h7-questions.docx

Scheduling

Part 1 . Question 1. How many of the statements are true?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 4

Statement 1. The Johnson’s rule is a sequencing rule for an ‘nx1’ system.

Statement 2. The total flow time is minimized in an ‘nx2’ system when the schedule is based on the MPT rule.

Statement 3. The flow time for a job is equal to the processing time minus the queue time.

Statement 4. The start date for a job is equal to the due date minus the processing time.

Part 2 . Questions 2-3

Five jobs arrived to be processed.

Present Date=

180

 

 

 

 

Work Order

A

B

C

D

E

Processing Time (Days)

20

8

25

4

15

Due Date

211

200

224

210

205

Question 2. The FIFO schedule is “ABCDE” and the LIFO schedule is “EDCBA”.

Consider the schedules based on the sequencing rules: Minimum Processing Time (MPT); Earliest Due Date (EDD); Minimum Slack Time (MST); and Minimum Critical Ratio (MCR). How many of the schedules are correct?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 4

The schedule based on the MPT sequencing rule is E,A,B,C,D

The schedule based on the EDD sequencing rule is B,E,D,A,C

The schedule based on the MST sequencing rule is D,B,E,A,C

The schedule based on the MCR sequencing rule is A,E,C,B,D

Question 3. What is the flow of the MPT schedule?

(A) 162 (B) 230 (C) 72 (D) 233 (E) none of the above

Part 3 . Questions 4-5

The jobs A,B,C,D,E, arrived in that order to be processed on two machines.

Job

A

B

C

D

E

Time on Machine 1

35

41

49

28

53

Time on Machine 2

32

56

36

48

55

Question 4. Which is the Johnson’s Rule schedule?

(A) ‘CEBAD’ (B) ‘DBECA’ (C) ‘DCABE’ (D) ‘DABEC’

Question 5. How many of the statements are correct?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 4

Statement 1. In the FIFO schedule, the total time of completion is 271.

Statement 2. In the FIFO schedule, the flow time of job D is 216.

Statement 3. In the FIFO schedule, the total queue time of job C is 76.

Statement 4. In the FIFO schedule, the total idle time of machine 2 is 35.

Part 4. Questions 6-7

An organization that continuously processes proposals is addressing a large backlog due to an historical FIFO sequencing rule. You have been asked to determine a schedule that minimizes the processing time of project proposals through the editing department and revision department. The editing department identifies changes and the revision department incorporates the changes and produces a final proposal document for release. A proposal must pass through each department. Each department has personnel to service only one document at a time. The editing time is dependent on the type of proposal and the revision time is dependent on the size of the proposal. The time estimates below have been provided to you for scheduling.

Question 6. What is the minimum processing time in minutes?

(A) 525 (B) 1025 (C) 522 (D) 502 (E) none of the above

Question 7. What is the minimum average jobs per minute that can be achieved?

(A) 281 (B) 21 (C) 41 (D) 13 (E) none of the above

Proposal #

Editing Time (minutes)

Revision Time (minutes)

1

17

18

2

24

26

3

18

17

4

13

15

5

24

23

6

28

26

7

20

21

8

22

20

9

16

17

10

12

10

11

21

22

12

30

28

13

18

19

14

20

19

15

12

13

16

25

27

17

22

25

18

23

21

19

17

16

20

26

29

21

14

16

22

19

18

23

29

27

24

16

15

25

26

25

Question 8. Which Gantt Chart is correct for the project definition?

(A) Gantt Chart A

(B) Gantt Chart B

(C) Gantt Chart C

(D) Gantt Chart D

(E) None of the above

Project Definition

Gantt Chart A

Gantt Chart B

Activity

Predecessor

Activity

Time

1

2

3

4

1

2

3

4

1

---

1

2

1

1

3

1,2

2

4

1

2

5

2,4

1

Project Definition

Gantt Chart C

Gantt Chart D

Activity

Predecessor

Activity

Time

1

2

3

4

1

2

3

4

1

---

1

2

1

1

3

1,2

2

4

1

2

5

2,4

1

Question 9. In an nx1 queuing system with an arrival rate of  customers per hour and a service rate of  customers per hour, which indicates a stable system with the greatest average wait time for a customer?

(A) =24 and =32

(B) =32 and =24

(C) =28 and =24

(D) =24 and =28

(E) =32 and =28

Question 10. Using the aggregate run-out method for the assembly line schedule problem below, what is the production for product C in hours?

(A) 3 (B) 4 (C) 6 (D) 28 (E) None of the above

Available production = 53 hours.

Product

Line

Production

Inventory

Demand

Products

Hours/Item

Items

Items/week

A

0.1

120

50

B

0.2

100

80

C

0.1

110

50

D

0.3

200

80

E

0.2

90

40

>>>End of Homework<<<