Hw5_Key_Questions_1_2_3(1) (version 1)

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

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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 = taskin@ufl.edu In general, if an assignment problem contains n jobs to assign to n machines, there are n! feasible assignments. Step 5 - sub uncovered elements.
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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
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Hw5_Key_Questions_1_2_3(1) (version 1) - Solution Key for...

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