely many solutions. Applications involving linear models for distance, rate, and time as well as simple interest are presented. The key concepts of zeros of linear functions and finding the zero of a given linear function are also covered.
We develop a new method to optimize portfolios of options in a market where European calls and puts are available with many exercise prices for each of several potentially correlated underlying assets. We identify the combination of asset-specific option payoffs that maximizes the Sharpe ratio of the overall portfolio: such payoffs are the unique solution to a system of integral equations, which reduce to a linear matrix equation under suitable representations of the underlying probabilities. Even when implied volatilities are all higher than historical volatilities, it can be optimal to sell options on some assets while buying options on others, as hedging demand outweighs demand for asset-specific returns.
The document provides examples of linear programming problems and their formulations. It discusses the key components of a linear programming problem including decision variables, objective function, and constraints.
Example 1 describes a manufacturing problem with constraints on grinding and polishing hours. The objective is to maximize profit by determining the optimal production quantities of two models.
Example 2 formulates a production problem with constraints on raw materials and labor hours. The objective is to maximize profit by determining the optimal production quantities of two products.
Example 3 formulates a farming problem with constraints on fertilizer requirements. The objective is to minimize cost by determining the optimal quantities of two fertilizer mixtures to purchase.
This document outlines key concepts for constructing confidence intervals for a population mean when sample sizes are large or small. It discusses how to find point estimates and margins of error, and how to construct confidence intervals using z-scores or t-statistics depending on sample size. Examples are provided to demonstrate how to calculate critical values, margins of error, and minimum sample sizes needed to estimate population means within a given level of confidence.
The document introduces linear programming through an example of a candy manufacturer that must determine how many cases of two candy products to make to maximize profit given constraints on available ingredients. It defines variables and constraints, graphs the feasible region, determines the optimal solution that maximizes profit, and discusses how linear programming can be applied to problems with multiple variables and constraints.
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To get fully solved assignments
Dear students, please send your semester & Specialization name here.
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
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The document summarizes algorithms including greedy algorithm, fractional knapsack problem, 0/1 knapsack problem, dynamic programming, longest common subsequence problem, and Huffman coding. It provides code implementations and examples for fractional knapsack and longest common subsequence algorithms. It also outlines the major steps for the Huffman coding algorithm.
This document discusses linear equations and functions. It provides examples of solving linear equations, including special cases where equations have no solution or infinitely many solutions. Applications involving linear models for distance, rate, and time as well as simple interest are presented. The key concepts of zeros of linear functions and finding the zero of a given linear function are also covered.
We develop a new method to optimize portfolios of options in a market where European calls and puts are available with many exercise prices for each of several potentially correlated underlying assets. We identify the combination of asset-specific option payoffs that maximizes the Sharpe ratio of the overall portfolio: such payoffs are the unique solution to a system of integral equations, which reduce to a linear matrix equation under suitable representations of the underlying probabilities. Even when implied volatilities are all higher than historical volatilities, it can be optimal to sell options on some assets while buying options on others, as hedging demand outweighs demand for asset-specific returns.
The document provides examples of linear programming problems and their formulations. It discusses the key components of a linear programming problem including decision variables, objective function, and constraints.
Example 1 describes a manufacturing problem with constraints on grinding and polishing hours. The objective is to maximize profit by determining the optimal production quantities of two models.
Example 2 formulates a production problem with constraints on raw materials and labor hours. The objective is to maximize profit by determining the optimal production quantities of two products.
Example 3 formulates a farming problem with constraints on fertilizer requirements. The objective is to minimize cost by determining the optimal quantities of two fertilizer mixtures to purchase.
This document outlines key concepts for constructing confidence intervals for a population mean when sample sizes are large or small. It discusses how to find point estimates and margins of error, and how to construct confidence intervals using z-scores or t-statistics depending on sample size. Examples are provided to demonstrate how to calculate critical values, margins of error, and minimum sample sizes needed to estimate population means within a given level of confidence.
The document introduces linear programming through an example of a candy manufacturer that must determine how many cases of two candy products to make to maximize profit given constraints on available ingredients. It defines variables and constraints, graphs the feasible region, determines the optimal solution that maximizes profit, and discusses how linear programming can be applied to problems with multiple variables and constraints.
