This document provides an overview of sensitivity analysis in linear programming, which determines how changes to coefficients or right-hand sides of constraints impact the optimal solution. It discusses standard output from solving linear programs using software, including objective value ranges, variable values and reduced costs, and constraint slack and shadow prices. An example problem is presented to illustrate sensitivity analysis for a company optimizing frame production under material constraints.
The document analyzes Crescent Services' fleet management options. It compares Donlen Corporation and Enterprise Fleet Management on services like leasing, maintenance management, fuel management, telematics, and regulatory compliance. Charts show Donlen and Enterprise's offerings and pricing. The document recommends switching lease providers from the previous one to Donlen based on lower interest/admin rates outweighing a higher depreciation rate, saving $43,059 in the first year.
Você sabe um pouco de SQL e gostaria de começar a explorar as possibilidades em BigData? Você vai se surpreender no quão fácil é de analisar terabytes de dados utilizando o Apache Hive. O Hive é um framework que traduz consultas SQL em Jobs Map-Reduce executados em um cluster de máquinas distribuídas rodando o Apache Hadoop.
The document contains 6 certificates from the European Resuscitation Council certifying that Ahmed Alamin Karar ALI successfully completed various resuscitation courses between December 2011 and December 2012. The certificates confirm his qualifications as an ALS Instructor, Generic Instructor, BLS/AED Instructor, ALS Provider, and BLS/AED Provider. Each certificate is valid for 5 years and it is the responsibility of the holder to maintain their skills.
Connie Siskowski founded the Caregiving Youth Project after becoming the primary caregiver for her grandfather as a child. She witnessed the difficulties faced by other children in similar situations. Despite initial resistance, she started support groups and resources for young caregivers. Her organization has since expanded and received recognition, though still requires more funding to meet all needs. Siskowski's persistence and caring nature have helped bring attention to hidden child caregivers.
The document analyzes Crescent Services' fleet management options. It compares Donlen Corporation and Enterprise Fleet Management on services like leasing, maintenance management, fuel management, telematics, and regulatory compliance. Charts show Donlen and Enterprise's offerings and pricing. The document recommends switching lease providers from the previous one to Donlen based on lower interest/admin rates outweighing a higher depreciation rate, saving $43,059 in the first year.
Você sabe um pouco de SQL e gostaria de começar a explorar as possibilidades em BigData? Você vai se surpreender no quão fácil é de analisar terabytes de dados utilizando o Apache Hive. O Hive é um framework que traduz consultas SQL em Jobs Map-Reduce executados em um cluster de máquinas distribuídas rodando o Apache Hadoop.
The document contains 6 certificates from the European Resuscitation Council certifying that Ahmed Alamin Karar ALI successfully completed various resuscitation courses between December 2011 and December 2012. The certificates confirm his qualifications as an ALS Instructor, Generic Instructor, BLS/AED Instructor, ALS Provider, and BLS/AED Provider. Each certificate is valid for 5 years and it is the responsibility of the holder to maintain their skills.
Connie Siskowski founded the Caregiving Youth Project after becoming the primary caregiver for her grandfather as a child. She witnessed the difficulties faced by other children in similar situations. Despite initial resistance, she started support groups and resources for young caregivers. Her organization has since expanded and received recognition, though still requires more funding to meet all needs. Siskowski's persistence and caring nature have helped bring attention to hidden child caregivers.
This document contains the text of Article 1, Section 2 of the United States Constitution. It outlines how representatives are apportioned among the states based on population and establishes qualifications for representatives, including a minimum age of 25 years and 7 years of citizenship. It also describes how vacancies in representation are filled and the powers of the House of Representatives.
Nivolumab, a programmed death 1 (PD-1) checkpoint inhibitor, was associated with encouraging overall survival in uncontrolled studies involving previously treated patients with advanced renal-cell carcinoma. This randomized, open-label, phase 3 study compared nivolumab with everolimus in patients with renal-cell carcinoma who had received previous treatment.
Food irradiation uses radiation to kill bacteria, insects, and extend the shelf life of foods. It has advantages like pathogen reduction, increased shelf life, and insect disinfestation. While it is environmentally friendly and the low radiation levels used pose little health risks, some vitamins may be slightly impacted and public perception of irradiated foods remains negative. However, food irradiation has the potential to decrease food-borne illness regardless of costs or side effects.
