CHAPTER 8 Linear Programming Applications Teaching Suggestions Teaching Suggestion 8.1: Importance of Formulating Large LP Problems. Since computers are used to solve virtually all business LP problems‚ the most important thing a student can do is to get experience in formulating a wide variety of problems. This chapter provides such a variety. Teaching Suggestion 8.2: Note on Production Scheduling Problems. The Greenberg Motor example in this chapter is largest large
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Linear Programming Concept Paper There are two types of linear programming: 1. Linear Programming- involves no more than 2 variables‚ linear programming problems can be structured to minimize costs as well as maximize profits. Due to the increasing complexity of business organizations‚ the role of the management executive as a decision maker is becoming more and more difficult. Linear programming is a useful technique to solve such problems. The necessary condition is that the data must be
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Z07_TAYL4367_10_SE_ModB.QXD B-22 Module B 1/9/09 8:19 AM Page B-22 Transportation and Assignment Solution Methods Solution of the Assignment Model An assignment model is a special form of the transportation model in which all supply and demand values equal one. Table B-34 The Travel Distances to Each Game for Each Team of Officials An opportunity cost table is developed by first substracting the minimum value in each row from all other row values and then repeating
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Primal-Dual Approximation Algorithms We just saw how the primal-dual schema permits sometimes designing efficient combinatorial algorithms for solving certain problems. We will now see an example of how a related technique can sometimes be used to design efficient approximation algorithms The major tool that we will use will be the RELAXED Complementary Slackness conditions The problem we examine will again be weighted set-cover. 1 Recall that given canonical primal n minimize
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Production & Operations Management–Homework 1 for Section 4 Due Tuesday October 16‚ 2012 1.1 Eastman publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation‚ textbook design‚ and production setup is estimated to be $80‚000. Variable production and material costs are estimated to be $3 per book. Demand over the life of the book is estimated to be 4‚000 copies. The publisher plans to sell the text to college
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nt MULTIMEDIA UNIVERSITY GROUP ASSIGNMENT BDS4614 / BDS2074 – MANAGEMENT DECISION SCIENCE INSTRUCTIONS TO STUDENT 1. This Assignment is a Group Assignment of not more than 2 students and consists of 5 pages with 5 Questions only. 2. Answer all the questions. All questions carry equal marks and the distribution of the marks for each question is given. 3. The hard copy of the answer booklet must be printed and must be submitted to your respective
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1 DEFINITION OF LINEAR PROGRAMMING (LP) Linear programming (LP) is a mathematical technique used in finding the best possible allocation of resources to achieve the best outcome‚ which is maximising profit or minimising cost. However‚ it is only applicable where there is a linear relationship between the variables. For example‚ the linear relationships between hours of labour and output in a textiles factory means an increase or decrease in labour force has a direct impact on production‚ which
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TUTORIAL 2 Linear Programming - Minimisation Special cases Simplex maximisation 1. Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client’s needs. For a new client‚ Innis has been authorised to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs
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EM 505 - Decision Models‚ Fall 2012 Homework 3 - December 10-11‚ 2012 1. The diagram below depicts a system of aqueducts that originate at three rivers (nodes R1‚ R2 and R3) and terminate at a major city (node T) where the other nodes are junction points in the system. Using units of thousands of acre feet‚ the tables below show the maximum amount of water that can be pumped through each aqueduct per day and the following diagram shows the network of the system. From/To A R1 75 R2 40 R3 B 65 50
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REVISED M09_REND6289_10_IM_C09.QXD 5/12/08 12:01 PM Page 115 9 C H A P T E R Linear Programming: The Simplex Method TEACHING SUGGESTIONS Teaching Suggestion 9.1: Meaning of Slack Variables. Slack variables have an important physical interpretation and represent a valuable commodity‚ such as unused labor‚ machine time‚ money‚ space‚ and so forth. Teaching Suggestion 9.2: Initial Solutions to LP Problems. Explain that all initial solutions begin with X1 ϭ 0‚ X2 ϭ 0 (that
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