A shop has one milling machine, one grinding machine, and one vertical drill. Four jobs must be processed in the operations sequence given in the table below (from top down), with processing times given to the right of the machine name. For example, for job 1, first one hour on the drill is required, then two hours on the lathe, etc. The four machines are available starting tomorrow morning and there is no WIP in the shop. Also, the due hour of each job is 2 days later end of the shift. Setup times are included in the processing times. Determine the schedule that meets the due hours. Sequence 1 2 Job 1 Drill Grind till 2 1 Job 2 Mill Grind 1 1 Job 3 Grind Mill 1 2 Job 4 Drill Grind 2 1

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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A shop has one milling machine, one grinding machine, and one vertical drill. Four jobs must be
processed in the operations sequence given in the table below (from top down), with processing
times given to the right of the machine name. For example, for job 1, first one hour on the drill is
required, then two hours on the lathe, etc. The four machines are available starting tomorrow
morning and there is no WIP in the shop. Also, the due hour of each job is 2 days later end of the shift.
Setup times are included in the processing times. Determine the schedule that meets the due hours.
Job 1
Drill
Sequence
Job 2
Mill
Grind
Job 3
Job 4
Grind
1.
Drill
2
Grind
Mill
Mill
Drill
1.
2.
Grind
1.
1.
Drill
Total (hours)
4
4.
3
2.
3.
Transcribed Image Text:A shop has one milling machine, one grinding machine, and one vertical drill. Four jobs must be processed in the operations sequence given in the table below (from top down), with processing times given to the right of the machine name. For example, for job 1, first one hour on the drill is required, then two hours on the lathe, etc. The four machines are available starting tomorrow morning and there is no WIP in the shop. Also, the due hour of each job is 2 days later end of the shift. Setup times are included in the processing times. Determine the schedule that meets the due hours. Job 1 Drill Sequence Job 2 Mill Grind Job 3 Job 4 Grind 1. Drill 2 Grind Mill Mill Drill 1. 2. Grind 1. 1. Drill Total (hours) 4 4. 3 2. 3.
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