This document discusses inventory management. It defines different types of inventory like raw materials, work in progress, and finished goods. It describes the costs and disadvantages of holding inventory. It also explains different inventory models like economic order quantity and periodic review systems that are used to determine optimal order quantities and times. Key metrics like weeks of supply and inventory turns are also introduced.
The document discusses post-optimal analysis in linear optimization problems. It describes how changes can affect feasibility or optimality, including changes to right-hand sides, adding new constraints, or changing objective coefficients. It also discusses adding a new activity/variable and using the dual simplex method to find the new optimal solution.
This document outlines a talk on the use of 1 in mathematical programming and summarizes several topics to be covered, including degeneracy and the simplex method, nonlinear optimization, equality constraints, inequality constraints, and data envelopment analysis. It provides details on linear programming and the simplex method, including preliminary results, basic feasible solutions, the single iteration process, and the lexicographic rule for selecting leaving variables. The document contains mathematical notation and definitions to explain these concepts.
This chapter discusses computer solutions and sensitivity analysis for linear programming problems. It covers using software packages like Excel and QM for Windows to solve problems instead of manual methods. Examples are provided to demonstrate solving a problem in Excel and QM as well as conducting sensitivity analysis on objective function coefficients and right-hand side constraint values. Sensitivity analysis determines how changes to parameters impact the optimal solution.
This webinar will provide pesticides residue analysts with valuable information on the development and optimization of gas chromatographic separations and mass spectrometry methods for the analysis of pesticide residues in food. The expert speakers will share their knowledge in understanding the critical points of the method, assisting analysts in modifying existing methods, and understanding instrumental and software technologies with the goal of improving laboratory productivity and reducing the overall cost per sample. The results of experiments for both screening and quantification workflows, using the latest technology, will be presented.
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.
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.
This document provides an overview of techniques for formalized sensitivity analysis and expected value decisions. It discusses determining sensitivity to parameter variation, using three estimates to analyze sensitivity, calculating expected values of cash flows and alternatives, and using decision trees to model staged evaluations under uncertainty. The techniques aim to account for variability in parameters, quantify uncertainty through probabilities, and identify best decisions considering risk.
-What is Sensitivity Analysis in Project Risk Management?
-Example on Sensitivity Analysis….
-Types of Sensitivity Analysis……
-Advantages & Disadvantages
Sensitivity analysis determines how sensitive the optimal solution is to changes made to the original linear programming model after obtaining the optimal solution. It is important because it allows analysts to check how changes to the data in the model, such as the coefficients, constraints, or variables, would affect the optimal solution and gives the model dynamic characteristics to handle potential future changes.
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.
The document discusses sensitivity analysis, which quantifies how changes in design parameters or analysis errors affect predicted performance. As an example, it analyzes how changes in lift coefficient (C Lmax ) and weight (W) would affect the predicted take-off distance (S LO ) of an aircraft. Using both linear and nonlinear sensitivity analysis, it finds:
1) A ±0.1 change in C Lmax would result in a ±0.1S LO change in take-off distance according to linear analysis. Nonlinear analysis estimates changes of ±353 feet, in close agreement.
2) A 10% increase in weight would lead to a 0.1S LO or 636 feet increase in take
The document discusses sensitivity analysis in linear programming. Sensitivity analysis determines how changes to the objective function coefficients or right-hand side constraint values affect the optimal solution. It examines the ranges of values for which the current solution remains optimal. Dual prices indicate the increase in the objective function from a one-unit increase in a constraint's right-hand side. The example calculates the ranges of optimality for the objective function coefficients and determines the dual prices for the constraints.
This document provides an overview of how to model and solve linear programming (LP) problems using spreadsheets. It discusses the steps to implement an LP model in a spreadsheet, including organizing the data, reserving cells for decision variables, and creating formulas for the objective function and constraints. The document then provides examples of modeling various LP problems, such as production planning, transportation, and blending, in spreadsheets. Guidelines for effective spreadsheet design to ensure communication, reliability, auditability and modifiability are also presented.
This chapter discusses sensitivity analysis in linear programming, which examines how changes to the objective function coefficients or right-hand side values affect the optimal solution. It introduces the concepts of ranges of optimality and feasibility, which define the ranges of coefficient or right-hand side values where the optimal solution remains the same. The chapter also discusses shadow prices, which measure the impact of changing a right-hand side value, and provides an example to illustrate these concepts.
