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PreLab6 - express the objective functions and constraints...

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ENGRI 1101 Engineering Applications of OR Fall 2008 Prelab 6 The Transportation Problem Name: Objectives: Introduce students to the transportation problem. Introduction to AMPL. Give an application of the transportation problem to the “caterer’s problem”. Key Ideas: supply point and supply constraint demand point and demand constraint balanced transportation problem bipartite graph integrality properties sensitivity analysis Reading Assignment: Read the first part of Handout 7 on the transportation problem (first 4 pages) Brief description: In this lab, we will 1. Learn how to formulate a somewhat unexpected problem as a transportation problem 2. Begin learning how to use a sophisticated computer tool — AMPL — to represent and solve mathe- matical programming problems on a PC. Read and understand the problem, and think about how you would model it as a mathematical program- ming problem (i.e., what is a feasible solution of the problem? What is the objective function? How can you
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Unformatted text preview: express the objective functions and constraints every feasible solution must satisfy mathematically?). You do not need to submit anything but bring your work with you to the lab. This will be useful for you. The Caterer’s Problem (±rom Winston, page 390) The Carter Caterer Company must have the following number of clean napkins available at the beginning of each of the next four days: day 1, 15; day 2, 12; day 3, 18; day 4, 6. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. ±ast service costs 10 cents per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs 6 cents per napkin, and these napkins can be reused two days after they are last used. New napkins can be purchased for a cost of 20 cents per napkin. The catering company currently has no napkins, whatsoever. We wish to meet the demand for the next four days as cheaply as possible. 1...
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