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Scheduling

Nội dung chính
    Which priority rule is used when jobs are processed according to the lowest ratio of due date to remaining processing time?What are the priority rules for job sequencing?Which rule establishes priorities on the basis of the due date for the jobs?What is the SPT priority rule?
    n jobs 1 machine case
      Priority rules Comparative measures
    Flow shop case


Scheduling -- determine the timing and order of operations to optimize the use of resources to meet production requirements

n jobs 1 machine case

Priority rules (pg.590)

First Come First Serve (FCFS)
Shortest Processing Time (SPT)
Earliest Due Date (EDD)
Slack Time Remaining (STR) = time remaining before due date - remaining processing time
    The shortest STR goes first
Critical Ratio (CR) = Time remaining before due date/Remaining processing time
    The smallest CR goes first
 

Comparison of priority rules

Average Completion time/Mean flow time =(Total processing time + total waiting time)/Number of jobs
Average lateness = total late days/number of jobs
 

Example

Given:
 

Job

Processing time (days)

Due Date (days hence)

Slack time remaining

Critical Ratio

A 20 30 10 1.5 B 30 50 20 1.7 C 10 25 15 2.5 D 16 80 64 5.0 E 18 60 42 3.3
 

FCFS

Proc. Time

Flow Time

Due Date

Lateness

A

20

20

30

0

B

30

50

50

0

C

10

60

25

35

D

16

76

80

0

E

18

94

60

34

Total

94

300

245

69

Mean

60

13.8

SPT

Proc.

Flow

Time to

Lateness

Seq.

Time

Time

Due

C

10

10

25

0

D

16

26

80

0

E

18

44

60

0

A

20

64

30

34

B

30

94

50

44

Total

94

238

245

78

Mean

47.6

15.6

SLACK

Proc.

Flow

Time to

Lateness

Seq.

Time

Time

Due

A

20

20

30

0

C

10

30

25

5

B

30

60

50

10

E

18

78

60

18

D

16

94

80

14

Total

94

282

245

47

Mean

56.4

9.4

CR

Proc.

Flow

Time to

Lateness

Seq.

Time

Time

Due

A

20

20

30

0

B

30

50

50

0

C

10

60

25

35

E

18

78

60

18

D

16

94

80

14

Total

94

302

245

67

Mean

60.4

13.4

EDD

Proc.

Flow

Time to

Lateness

Seq.

Time

Time

Due

C

10

10

25

0

A

20

30

30

0

B

30

60

50

10

E

18

78

60

18

D

16

94

80

14

Total

94

272

245

42

Mean

54.4

8.4

Comparing the priority rules

Rule

Mean Flow Time

Mean Lateness

FCFS

60

13.8

SPT

**47.6

15.6

STR

56.4

9.4

CR

60.4

13.4

EDD

54.4

**8.4

Exercises

Pg. 607 Problem 5, 13

Flow shop scheduling

n jobs two machines: all jobs require the same sequence/order in visiting the machines

Johnson's rule

If the shortest time is for the first machine, do the job first
If the shortest time is for the second machine, do the job last
 

Job

Processing Time, M1

Processing Time, M2

A

5

2

B

3

6

C

8

4

D

10

7

E

7

12

Job sequence: B à E à D à C à A

Gantt Chart representation

Exercises

Pg. 606 Problem 3, 9, 12, 14

Which priority rule is used when jobs are processed according to the lowest ratio of due date to remaining processing time?

SPT (shortest processing time). The job with the shortest processing time is processed first. This rule reduces work-in-process inventory, average job completion (flow) time, and average job lateness. EDD (earliest due date).

What are the priority rules for job sequencing?

studies, the following four sequencing rules are included: (1) Shortest processing time rule (2) Slack per operation rule (3) First-in, first-out rule (4) Due date rule.

Which rule establishes priorities on the basis of the due date for the jobs?

Earliest Due Date Sometimes called due date assignment, it places the highest priority on processing jobs with the earliest due dates.

What is the SPT priority rule?

Under the SPT condition, short jobs on station three and independently competing short jobs on station two were given priority stations one and two. In the bottleneck priority condition, the longest jobs destined for station three took priority stations one and two over all other jobs. Tải thêm tài liệu liên quan đến nội dung bài viết What priority rule is being used when jobs are processed according to the lowest ratio of due date to remaining process time?

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