JMMJ Shop needs to assign 4 jobs to 4 workers. The cost of performing a job is a function of the skills of the workers. The table below shows the cost of the assignments. Worker 1 cannot do job 3 and worker 3 cannot do job 4. Requirements: a) Discuss what needs to be done to address the restriction that worker 1 cannot do job 3 and worker 3 cannot do job 4. b) Determine the optimal assignment using the Hungarian method. Worker 1 2 3 4 1 $50 $70 $90 $70 2 $50 $40 $30 $20 Job 3 $20 $50 $60 4 $20 $30 — $70

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Author:Erwin Kreyszig
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4) JMMJ Shop needs to assign 4 jobs to 4 workers. The cost of performing a job is a
function of the skills of the workers. The table below shows the cost of the
assignments. Worker 1 cannot do job 3 and worker 3 cannot do job 4.
Requirements:
a) Discuss what needs to be done to address the restriction that worker 1
cannot do job 3 and worker 3 cannot do job 4.
b) Determine the optimal assignment using the Hungarian method.
Worker
2
3
4
2
$50 $50
$70
$90
$70
$40
$30
$20
Job
3
$20
$50
$60
4
$20
$30
$70
Transcribed Image Text:4) JMMJ Shop needs to assign 4 jobs to 4 workers. The cost of performing a job is a function of the skills of the workers. The table below shows the cost of the assignments. Worker 1 cannot do job 3 and worker 3 cannot do job 4. Requirements: a) Discuss what needs to be done to address the restriction that worker 1 cannot do job 3 and worker 3 cannot do job 4. b) Determine the optimal assignment using the Hungarian method. Worker 2 3 4 2 $50 $50 $70 $90 $70 $40 $30 $20 Job 3 $20 $50 $60 4 $20 $30 $70
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