Javier Garcia - Verdugo Sanchez - Six Sigma Training - W3 Complex Designs J. García - Verdugo
The document discusses evaluating experiments with multiple responses that may conflict. It provides examples of using a response optimizer and overlaid contour plots in Minitab to determine optimal factor settings that maximize desired results. The response optimizer calculates optimal settings by maximizing a desirability function. Overlaid contour plots show the factor space where all responses meet limits, allowing selection of preferred regions. An example optimizes a rubber mix for tires using these tools.
This document contains the text of Article 1, Section 2 of the United States Constitution. It outlines how representatives are apportioned among the states based on population and establishes qualifications for representatives, including a minimum age of 25 years and 7 years of citizenship. It also describes how vacancies in representation are filled and the powers of the House of Representatives.
Nivolumab, a programmed death 1 (PD-1) checkpoint inhibitor, was associated with encouraging overall survival in uncontrolled studies involving previously treated patients with advanced renal-cell carcinoma. This randomized, open-label, phase 3 study compared nivolumab with everolimus in patients with renal-cell carcinoma who had received previous treatment.
Food irradiation uses radiation to kill bacteria, insects, and extend the shelf life of foods. It has advantages like pathogen reduction, increased shelf life, and insect disinfestation. While it is environmentally friendly and the low radiation levels used pose little health risks, some vitamins may be slightly impacted and public perception of irradiated foods remains negative. However, food irradiation has the potential to decrease food-borne illness regardless of costs or side effects.
This document discusses inventory management. It defines different types of inventory like raw materials, work in progress, and finished goods. It describes the costs and disadvantages of holding inventory. It also explains different inventory models like economic order quantity and periodic review systems that are used to determine optimal order quantities and times. Key metrics like weeks of supply and inventory turns are also introduced.
The document discusses post-optimal analysis in linear optimization problems. It describes how changes can affect feasibility or optimality, including changes to right-hand sides, adding new constraints, or changing objective coefficients. It also discusses adding a new activity/variable and using the dual simplex method to find the new optimal solution.
This document outlines a talk on the use of 1 in mathematical programming and summarizes several topics to be covered, including degeneracy and the simplex method, nonlinear optimization, equality constraints, inequality constraints, and data envelopment analysis. It provides details on linear programming and the simplex method, including preliminary results, basic feasible solutions, the single iteration process, and the lexicographic rule for selecting leaving variables. The document contains mathematical notation and definitions to explain these concepts.
This chapter discusses computer solutions and sensitivity analysis for linear programming problems. It covers using software packages like Excel and QM for Windows to solve problems instead of manual methods. Examples are provided to demonstrate solving a problem in Excel and QM as well as conducting sensitivity analysis on objective function coefficients and right-hand side constraint values. Sensitivity analysis determines how changes to parameters impact the optimal solution.
This webinar will provide pesticides residue analysts with valuable information on the development and optimization of gas chromatographic separations and mass spectrometry methods for the analysis of pesticide residues in food. The expert speakers will share their knowledge in understanding the critical points of the method, assisting analysts in modifying existing methods, and understanding instrumental and software technologies with the goal of improving laboratory productivity and reducing the overall cost per sample. The results of experiments for both screening and quantification workflows, using the latest technology, will be presented.
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.
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.
This document provides an overview of techniques for formalized sensitivity analysis and expected value decisions. It discusses determining sensitivity to parameter variation, using three estimates to analyze sensitivity, calculating expected values of cash flows and alternatives, and using decision trees to model staged evaluations under uncertainty. The techniques aim to account for variability in parameters, quantify uncertainty through probabilities, and identify best decisions considering risk.
-What is Sensitivity Analysis in Project Risk Management?
-Example on Sensitivity Analysis….
-Types of Sensitivity Analysis……
-Advantages & Disadvantages
Sensitivity analysis determines how sensitive the optimal solution is to changes made to the original linear programming model after obtaining the optimal solution. It is important because it allows analysts to check how changes to the data in the model, such as the coefficients, constraints, or variables, would affect the optimal solution and gives the model dynamic characteristics to handle potential future changes.
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.