Memorias Webcast Reconozca los Errores típicos en la adopción de procesos ITILAranda Software
Identifique las acciones típicas de los administradores IT , no recomendadas, al planear una adopción de algún proceso ITIL. Conozca, cómo las soluciones ITSM de Aranda SOFTWARE le facilitan la gestión IT y ayudan a minimizar efectos no deseados.
Especificaciones microcarpeta con pol°mero (micro surfacing)emerigal
Este documento proporciona especificaciones detalladas para la conservación de pavimentos mediante la aplicación de microcarpeta con polímero tipo III. Describe los materiales requeridos como agregados, emulsión asfáltica modificada con polímero y relleno mineral. También especifica los procedimientos de calibración de equipo, aplicación de prueba, tratamiento previo de grietas y baches, y los requisitos para la aplicación final como densidad y apariencia superficial. El objetivo es asegurar que el trabajo cumpla con los estánd
Job experiences include consultant work on new media communication strategies related to creativity and art since 2005. Researcher heading two university research projects since 2008 on new visual communication models for industrial and teaching applications. Director of a private institution devoted to studying the creative impacts of new media in culture and how to use technologies as creative tools in schools. Teacher of subjects related to ICT, new media studies, and visual design communication strategies since 2000. The key constants in her work are creativity, art, technology, new media languages, and semiotics.
Bharat Booking is a Leading Travel management company and is your one stop shop destination for the best budget holiday tours in India. From Manali to Macau or Gulmarg to London get the best deals here.
Este documento presenta varios remedios y consejos para dejar de roncar. Explica que el ronquido ocurre cuando los tejidos blandos en la parte posterior de la boca y la nariz vibran al respirar durante el sueño. Ofrece consejos como evitar dormir boca arriba, usar almohadas pequeñas y no consumir alcohol antes de dormir. También discute tratamientos como dilatadores nasales y dispositivos de presión positiva continua en la vía aérea para mejorar la respiración durante el sueño.
The HORTILED Multi is an LED grow light developed for multi-layer cultivation and other indoor growing applications. It delivers high efficiency of up to 2.5 μmol/Joule and is available in 120cm and 150cm lengths with an 80 or 150 degree radiation pattern. The light is continuously dimmable, has a wide range of customizable color spectra, and is easy to install.
El documento resume los resultados de una encuesta realizada a 2049 usuarios de Twitter sobre su relación con determinadas compañías. El 64% de los encuestados prefiere a las compañías que están presentes en plataformas sociales, mientras que el 24% indicó que la presencia en redes sociales no influye en su opinión y el 12% se mostró más reacio a las marcas que presumen de transparencia.
This document outlines an SEO strategy and tactics to increase site traffic, leads, search engine rankings, and client revenue. It defines SEO as using techniques to raise a website's organic search ranking by optimizing content, tags, coding, and linking. The strategy includes keyword research, content optimization, technical improvements, and reporting metrics. All tactics are integrated to create a reinforcing marketing ecosystem across channels.
Este documento presenta la misión, visión e historia de Harineras Villamayor S.A., una empresa familiar española dedicada a la producción de harinas, sémolas y otros derivados del trigo desde 1934. Su misión es satisfacer las necesidades de sus clientes considerando la sociedad, y su visión es ser líder en calidad, servicio, seguridad e innovación. La empresa está ubicada en el norte de España y cuenta con instalaciones modernas y tecnología de punta.
Rami Abu el fettoh Mahmoud is seeking a challenging position in accounting, finance, or costing to enhance his skills. He has 9 years of experience in accounting roles for telecom, construction, and trading companies. His experience includes accounts receivable, payable, financial reporting, analysis, and cost control. Currently he is the credit control manager for a telecom company with over 3,500 customers, managing credit terms and collections. He is proficient in Microsoft Office and seeks to use his accounting and financial experience to mutually benefit an employer.
The document contains engineering drawings and assembly instructions for a desktop sand casting unit called the Sand-A-Saurus Rex. It includes 11 individual part drawings labeled 101-209 with dimensions and material specifications. It also contains an assembly drawing labeled A2 showing how all the parts fit together, including exploded views for clarity. Key components are the unit shell, press assembly, sand box, linkage assembly and motor/extruder assembly. The document provides details necessary to manufacture and assemble the desktop sand casting machine.
