Question
In: Operations Management
The Hickory Company manufactures wooden desks. Management schedules overtime every weekend to reduce the backlog on...
The Hickory Company manufactures wooden desks. Management schedules overtime every weekend to reduce the backlog on the most popular models. The automatic routing machine is used to cut certain types of edges on the desktops. The following orders need to be scheduled for the routing machine:
| order | time arrived hours | estimated machine hours | due date hours |
| 1 | 1 | 9 | 20 |
| 2 | 0 | 7 | 21 |
| 3 | 6 | 8 | 12 |
| 4 | 5 | 3 | 8 |
| 5 | 3 | 12 | 18 |
The due dates reflect the need for the order to be at its next operation. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average past due hours.
A. Using the FCFS (first come, first served ) decision rule for sequencing the orders, the order is
| Sequence | 1 | 2 | 3 | 4 | 5 |
| order | 3 | 4 | 5 | 1 | 2 |
B Using the EDD (earliest due date) decision rule for sequencing the orders, the order is (to resolve a tie, use order in which the orders were received):
| Sequence | 1 | 2 | 3 | 4 | 5 |
| Order | 4 | 3 | 5 | 1 | 2 |
C. The average flow time and average past due hours for each option are (enter your responses are real numbers rounded to two decimal
places):
| Rule | Average Flow Time | Average Past Due Hours |
| EDD | ||
| FCFS |
Solutions
Expert Solution
(A) Using the FCFS (First come first serve) rule, the optimal sequence is 3-4-5-1-2
(B) Using the EDD (Earliest Due Date) rule, the optimal sequence is 4-3-5-1-2.
(C) Given that most famous model requires overtime. So model 5 will require ovetime of 12 hours
STEP 1: EVALUATION FOR FCFS RULE::
| Job | Process time | Flow time | Due Date | Lateness |
| 3 | 8 | 0+8 = 8 | 12 | -- |
| 4 | 3 | 8+3 = 11 | 8 | 3 |
| 5 | 12 | 11+12 = 23 | 18 | 5 |
| 1 | 9 | 23+9 = 32 | 20 | 12 |
| 2 | 7 | 32+7 = 39 | 21 | 18 |
Total flow time = (8+11+23+32+39)+12
Total flow time = 125
Numner of jobs = 5
Average flow time = 125/5 = 25 hours
Average past due hours = Total lateness/ Number of jobs
Average past due hours = (3+5+12+18)/5
Average past due hours = 7.6
(B) EVALUATION FOR EDD RULE::
| Job | Process time | Flow time | Due Date | Lateness |
| 4 | 3 | 0+3 = 3 | 8 | -- |
| 3 | 8 | 3+8 = 11 | 12 | -- |
| 5 | 12 | 11+12 = 23 | 18 | 5 |
| 1 | 9 | 23+9 = 32 | 20 | 12 |
| 2 | 7 | 32+7 = 39 | 21 | 18 |
Total flow time = (3+11+23+32+39)+12
Total flow time = 120
Numner of jobs = 5
Average flow time = 120/5 = 24 hours
Average past due hours = Total lateness/ Number of jobs
Average past due hours = (5+12+18)/5
Average past due hours = 7
keosha answered 7 months agoRelated Solutions
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