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1. a. Earliest Due Date: Job Sequence Machine Center XA Number of days taken for

ID: 372926 • Letter: 1

Question

1.

a.

Earliest Due Date:

Job Sequence

Machine Center XA

Number of days taken for moving a job

Machine Center YA

Day when Due

Remark

Start Day

Days Taken

Finish Day

Start Day

Days Taken

Finish Day

A

0

35/8 = 4.375

4.375

2

6.375

36/8 = 4.5

10.875

10

Not completed on time.

C

4.375

144/8 = 18

22.375

2

24.375

30/8 = 3.75

28.125

25

Not completed on time.

B

22.375

97/8 = 12.125

34.5

2

36.5

22/8 = 2.75

39.25

54

Completed on time.

b.

Job

Total Processing Time Remaining (in days)

Day when Due

Critical Ratio = (Remaining Time until Due Date/ Remaining Processing Time)

Priority Rank (Lower the Critical Ratio, higher the rank.)

A

71 / 8 = 8.875

10

10 / 8.875 = 1.13

1

B

119 / 8 = 14.875

54

54 / 14.875 = 3.63

3

C

174 / 8 = 21.75

25

25 / 21.75 = 1.15

2

Critical Ratio:

Job Sequence

Machine Center XA

Number of days taken for moving a job

Machine Center YA

Day when Due

Remark

Start Day

Days Taken

Finish Day

Start Day

Days Taken

Finish Day

A

0

35/8 = 4.375

4.375

2

6.375

36/8 = 4.5

10.875

10

Not completed on time.

C

4.375

144/8 = 18

22.375

2

24.375

30/8 = 3.75

28.125

25

Not completed on time.

B

22.375

97/8 = 12.125

34.5

2

36.5

22/8 = 2.75

39.25

54

Completed on time.

c.

Shortest Processing Time:

Job Sequence

Machine Center XA

Number of days taken for moving a job

Machine Center YA

Day when Due

Remark

Start Day

Days Taken

Finish Day

Start Day

Days Taken

Finish Day

A

0

35/8 = 4.375

4.375

2

6.375

36/8 = 4.5

10.875

10

Not completed on time.

B

4.375

97/8 = 12.125

16.5

2

18.5

22/8 = 2.75

21.25

54

Completed on time.

C

16.5

144/8 = 18

34.5

2

36.5

30/8 = 3.75

40.25

25

Not completed on time.

Job Sequence

Machine Center XA

Number of days taken for moving a job

Machine Center YA

Day when Due

Remark

Start Day

Days Taken

Finish Day

Start Day

Days Taken

Finish Day

A

0

35/8 = 4.375

4.375

2

6.375

36/8 = 4.5

10.875

10

Not completed on time.

C

4.375

144/8 = 18

22.375

2

24.375

30/8 = 3.75

28.125

25

Not completed on time.

B

22.375

97/8 = 12.125

34.5

2

36.5

22/8 = 2.75

39.25

54

Completed on time.

Explanation / Answer

Jobs A, B, and C are waiting to be started on machine center XA and then be completed on machine center YA. The following information pertains to the jobs and work

Jobs A, B, and C are waiting to be started on machine center XA and then be completed on machine center YA. The following information pertains to the jobs and work centers. XE36 1. Job Hours allowed for Hours allowed forDay Machine Center XA Machine Center YA When due 35 97 10 1.5X 25 30 Machine center XA and machine center YA have 40 hours of capacity per week (5 working days per week, eight hours/day). Two days are allowed to move jobs between machine centers. hesrhedued by carliest d date,can they be completed on time b. If these jobs are rescheduled by the critical ratio, can they be completed on time? c. If these jobs are rescheduled by shortest operation (shortest processing time), can they be completed on time?
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