Hw5_Key_Questions_1_2_3(1) (version 1)

# Hw5_Key_Questions_1_2_3(1) (version 1) - Solution Key for...

This preview shows pages 1–4. Sign up to view the full content.

Solution Key for OEM DMOR Homework 5 Questions 1 – 3 Zeki Caner TASKIN Q1a The first job can be assigned to any of the four machines, which leaves three machines for the second job, two machines for the third job and a single machine for the last job. The total number of assignments is 4 * 3 * 2 * 1 = 4! = 24. Q1b Given data Step 4 – we Machine 1 Machine 2 Machine 3 Machine 4 through Ma Job 1 3 1 2 7 Job 2 7 12 13 9 Job 1 Job 3 8 7 6 4 Job 2 Job 4 1 5 8 5 Job 3 Job 4 Step 1 - subtract smallest cost from each column Machine 1 Machine 2 Machine 3 Machine 4 Job 1 2 0 0 3 Job 2 6 11 11 5 Job 1 Job 3 7 6 4 0 Job 2 Job 4 0 4 6 1 Job 3 Job 4 Step 2 - subtract smallest cost from each row Machine 1 Machine 2 Machine 3 Machine 4 Step 6 - no Job 1 2 0 0 3 Job 2 1 6 6 0 Job 1 Job 3 7 6 4 0 Job 2 Job 4 0 4 6 1 Job 3 Job 4 Step 3 – we cannot find a feasible assignment with 0 cost. Total cost = [email protected] In general, if an assignment problem contains n jobs to assign to n machines, there are n! feasible assignments. Step 5 - sub uncovered elements.

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

View Full Document
achine 1, Machine 4 and Job 1 Machine 1 Machine 2 Machine 3 Machine 4 2 0 0 3 1 6 6 0 7 6 4 0 0 4 6 1 Machine 1 Machine 2 Machine 3 Machine 4 6 0 0 7 1 2 2 0 7 2 0 0 0 0 2 1 ow we can find a feasible assignment! Machine 1 Machine 2 Machine 3 Machine 4

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/25/2010 for the course ESI 6314 taught by Professor Vladimirlboginski during the Fall '09 term at University of Florida.

### Page1 / 17

Hw5_Key_Questions_1_2_3(1) (version 1) - Solution Key for...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online