Problem 16-18 The Budd Gear Co. specializes in heat-treating gears for automobil
ID: 348031 • Letter: P
Question
Problem 16-18 The Budd Gear Co. specializes in heat-treating gears for automobile companies. At 8:00 a.m, when Budd's shop opened today, five orders (isted in order of arrival) were waiting to be processed Per Unit Time in Order Size Heat Treatment Due Date der (units) (minutes/unit) (min. from now) 6 10 8 160 200 180 190 220 12 10 a. If the due date rule is used, what sequence should be used? The sequence is Kortoseed) b. What will be the average job tardiness? (Round your answer to 2 decimal places.) Average job tardiness c. What will be the average number of jobs in the system? (Round your answer to 2 decimal places.) Average number ofjobs d. Would the Shortest nearest whole number.) processing time rule produce better results in terms of average job tardiness? (Round your answer to the [Cick to selectly new average job tardiness is[ minutes.Explanation / Answer
The Budd Gear Co. specializes in heat- treating gears for automobile companies. At 8: 00 a. m., when Budd’s shop opened today, five orders (listed in order of arrival) were waiting to be processed.
Order Order size( Units) Per Unit time in Due Date (Min. from now)
Heat Treatment (Min/Unit)
A 16 4 160
B 6 12 200
C 10 3 180
D 8 10 190
E 4 1 220
The given data can be re-written as below:
Order Order size( Units) Process time (min) Total Time (min) Due Minutes from now
A 16 4 64 160
B 6 12 72 200
C 10 3 30 180
D 8 10 80 190
E 4 1 4 220
(a) If the due date rule is used, what sequence should be used?
The rule is Place smallest due date first and longest due date at last, hense the sequence will be:
A-C-D-B-E
(b) What will be the average job tardiness? (Round your answer to 2 decimal places.)
Order Process time Total Time Flow time Due Date Tardiness
(min) (min)
A 4 64 64 160 0
B 12 72 136 200 0
C 3 30 166 180 0
D 10 80 246 190 56
E 1 4 250 220 30
Tardiness= Total Tardiness/ No of order
= 86/ 5
= 17.20
(c) What will be the average number of jobs in the system? (Round your answer to 2 decimal places.)
Average number of jobs= Total Flow time/ Makespan (Total Time for job)
= (64+136+166+246+250)/ (64+72+30+80+4)
= 862/ 250
= 3.45
(d) Would the Shortest processing time rule produce better results in terms of average job tardiness?(Round your answer to the nearest whole number.)
Table using the Shortest processing time rule
Order Process time Total Time Flow time Due Date Tardiness
(min) (min)
E 1 4 4 220 0
C 3 30 34 180 0
A 4 64 98 160 0
D 10 80 178 190 0
B 12 72 250 200 50
Tardiness= Total Tardiness/ No of order
= 50/ 5
= 10.00
Yes, The new job tardiness is 10 minutes