O documento descreve um projeto de pesquisa sobre processadores multicores realizado por Israel José da Cunha para a Universidade do Vale do Sapucaí em 2010. O resumo apresenta a história e evolução dos processadores multicores das empresas Intel e AMD, com foco nos modelos Core Duo, Core 2 Duo e processadores com vários núcleos.
La importación y exportación son transacciones económicas entre un país y el extranjero. La balanza de pagos registra las importaciones, exportaciones y otras transacciones, resultando en un saldo positivo (superávit), equilibrado, o negativo (déficit).
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
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(Prefer mailing. Call in emergency )
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
or
Call us at : 08263069601
(Prefer mailing. Call in emergency )
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
or
call us at : 08263069601
The document discusses linear programming, which is a mathematical modeling technique used to allocate limited resources optimally. It provides examples of linear programming problems and their formulation. Key aspects covered include defining decision variables and constraints, developing the objective function, and interpreting feasible and optimal solutions. Graphical and algebraic solution methods like the simplex method are also introduced.
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
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The document provides information about operations research (OR) including:
(1) OR uses mathematical models and statistics to aid decision-making, typically to optimize performance of complex systems.
(2) The basic OR process involves recognizing a problem, formulating it, constructing a model, finding a solution, defining the process, implementing it, and refining it.
(3) Linear programming applications discussed include marketing, finance, operations management, and blending problems. Graphical and algebraic methods are used to solve transportation problems.
Memorias Webcast Reconozca los Errores típicos en la adopción de procesos ITILAranda Software
Identifique las acciones típicas de los administradores IT , no recomendadas, al planear una adopción de algún proceso ITIL. Conozca, cómo las soluciones ITSM de Aranda SOFTWARE le facilitan la gestión IT y ayudan a minimizar efectos no deseados.
Especificaciones microcarpeta con pol°mero (micro surfacing)emerigal
Este documento proporciona especificaciones detalladas para la conservación de pavimentos mediante la aplicación de microcarpeta con polímero tipo III. Describe los materiales requeridos como agregados, emulsión asfáltica modificada con polímero y relleno mineral. También especifica los procedimientos de calibración de equipo, aplicación de prueba, tratamiento previo de grietas y baches, y los requisitos para la aplicación final como densidad y apariencia superficial. El objetivo es asegurar que el trabajo cumpla con los estánd
Job experiences include consultant work on new media communication strategies related to creativity and art since 2005. Researcher heading two university research projects since 2008 on new visual communication models for industrial and teaching applications. Director of a private institution devoted to studying the creative impacts of new media in culture and how to use technologies as creative tools in schools. Teacher of subjects related to ICT, new media studies, and visual design communication strategies since 2000. The key constants in her work are creativity, art, technology, new media languages, and semiotics.
Bharat Booking is a Leading Travel management company and is your one stop shop destination for the best budget holiday tours in India. From Manali to Macau or Gulmarg to London get the best deals here.
Este documento presenta varios remedios y consejos para dejar de roncar. Explica que el ronquido ocurre cuando los tejidos blandos en la parte posterior de la boca y la nariz vibran al respirar durante el sueño. Ofrece consejos como evitar dormir boca arriba, usar almohadas pequeñas y no consumir alcohol antes de dormir. También discute tratamientos como dilatadores nasales y dispositivos de presión positiva continua en la vía aérea para mejorar la respiración durante el sueño.
The HORTILED Multi is an LED grow light developed for multi-layer cultivation and other indoor growing applications. It delivers high efficiency of up to 2.5 μmol/Joule and is available in 120cm and 150cm lengths with an 80 or 150 degree radiation pattern. The light is continuously dimmable, has a wide range of customizable color spectra, and is easy to install.
El documento resume los resultados de una encuesta realizada a 2049 usuarios de Twitter sobre su relación con determinadas compañías. El 64% de los encuestados prefiere a las compañías que están presentes en plataformas sociales, mientras que el 24% indicó que la presencia en redes sociales no influye en su opinión y el 12% se mostró más reacio a las marcas que presumen de transparencia.