The document discusses sensitivity analysis, which quantifies how changes in design parameters or analysis errors affect predicted performance. As an example, it analyzes how changes in lift coefficient (C Lmax ) and weight (W) would affect the predicted take-off distance (S LO ) of an aircraft. Using both linear and nonlinear sensitivity analysis, it finds:
1) A ±0.1 change in C Lmax would result in a ±0.1S LO change in take-off distance according to linear analysis. Nonlinear analysis estimates changes of ±353 feet, in close agreement.
2) A 10% increase in weight would lead to a 0.1S LO or 636 feet increase in take
The document discusses sensitivity analysis in linear programming. Sensitivity analysis determines how changes to the objective function coefficients or right-hand side constraint values affect the optimal solution. It examines the ranges of values for which the current solution remains optimal. Dual prices indicate the increase in the objective function from a one-unit increase in a constraint's right-hand side. The example calculates the ranges of optimality for the objective function coefficients and determines the dual prices for the constraints.
This document provides an overview of how to model and solve linear programming (LP) problems using spreadsheets. It discusses the steps to implement an LP model in a spreadsheet, including organizing the data, reserving cells for decision variables, and creating formulas for the objective function and constraints. The document then provides examples of modeling various LP problems, such as production planning, transportation, and blending, in spreadsheets. Guidelines for effective spreadsheet design to ensure communication, reliability, auditability and modifiability are also presented.
This chapter discusses sensitivity analysis in linear programming, which examines how changes to the objective function coefficients or right-hand side values affect the optimal solution. It introduces the concepts of ranges of optimality and feasibility, which define the ranges of coefficient or right-hand side values where the optimal solution remains the same. The chapter also discusses shadow prices, which measure the impact of changing a right-hand side value, and provides an example to illustrate these concepts.
Javier Garcia - Verdugo Sanchez - Six Sigma Training - W3 Complex Designs J. García - Verdugo
The document discusses evaluating experiments with multiple responses that may conflict. It provides examples of using a response optimizer and overlaid contour plots in Minitab to determine optimal factor settings that maximize desired results. The response optimizer calculates optimal settings by maximizing a desirability function. Overlaid contour plots show the factor space where all responses meet limits, allowing selection of preferred regions. An example optimizes a rubber mix for tires using these tools.
This document summarizes key points from a lecture on mechanical design alignment methods:
- Common alignment methods discussed include elastic averaging, compliant kinematic couplings, quasi-kinematic, active kinematic, and passive kinematic couplings. Accuracy and repeatability are important factors.
- Passive kinematic couplings provide fixed alignment through contact forces and preloading. Modeling considers contact forces, stresses, stiffness variations, friction, and thermal effects.
- Ball-based couplings can be modeled as equivalent radii and moduli to determine displacements and contact stiffness scaling laws. Proper preloading improves repeatability.
- Lubrication significantly improves radial repeatability of kinematic couplings compared to unlubricated couplings
This document provides an overview of key concepts in decision analysis, including problem formulation, decision making without and with probabilities, risk analysis, sensitivity analysis, and computing branch probabilities. It discusses techniques like influence diagrams, payoff tables, decision trees, and the expected value, conservative, optimistic, and minimax regret approaches. It also covers risk profiles, sensitivity analysis, Bayes' theorem, and the expected value of perfect and sample information.
This document provides an overview of key concepts for designing goods and services. It discusses steps in the design process like understanding customer needs and defining technical requirements. Methods for designing goods like prototyping and quality engineering are described. The concept of robust design and Taguchi's loss function are explained for making products insensitive to variation. Service delivery system design elements like facility location, servicescape, and technology are outlined. The document also covers reliability calculations for series and parallel systems and quality function deployment using a house of quality.
Mba i qt unit-1.3_linear programming in omRai University
Linear programming is a technique used by operations managers to allocate scarce resources. It involves defining objectives, constraints, and decision variables to determine the optimal solution. Some common applications in operations management include determining optimal product mix, production levels, ingredient mix, transportation routes, and staff assignments. The steps to formulate a linear programming problem are to define the objective, decision variables, mathematical objective function, constraints, and write the linear program in final form. The optimal solution can be found graphically by plotting the constraints and objective function on a graph to identify the feasible region and optimal point.
Here are some key points to consider when sizing a PV system to offset a certain percentage of annual electricity usage:
- Annual electricity usage is obtained from the customer's utility bills
- The target % offset is determined based on the customer's goals
- Operational effectiveness accounts for losses from things like panel degradation and inverter efficiency
- The sized system will produce enough energy to offset the target % of annual usage, on average over the year
- Larger systems provide greater offset but come at a higher upfront cost
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So in summary, the % offset goal drives the initial system sizing calculation.
