sol7 - X X = ⇒ 5000 1000 4000 5000 1000 X 5000 X X = ⇒...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
AMS 341 Spring, 2011 Homework Set # 7 — Solution Notes Section 7.1, 1. Customer 1 Customer 2 Customer 3 Warehouse 1 15 35 25 40 Warehouse 2 10 50 40 30 unmet demand 90 80 110 20 30 30 30 #6, 7.1: Let y stand for the cost per check in different sites. We obtain the following cost and requirement table for the balanced transportation problem: Vendor Salary Personnel DUMMY Site 1 5 4 2 0 10000 Site 2 3 4 5 0 6000 5000 5000 5000 1000 #3. Let ( - ,y ) =(-,cost). The balanced formulation: Vendor Salary Personnel Dummy Site 1 (-,5) (-,4) (-,2) (-,0) 10000 Site 2 (-,3) (-,4) (-,5) (-,0) 6000 5000 5000 5000 1000 (a) Northwest cornor method: 5000 5000 6000 X 5000 5000 1000 = 5000 5000 0 6000 X X 5000 1000 = 5000 5000 0 X 6000 X X 5000 1000 = 5000 5000 0 X 5000 1000 X X X 1000 = 5000 5000 0 X 5000 1000 X X X X X (b) Min-cost method: 1000 9000 6000 5000 5000 5000 X = 5000 1000 4000 6000
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: X X = ⇒ 5000 1000 4000 5000 1000 X 5000 X X = ⇒ 4000 5000 1000 X 5000 1000 X 1000 X X = ⇒ 4000 5000 1000 X 5000 1000 X X X X X (c) Vogel’s method: 5000 5000 2 6000 3 5000 5000 X 1000 2 3 = ⇒ 5000 1000 4000 4 6000 3 5000 5000 X X 2-= ⇒ 5000 1000 4000 1 5000 1000 1 X 5000 X X 2--= ⇒ 4000 5000 1000 X 4 5000 1000 4 X 1000 X X---= ⇒ 4000 5000 1000 X-5000 1000 X 4 X X X X-4--#4. Transportation simplex method: (-,5) (4000,4) (5000,2) (1000,0) (5000,3) (1000,4) (-,5) (-,0) ( u 1 , u 2 , v 1 , v 2 , v 3 , v 4 , c 11 , c 23 , c 24 ) = (0 , , 3 , 4 , 2 , ,-2 ,-3 , 0), it is optimal....
View Full Document

{[ 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