This document outlines an SEO strategy and tactics to increase site traffic, leads, search engine rankings, and client revenue. It defines SEO as using techniques to raise a website's organic search ranking by optimizing content, tags, coding, and linking. The strategy includes keyword research, content optimization, technical improvements, and reporting metrics. All tactics are integrated to create a reinforcing marketing ecosystem across channels.
Este documento presenta la misión, visión e historia de Harineras Villamayor S.A., una empresa familiar española dedicada a la producción de harinas, sémolas y otros derivados del trigo desde 1934. Su misión es satisfacer las necesidades de sus clientes considerando la sociedad, y su visión es ser líder en calidad, servicio, seguridad e innovación. La empresa está ubicada en el norte de España y cuenta con instalaciones modernas y tecnología de punta.
Rami Abu el fettoh Mahmoud is seeking a challenging position in accounting, finance, or costing to enhance his skills. He has 9 years of experience in accounting roles for telecom, construction, and trading companies. His experience includes accounts receivable, payable, financial reporting, analysis, and cost control. Currently he is the credit control manager for a telecom company with over 3,500 customers, managing credit terms and collections. He is proficient in Microsoft Office and seeks to use his accounting and financial experience to mutually benefit an employer.
The document contains engineering drawings and assembly instructions for a desktop sand casting unit called the Sand-A-Saurus Rex. It includes 11 individual part drawings labeled 101-209 with dimensions and material specifications. It also contains an assembly drawing labeled A2 showing how all the parts fit together, including exploded views for clarity. Key components are the unit shell, press assembly, sand box, linkage assembly and motor/extruder assembly. The document provides details necessary to manufacture and assemble the desktop sand casting machine.
O documento descreve um projeto de pesquisa sobre processadores multicores realizado por Israel José da Cunha para a Universidade do Vale do Sapucaí em 2010. O resumo apresenta a história e evolução dos processadores multicores das empresas Intel e AMD, com foco nos modelos Core Duo, Core 2 Duo e processadores com vários núcleos.
La importación y exportación son transacciones económicas entre un país y el extranjero. La balanza de pagos registra las importaciones, exportaciones y otras transacciones, resultando en un saldo positivo (superávit), equilibrado, o negativo (déficit).
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
or
Call us at : 08263069601
(Prefer mailing. Call in emergency )
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
or
Call us at : 08263069601
(Prefer mailing. Call in emergency )
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
or
call us at : 08263069601
The document discusses linear programming, which is a mathematical modeling technique used to allocate limited resources optimally. It provides examples of linear programming problems and their formulation. Key aspects covered include defining decision variables and constraints, developing the objective function, and interpreting feasible and optimal solutions. Graphical and algebraic solution methods like the simplex method are also introduced.
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
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call us at : 08263069601
The document provides information about operations research (OR) including:
(1) OR uses mathematical models and statistics to aid decision-making, typically to optimize performance of complex systems.
(2) The basic OR process involves recognizing a problem, formulating it, constructing a model, finding a solution, defining the process, implementing it, and refining it.
(3) Linear programming applications discussed include marketing, finance, operations management, and blending problems. Graphical and algebraic methods are used to solve transportation problems.
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
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Call us at : 08263069601
(Prefer mailing. Call in emergency )
The document describes the greedy method and several problems that can be solved using greedy algorithms, including the knapsack problem. It provides the following key details:
- The greedy method works by selecting locally optimal choices at each step in the hope of finding a global optimal solution.
- It introduces the knapsack problem of filling a knapsack to maximum capacity without exceeding the weight limit while maximizing total profit of items.
- Various greedy strategies for solving the knapsack problem are presented, including choosing items in order of highest profit-to-weight ratio, which is proven to provide an optimal solution if the ratios are in non-increasing order.
Operations management chapter 03 homework assignment use thisPOLY33
This document contains homework assignments related to operations management, machine learning algorithms, and product life cycles. It includes questions about breaking even on a new product line, calculating process velocity and efficiency, analyzing the Perceptron algorithm and stochastic gradient descent, weak learners for concept classes, and AdaBoost iterations. The key details are calculating metrics like break even point, profit/loss, process velocity and efficiency based on given costs, sales, time estimates. It also involves explaining relationships between algorithms, finding weak learners to approximate complex concepts, and ensuring classifiers have 50% accuracy for AdaBoost iterations.
Introduction to Optimization revised.pptJahnaviGautam
The document provides an introduction to optimization problems. It defines optimization as involving an objective function to minimize or maximize, subject to constraints on variables. It categorizes problems as continuous or discrete and with or without objectives/constraints. Examples covered include shortest path problems, maximum flow problems, transportation problems, and task assignment problems. Algorithms for some problems are also mentioned.
This document provides information about getting fully solved assignments from an assignment help service. Students are instructed to send their semester and specialization name to the provided email address or call the given phone number to receive help with their assignments. Mailing is preferred over calling except in emergencies. The document then provides a sample assignment question related to operations research on the topics of linear programming, transportation problem, simulation, integer programming, PERT/CPM, and queuing systems.
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
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(Prefer mailing. Call in emergency )
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
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Call us at : 08263069601
(Prefer mailing. Call in emergency )
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
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Dear students get fully solved SMU MBA Fall 2014 assignments
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This document provides information about obtaining fully solved assignments for the MBA semester 2 Operations Research course. It includes 6 sample questions from the course along with evaluation criteria for each. Students can email their semester and specialization details to help.mbaassignments@gmail.com or call 08263069601 to receive solved assignments. The questions cover topics like the methodology of operations research, linear programming problem formulation, finding initial basic feasible solutions using different methods, queueing models, Monte Carlo simulation, and game theory concepts.
This document provides an overview of problem solving in artificial intelligence. It discusses problem solving as a systematic search to reach a goal or solution. It describes four general steps in problem solving: goal formulation, problem formulation, search, and execution. It also discusses state space representation and uses the vacuum world problem as an example. Constraint satisfaction problems are characterized as having variables, domains, and constraints. The water jug problem is presented as an example problem that can be solved using a production system approach.
This document provides information about getting fully solved assignments from an assignment help service. It lists an email address and phone number to contact for assistance with assignments. It also provides details about the available programs, subjects, semesters, credits, and other assignment details like word count requirements. Students are advised to mail their request with details of their semester and specialization to get solved assignments. Calling is listed as an emergency option.
This document provides information about getting solved assignments for the MBA Semester 2 Operations Research subject. It includes 6 questions related to operations research concepts like linear programming, transportation problems, assignment problems, and simulation. Students can get assignments solved at Rs. 125 each by emailing or calling the provided contact information. The questions cover topics like the framework of operations research, graphical and algebraic methods for linear programming problems, important terms in transportation problems, the Hungarian method for assignment problems, Monte Carlo simulation, assumptions of game theory, characteristics of Markov chains, and job prioritization rules.
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Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumMJDuyan
(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
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Communicating effectively and consistently with students can help them feel at ease during their learning experience and provide the instructor with a communication trail to track the course's progress. This workshop will take you through constructing an engaging course container to facilitate effective communication.
How to Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
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You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
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Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
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BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Mb0048 operations research (1)
1. Dear students get fully solved assignments
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ASSIGNMENT
Note: Answer all questions. Kindly note that answers for 10 marks questions should be
approximately of 400 words. Each question is followed by evaluation scheme.
Question1. 1 Explain the process of OR
Answer1. “Operations Research is “the use of mathematical models, statistics and
algorithms to aid in decision-making. It is most often used to analyze complex real-world
systems, typically with the goal of improving or optimizing performance. It is one form of
applied mathematics.”
(1) Recognize the Problem
(2) Formulate the Problem
(3) Construct a Model
(4) Find a Solution
(5) Define the Process
(6) Implement the Solution
DRIVE SUMMER 2016
PROGRAM MBA
SEMESTER II
SUBJECT CODE & NAME MB0048
OPERATIONS RESEARCH
BK ID B2068
CERDIT 4
MARKS 60
2. (7) Repeat and Refine
Essentially, the operations research process is your basic problem solving process, like the
introductory problem solving process you might encounter if you were studying (cognitive)
psychology, the art of mathematics,
Question2. a. Discuss any four applications of linear programming.
