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Show your calculations. Dimensions on final answers
MGMT 36100
Test 1: Spring 2010
Question 2
Part A:
Times for the process shown to the right are in minutes.
i.
The
output rate for a stable schedule is 12 units per hour
. The
average
TPT is 11.5 minutes
.
Calculate WIP
using Little’s formula.
WIP = TPT * TPR
WIP = (11.5 / 60) * 12 = 2.3 [units]
ii.
If we shut down machine M2 and
send jobs only through M1 every 5 minutes
, what
will be the output
rate and WIP?
Input rate: 12 units per hour. Even with M2 shut down, the bottleneck is at stage 2.
So the process is stable.
Therefore
Output rate: 12 units per hour
.
TPT = 5+4 = 9 minutes and WIP = (9/60) * 12 = 1.8 [units]
Part B:
Consider a shop that schedules jobs 6 days per week. Each job
stays in the process for 3 days. The first seven rows of the table give you
number of jobs entering for week, leaving and number in the system.
The
arrival pattern is repeated every week.
i.
Complete entries for week 2.
ii.
Calculate average WIP for week 2.
WIP = (60 + 65+…+110+65)/7 = 645/7 = 92.1 jobs
iii.
Assuming stable process in week 2, verify Little’s formula.
FR = (30 + 35+…+30+0)/7 = 215/7 = 30.7 jobs/ day.
FT = 3 days.
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This note was uploaded on 12/14/2010 for the course MGMT 361 taught by Professor Panwalker during the Spring '10 term at Purdue University.
 Spring '10
 panwalker
 Management

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