Assignment #4: Case Problem “Stateline Shipping and Transport Company” Courtney Boone June 10‚ 2012 MATH 540 Quantitative Methods Professor Gelonia Dent Rachel has estimated the cost of shipping a barrel of waste from each of the six plants to each of the three waste disposal sites as shown in the following table: Waste Disposal Site | | | | Plant | Whitewater | Los Canos | Duras | Kingsport | $12 | $15 | $17 | Danville | 14 | 9 | 10 | Macon | 13 | 20 | 11 | Selma | 17
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1. Formulation of the Problem The Stateline Shipping and Transport Company wanted to transport industrial wastes from the 6 plants to the 3 waste disposable sites. The problem can be represented in as a Transportation table as shown below. Our problem is to find roots to disposable sites‚ such that the cost of transportation is minimized.. White water Los Canos Duras Availability (bbl) Kingsport $12.00 $15.00 $17.00 35 Danville $14.00 $9.00 $10.00 26 Macon $13.00 $20.00 $11.00 42 Selma
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Introduction The Stateline Shipping and Transport Company is negotiating a shipping contract with Polychem. Polychem would like Stateline to pick up and transport their waste products from their six plants to three waste disposal sites. There is a possibility that using the plants and waste disposal sites as intermediate shipping points could lower the overall shipping costs. A Stateline manager is trying to determine the shipping routes that will minimize Stateline’s total cost and if it would
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Assignment #4 Case Problem: Stateline Shipping and Transport Company MAT540: Quantitative Methods Vargha Azad 09/08/13 In Excel‚ or other suitable program‚ develop a model for shipping the waste directly from the 6 plants to the 3 waste disposal sites. Solve the model you developed in #1 (above) and clearly describe the results. In Excel‚ or other suitable program. Develop a transshipment model in which each of the plants and disposal sites
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Assignment #4: Case Problem “Stateline Shipping and Transport Company” 1) This transportation model problem consists of 18 decision variables‚ representing the number of barrels of wastes product transported from each of the 6 plants to each of the 3 waste disposal sites: [pic]= Number of Barrels transported per week from plant ‘i’ to the j-th waste disposal site‚ where i = 1‚ 2‚ 3‚ 4‚ 5‚ 6 and j = A‚ B‚ C. The objective function is to minimize the total transportation cost for all shipments
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Week 10 – Assignment # 4 06/16/13 Stateline Shipping & Transport Company Question #1 – Transportation Model Plant Waste Disposal | A. White Water | B. Los Canos | C. Duras | Supply | 1. Kingsport | 12 | 15 | 17 | 35 | 2. Danville | 14 | 9 | 10 | 26 | 3. Macon | 13 | 20 | 11 | 42 | 4. Selma | 17 | 16 | 19 | 53 | 5. Columbus | 7 | 14 | 12 | 29 | 6. Allentown | 22 | 16 | 18 | 38 | Demand | 65 | 80 | 105 | | Xij = Shipping from plant to
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Lecture Notes 1 MSC IN OPERATIONAL RESEARCH LECTURE 8 TRANSSHIPMENT MODEL In generalized transshipment model‚ items are supplied from different sources to different destination. It is sometimes economical if the shipment passes through some transient nodes in between sources and destinations. Unlike in transportation problem‚ where shipments are sent directly to a particular source to a particular destination‚ in transshipment problem‚ the objective is to minimize the total cost of shipments
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TQuantitative Methods – MAT 540 Student Course Guide Prerequisite: MAT 300 Quarter Meeting Days/Time Instructor Instructor Phone Instructor E-mail Instructor Office Hours/Location Academic Office Phone Number Strayer Technical Support INSTRUCTIONAL MATERIAL – Required ( including all mandatory software) 1-877-642-2999 Taylor‚ B. M. (2010). Introduction to management science (10th ed.). Upper Saddle River‚ NJ: Pearson/Prentice Hall. QM for Windows and Treeplan add-on for Excel. This software
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Introduction to Management Science‚ 10e (Taylor) Chapter 6 Transportation‚ Transshipment‚ and Assignment Problems 1) In a transportation problem‚ items are allocated from sources to destinations at a minimum cost. Answer: TRUE Diff: 1 Page Ref: 227 Main Heading: The Transportation Model Key words: transportation problem 2) In a transportation problem‚ items are allocated from sources to destinations at a maximum value. Answer: FALSE Diff: 1 Page Ref: 227 Main Heading: The Transportation
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