According to a report by Windpower Engineering & Development, the cost to repair main bearings is one of the highest compared to other turbine systems ranging from $150,000 to $300,000. As fielded turbines age, the aggregated downtime has increased to more than 20,000 hours.
The presentation features:
- New capabilities in the DigitalClone Live software that predict early wear initiation in the main bearing raceways and rollers.
- How to understand the current health of the main bearing in a particular asset to mitigate damage prior to failure.
- How to reduce the cost of repair, currently ranging from $150K - $300K for each occurrence, and reduce the amount of downtime.
View the Webinar Recording at:
http://sentientscience.com/resource-library/videos/understanding-main-bearing-failures-mitigating-a-150k-300k-om-cost-2/
The document is a presentation about bicycle design and mechanics over multiple slides. It includes diagrams labeling bicycle parts, brief histories of bicycle evolution, diagrams illustrating forces on bicycles and pedaling mechanics, charts showing human power output, and discussions of factors that influence bicycle speed such as air resistance, rolling resistance, hills, and rider weight. It also touches on bicycle frame materials and construction methods.
The document discusses KEMET's SMD film capacitor technology, including its manufacturing facility in Italy, various dielectric materials used, encapsulation and metallization types, key series like F161 and LDE, applications in automotive and telecommunications, and comparisons to MLCC capacitors. It provides an overview of KEMET's broad SMD film capacitor portfolio and positions these components as reliable alternatives for applications requiring high performance and stability.
Development of Economical Analysis and Technical Solutions for Efficient Dist...Leonardo ENERGY
The document discusses developing economical and technical solutions for efficient distribution transformers. It presents an analysis of various transformer designs to minimize losses and total costs. The analysis considers design parameters like current density, insulation thickness, and magnetic induction. Design surfaces and cost surfaces are constructed to visualize the design possibilities. An optimal design is selected that maximizes cost reduction over 10 years while meeting standards and considering factors like payback period, manufacturing restrictions, and energy costs. A case study finds a potential savings of $220.90/year from a 100kVA transformer design.
The document discusses linear programming problems and how to formulate them. It provides definitions of key terms like linear, programming, objective function, decision variables, and constraints. It then explains the steps to formulate a linear programming problem, including defining the objective, decision variables, mathematical objective function, and constraints. Several examples of formulated linear programming problems are provided to maximize profit or minimize costs subject to various constraints.
Innovations in Enhanced Flooded Lead-Acid BatteriesPete Smith
The document discusses innovations in enhanced flooded lead-acid batteries for start-stop vehicles. It describes how a new separator design from Daramic with a lower electrical resistance can improve power output by reducing voltage drop during restart. Computational fluid dynamics modeling shows how a serrated rib separator design and negative plate enveloping can improve acid mixing in the battery by 23% through passive mixing during vehicle motion. This helps prevent acid stratification and allows for improved cycling. Additional carbon in the negative active material also improves charge acceptance, and the modified separator reduces water loss to allow for higher carbon concentrations. The innovations close many of the technical gaps between enhanced flooded and AGM batteries.
The document describes Acme Group, a textile company, and their ComfortSpan suspension fabric product line which provides an ergonomic and economical alternative to foam in furniture applications. The fabric uses a DuPont Hytrel yarn and is durable, flexible, lightweight, and reduces the need for foam in seats while providing comfort and meeting industry standards. The document highlights the engineering characteristics, benefits, applications, certifications and testing data of ComfortSpan suspension fabrics.
Acme Mills\' line of suspension seating marks a technological revolution in comfort, durability and designability. Our goal is to reduce or eliminate the use of foam in seating applications
ComfortSpan products redefine the seating materials industry, improving comfort, durability and designability. Its incredible weight-savings characteristics make it a new standard across many industries.
The document summarizes the design of a gearbox to lift an 8kg weight. It discusses the roles and constraints of the gearbox design. The team will use spur gears made of acrylic sheets due to material constraints. They will consider gear ratios, torque calculations, lubrication options and comparisons to other gear train designs to optimize performance within the constraints. The goal is to achieve the lifting capabilities of other designs through an elegant design that balances internal calculations and external aesthetics.