STATISTICS
Ch 6 Darby Project C Solution & Instructions

Ch 6 Darby Project C Solution & Instructions -...

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Solutions to Case Problems Chapter 6 - Transportation, Assignment and Transshipment Problems Pages 309-311, (12e)  Introduction to Management Science or pages 372-374 (11e) Case Problem: Distribution Systems Design Three related linear programming models were developed and solved to answer the questions in this case.   1. Develop the network model and a linear programming formulation of the network model as shown on the following page; this network model and the corresponding linear program are called the  Part 2 Network Model  and the  Part 2 Linear Program , respectively. 2. Create variations of the Part 2 Linear Program to answer the questions in parts 1 and 3.  For  instance, to answer the question concerning the existing system in part 1, add constraints to the  Part 2 Linear Program which set the flow equal to 0 over the distribution center-customer arcs that Darby does not currently use.   3. For Part 3, add three plant-to-customer arcs to the Part 2 Network Model and corresponding linear  program:  El Paso - San Antonio, San Bernardino - Los Angeles, and San Bernardino - San Diego. Management Scientist should be used to perform the calculations for overall cost using Linear  Programming as shown on pages 273-279. The  2. Transportation   module is not suited, even if you break it  into two steps, because it will not give you the numbers for the transshipment nodes. Two suggestions will save you some time. 1. Add the production cost of the meter to the cost of first shipment - $10.50 per unit from El Paso  and $10.00 from San Bernadino.  2. Label decision variables with 4 letters to describe the amount of flow over each arc.  The first two  letters in each variable name identify the “from” node and the second two letters identify the “to”  nodes.  For instance, EPFW represents the amount shipped from El Paso to Ft. Worth and LVDE  represents the amount shipped from Las Vegas to Denver. This makes it easier to troubleshoot. 3. Study the network model to be sure you recognize its qualities. For example, some connecting  links are missing because they are not used. This also limits the number of constraints. If you add  links you will need to add a constraints, and in some instances you may need to modify existing  constraints. 4. Write out the linear object function and constraints as shown on pages 275-278. For each  transshipment node, the total inputs from its origins are equal to the total outputs to its destination  nodes.
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  • Summer '16
  • 5th millennium, The LP, LP album, El Paso, case problems

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