Three jobs are to be assigned to three machines. Cost for each job-machine combination appears in the table below. Perform the assignment method to determine the job assignment.
Machine A | Machine B | Machine C | |
Job 1 | 11 | 8 | 6 |
Job 2 | 8 | 10 | 11 |
Job 3 | 9 | 12 | 7 |
Select one:
a. Machine A gets Job 1, Machine B gets Job 3 and Machine C gets Job 2.
b. Machine A gets Job 2, Machine B gets Job 3 and Machine C gets Job 1
c. Machine A gets Job 3, Machine B gets Job 2 and Machine C gets Job 1
d. Machine A gets Job 2, Machine B gets Job 1 and Machine C gets Job 3
e. Machine A gets Job 1, Machine B gets Job 2 and Machine C gets Job 3.
The correct answer is:
d. Machine A gets Job 2, Machine B gets Job 1 and Machine C gets Job 3
It can be solved by calculation the total cost for each option and then selecting the one with the minimum cost.
The minimum cost is obtained in case of option D. Minimum cost=8+8+7= 23
Three jobs are to be assigned to three machines. Cost for each job-machine combination appears in...
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The input to the ThreeMachineMakespan is a set of n jobs each
with a processing time . A feasible solution assigns
each job to one of three machines. The sum of the processing times
of the jobs assigned to a machine is the time that machine is
required to run. The makespan is the maximum time any of the three
machines must run.
Define a local search algorithm for ThreeMachineMakespan and run
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