The following jobs are waiting to be processed at Rick? Solano's machine center.? Solano's machine center has a relatively long backlog and sets a fresh schedule every 2? weeks, which does not disturb earlier schedules. Below are the jobs to be scheduled? today, which is day 241 ?(day 241 is a work? day). Job names refer to names of clients and contract numbers. Compute all times based on initiating work on day 241.
(Job) (Date Job Received) (Due Date Duration (days))
BR-02 225 270 25
CX-01 230 320 35
DE-06 235 360 40
RG-05 231 310 30
SY-11 228 300 15
Using the LPT? (longest processing? time) decision rule for sequencing the? jobs, the order is? (to resolve a? tie, use the order in which the jobs were? received):
The average tardiness? (job lateness) for the sequence developed using the LPT rule? =
The percentage utilization for the sequence developed using the LPT rule? =
The average completion time for the sequence developed using the LPT rule? =
The average number of jobs in the system for the sequence developed using the LPT rule? =
Critical Ratio? (CR) for each job is given by the? relationship:= (Due Date-Date Today) / (Processing Time). what is CR for jobs a-e
.
Using the Critical Ratio? (CR) scheduling rule for sequencing the? jobs, the order? is:
.
Scheduling as per LPT rule -
Job | Date received |
Process time |
Due date | Order | Flow time | End time | Lateness |
DE-06 | 235 | 40 | 360 | 1 | 40 | 280 | 0 |
CX-01 | 230 | 35 | 320 | 2 | 75 | 315 | 0 |
RG-05 | 231 | 30 | 310 | 3 | 105 | 345 | 35 |
BR-02 | 225 | 25 | 270 | 4 | 130 | 370 | 100 |
SY-11 | 228 | 15 | 300 | 5 | 145 | 385 | 85 |
TOTAL | 145 | 495 | 1695 | 220 | |||
AVERAGE | 99 | 339 | 44 |
Average tardiness = 44
Utilization = 145/495 = 29.29%
Average completion time = 339
Average jobs in the system = 495/145 = 3.41
Scheduling as per the Critical Ratio -
Job | Date received |
Process time |
Due date | Critical ratio | Order |
BR-02 | 225 | 25 | 270 | 1.16 | 1 |
CX-01 | 230 | 35 | 320 | 2.26 | 2 |
RG-05 | 231 | 30 | 310 | 2.30 | 3 |
DE-06 | 235 | 40 | 360 | 2.98 | 4 |
SY-11 | 228 | 15 | 300 | 3.93 | 5 |
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