Job 1 2 3 4 5 6 FCFS Rule Flow Time (hours) verage flow time (FCFS rule): hours

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 21P
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Consider a workstation that has one maintenance mechanic to repair failed machines. We can think of the mechanic as the processor (scarce
resource) and the machines awaiting repair as the jobs. Let us assume that six machines are down, with estimated repair times given here, and
that no new machines fail.
1 2 3
Job (fix
machine #)
Processing time 10
(hours)
Job
1
2
3
4
5
6
2
Compute the flow time for each job using both the FCFS rule and the SPT rule, and compare the average flow times. Round your answers for
average values to the nearest whole number.
FCFS Rule
9
Flow Time (hours)
Average flow time (FCFS rule):
4
5 6
1 8 6
hours
Transcribed Image Text:Consider a workstation that has one maintenance mechanic to repair failed machines. We can think of the mechanic as the processor (scarce resource) and the machines awaiting repair as the jobs. Let us assume that six machines are down, with estimated repair times given here, and that no new machines fail. 1 2 3 Job (fix machine #) Processing time 10 (hours) Job 1 2 3 4 5 6 2 Compute the flow time for each job using both the FCFS rule and the SPT rule, and compare the average flow times. Round your answers for average values to the nearest whole number. FCFS Rule 9 Flow Time (hours) Average flow time (FCFS rule): 4 5 6 1 8 6 hours
SPT rule
Sequence Flow Time (hours)
-Select-
-Select- ✓
-Select-
-Select-
-Select- ✓
-Select- ✔
Average flow time (SPT rule):
The -Select- ✓minimizes flow time and gets the most work done in the least amount of time.
hours
Transcribed Image Text:SPT rule Sequence Flow Time (hours) -Select- -Select- ✓ -Select- -Select- -Select- ✓ -Select- ✔ Average flow time (SPT rule): The -Select- ✓minimizes flow time and gets the most work done in the least amount of time. hours
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