Ch 6 Darby Project C Solution & Instructions

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

Info icon This preview shows pages 1–2. Sign up to view the full content.

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.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Image of page 2
This is the end of the preview. Sign up to access the rest of the document.
  • Summer '16
  • 5th millennium, The LP, LP album, El Paso, case problems

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern