Practical Operations Management
Practical Operations Management
2nd Edition
ISBN: 9781939297136
Author: Simpson
Publisher: HERCHER PUBLISHING,INCORPORATED
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Chapter 14, Problem 30P

(a)

Summary Introduction

Interpretation:

The best sequence in terms of the average flow time: EDD ,critical ratio, or SPT

Concept Introduction:

Schedule the job on the basis of the EDD . Then determine the average flow time for the each job. Calculate the average tardiness that is required to finish the each job. Similarly do the same for the schedule of SPT . Then, the lowest shortest processing time can be observed.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given information:

The table below contains the information about five jobs waiting to be processed at stamping machine 307 in the Metal Bright Job Shop.

    JobProcessing Time
    (hrs)
    Due (hrs)
    A34
    B59
    C13
    D26
    E41

Schedule the jobs based on the earliest due date EDD ,

    Hours123456789101112131415
    JobECADB

Thus, calculate the average flow time that is required to finish the each job:

  4hours+5hours+8hours+10hours+15hours5=8.40hours

Now, calculating the average tardiness, it is given that job E has the tardiness of

  4hours1hour=3hour

The job C has the tardiness of

  5hours3hours=2hours

The job A has the tardiness of

  8hours4hours=4hours

The job D has the tardiness of

  10hours6hours=4hours

The job B has the tardiness of

  15hours9hours=6hours

Adding the delay time of the order and divide it by the number of the orders;

  AT=3+2+4+4+65AT=3.80hours

From the table, it is observed that job C takes the 5 hours for the completion.

Calculate the critical ratio by dividing the hours until due by the processing time for the each job.

    JobProcessing Time
    (hrs)
    Due (hrs)Critical ratio
    A341.33
    B591.80
    C133.00
    D263.00
    E410.25

Now, schedule the based on the ascending order of the critical ratios.

    Hours123456789101112131415
    JobEABDC

Calculate the average flow time by adding the delay time of the order and divide it by the number of the orders;

  4hours+7hours+12hours+14hours+15hours5=10.40hours

Calculate the tardiness for the each job,

that job E has the tardiness of

  4hours1hour=3hour

The job C has the tardiness of

  15hours3hours=12hours

The job A has the tardiness of

  7hours4hours=3hours

The job D has the tardiness of

  14hours6hours=8hours

The job B has the tardiness of

  12hours9hours=3hours

Adding the tardiness of the order and divide it by the number of the orders;

  AT=3+3+3+8+125AT=5.80hours

From the table, it is observed that the job C has a flow time of 15 hours.

Schedule the jobs based on the SPT ,

    Hours123456789101112131415
    JobCDAEB

Thus, calculate the average flow time that is required to finish the each job:

  1hour+3hours+6hours+10hours+15hours5=7hours

Now, calculating the average tardiness, it is given that job C has no tardiness and the job D has no tardiness.

The job A has a tardiness of,

  6hours4hours=2hours

The job E has the tardiness of

  10hours1hour=9hours

The job B has the tardiness of

  15hours9hours=6hours

Now, calculate the average tardiness,

  AT=0+0+2+9+65AT=3.40hours

Thus, the job C gets completed in 1 hour.

From the above calculation, the average flow time based on methods:

  EDD method is 8.40 hours. And the critical ratio method is 10.40 hours and the SPT method takes 7 hours.

Therefore, shortest processing time gives the lowest average flow time.

(b)

Summary Introduction

Interpretation:

The best sequence in terms of the average tardiness: EDD ,critical ratio, or SPT .

Concept Introduction:

Schedule the job on the basis of the EDD . Then determine the average flow time for the each job. Calculate the average tardiness that is required to finish the each job.

Schedule the job on the basis of the SPT . Then determine the average flow time for the each job. Calculate the average flow time that is required to finish the each job. Then calculate the average tardiness by adding the delay time of the order. Then, shortest processing time gives the lowest average tardiness.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given information:

The table below contains the information about five jobs waiting to be processed at stamping machine 307 in the Metal Bright Job Shop.

    JobProcessing Time
    (hrs)
    Due (hrs)
    A34
    B59
    C13
    D26
    E41

From the above calculation, the average tardiness based on the different methods,

  EDD method is 3.80 hours. And the critical ratio method is 5.80 hours and the SPT method takes 3.40 hours.

Therefore, shortest processing time gives the lowest average tardiness.

(c)

Summary Introduction

Interpretation:

The finish time of job C .

Concept Introduction:

Schedule the job on the basis of the EDD . Then determine the average flow time for the each job. Calculate the average tardiness that is required to finish the each job.

Schedule the job on the basis of the SPT . Then determine the average flow time for the each job. Calculate the average flow time that is required to finish the each job. Then calculate the average tardiness by adding the delay time of the order. Then, the job C finished time is observed.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given information:

The table below contains the information about five jobs waiting to be processed at stamping machine 307 in the Metal Bright Job Shop.

    JobProcessing Time
    (hrs)
    Due (hrs)
    A34
    B59
    C13
    D26
    E41

From the above calculations, the completion of the job C is based on different methods,

  EDD method is 5 hours. And the critical ratio method is 15 hours and the SPT method takes 1 hour.

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