Question

% Problem 15.15 a) Using the FCFS (first come, first served ) decision rule for sequencing the jobs, the order is (assume that jobs came in the order in which they are listed in the table): Sequence Job days (round your response to two The average tardiness (job lateness) for the sequence developed using the FCFS rule = decimal places). Enter your answer in the answer box and then click Check Answer.
a) Using the FCFS​ (first come, first served​ ) decision rule for sequencing the​ jobs, the order is​ (assume that jobs came in the order in which they are listed in the​ table):

Sequence	Job
1	A

2

B

3

C

4

D

5

E

The average tardiness​ (job lateness) for the sequence developed using the FCFS rule​ = ___ days ​(round your response to two decimal​ places).

The following jobs are waiting to be processed at the same machine center. Jobs are logged as they​ arrive:

                                                                             

Job	Due Date	Duration​ (days)
A	315	3
B	313	8
C	312	16
D	325	40
E	314	5

All dates are specified as manufacturing planning calendar days. Assume that all jobs arrive on day 275. Assume each job starts at the beginning of the day and finishes at the end of the day​ (a job that begins on day 275 and takes 8 days will finish on day​ 282, and the next job begins in the morning of day​ 283). Compute all times based on initiating work on day 275.

Answer 1

a) FCFS sequence:
Sequence	Job
1	A
2	B
3	C
4	D
5	E
DAY OF ARRIVAL	275
Sequence	Job	Due Date	Duration (days)	Arrival Date	Completion Date	job lateness
1	A	315	3	275	278	0
2	B	313	8	275	286	0
3	C	312	16	275	302	0
4	D	325	40	275	342	17
5	E	314	5	275	347	33
Note: Tardiness or lateness is the number of days after the due date that the job takes to complete.
Average lateness	10.00
the average tardiness for the sequence developed using the FCFS rule = 10.00 days

formula used:

C D E F 2 3 Job Duration (days) Due Date 315 313 COUW 312 325 314 10 a) FCFS sequence: 11 Sequence 12 1 13 2 14 3 154 16 5 17 18 DAY OF ARRIVAL 20 Sequence 21 1 22 2 23 3 Due Date 315 313 312 325 314 Duration (days) Arrival Date Completion Date job lateness =$B$18 =E21+D21 =IF((F21-C21)>0,(F21-C21),0) =$B$18 =F21+D22 =IF((F22-C22)>0,(F22-C22),0) =$B$18 =F22+D23 =IF((F23-C23)>0,(F23-C23),0) =$B$18 =F23+D24 =IF((F24-C24)>0,(F24-C24),0) =$B$18 =F24+D25 =IF((F25-C25)>0,(F25-C25),0) 16 24 4 25 5 26 Note: Tardiness or lateness is the number of days after 27 Average lateness =AVERAGE(G21:25) 28