Answer2a. Four applications of linear programming are as follows:
1. Marketing applications:
Main application of linear programming in marketing is “media selection”.
Linear programming can be used to help marketing managers allocate a fixed
budget to various advertising media.
The main objective is to maximize frequency and quality of exposure.
Restrictions on the
b. An organisation produces X1 and X2 units of products R and S,
respectively. In this case, the objective function and constraints are
expressed as follows:
Maximise Z = 60X1 + 120X2
Subject to, 3X1 + 6X2 ≤ 240 Raw material constraint
2X1 + 4X2 ≤ 800 Labour hours constraint
X1, X2 ≥ 0 Non-negativity condition
Use graphical method to determine how many units of products R and S the
organisation should produce to maximise its profits.
Answer 2(b) - Here,
We have to maximise Z = 60X1 + 120X2
Subject to,
3. 3X1 + 6X2 ≤
Question3.a. Explain the concept of Trans-shipment.
Answer3(a). Transhipment is the act of off-loading a container from one ship and loading it onto
anothership. Inany service operatedbyanyline there are practical restrictionsintermsof coverage
of ports..There is no shipping line that can cover all ports around the world on a single service and
therefore the services are segregated into trade lanes.
Let’s say there is a liner service that connects Durban to Far East with Singapore, Hong Kong, and
Port Kelangbeingthe portsof call on the voyage fromSouthAfricato Far East. Let’scall thisvessel A.
Let’s say that there is a shipment from
b. Solve the following transportation problem using North-west corner
method & Matrix minimum method.
Answer3(b).
4. The transportation problem given is :
The north-west corner method generates an initial allocation according to the following
Procedure:
1. Allocate the
Question4. The processing time of four jobs and five machines (in hours,
when passing is not allowed) is given in following table
a. Find an optimal sequence for the above sequencing problem.
b. Calculate minimum elapsed time & idle time for machines A, B, C, D & E.
Answer4.
The Processing time for the
Question5. Define following criteria’s used for decision making under
Uncertainty
a. Optimism (maximax or minimin) criterion
Answer 5(a).
Maximax (Optimist)
The maximax looks at the best that could happen under each action and then chooses the action
with the largest value. They assume that they will get the most possible and then they take the
action with the best case scenario. The
b. Pessimism (maximin or minimax) criterion
5. Answer5(b).
Maximin (Pessimist)
The maximin person looks at the worst that could happen under each action and then choose the
actionwiththe largestpayoff.Theyassume that the worst that can happen will, and then they take
the action with the best worst
c. Equal probabilities (Laplace) criterion
Answer5(c).
Laplace criterionisalsocalledaslawof equal probabilities criterion or criterion of rationality, since
probabilityof statesof nature are not knownitisassumedthatall statesof nature will occurin equal
probability. I.e. assign an
d. Coefficient of optimism (Hurwicz) criterion
Answer5(d).
A compromise between the maximax and maximin criteria. The decision maker is neither totally
optimistic (as the maximax
e. Regret (salvage) criterion
Answer5(e).
The minimizationof regretthatishighestwhenone decisionhasbeenmade insteadof another. In a
situation in which a decision
Question6. Explain the following:
a. Economic Order Quantity(EOQ)
Answer6(a).
Economicorderquantity(EOQ) isan equationforinventorythatdeterminesthe ideal orderquantity
a companyshouldpurchase for its inventory given a set cost of production, demand rate and other
6. variables. This is done to minimize variable inventory costs, and the formula takes into account
storage, or holding, costs, ordering
b. PERT and CPM
Answer6(b).
PERT standsfor Program EvaluationReview Technique, a methodology developed by the U.S. Navy
in the 1950s to manage the Polaris submarine missile program. A similar methodology, the Critical
Path Method (CPM) was
c. Applications of queuing models
Answer6(c).
QueueingTheoryhasawide range of applications,andthissectionisdesignedtogive an illustration
of some of these. It has been divided into 3 main sections, Traffic Flow, Scheduling and Facility
DesignandEmployee Allocation. The givenexamples are certainly not the only applications where
queuing theory can be put to good
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