Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 18, Problem 7PA
Summary Introduction
To determine: Average inventory of the projects in SPT sequence.
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Currently a company that designs Web sites has six customers in its backlog. The time since the order arrived, processing time, and promised due dates are given in the following table.
Job
Time Since Order Arrived
(days ago)
Processing Time
(days)
Due Date
(days from now)
A
6
18
48
B
4
22
52
C
1
30
70
D
10
14
28
E
7
12
56
F
5
20
62
Develop a schedule by using the first-come, first-served (FCFS) rule and calculate the average flow time and average days past due for the schedule.
Develop a schedule by using the earliest due date (EDD) rule and calculate the average flow time and average days past due for the schedule.
Comment on the performance of the FCFS and EDD rules relative to average flow time and average days past due.
At the campus copy shop, six jobs have arrived in the order shown (A, B, C, D, E, and F) at the beginning of the day 1 (today, which is a work day). All of the jobs are due at various times today. Your job is to evaluate four common sequencing rules.
JOB
DUE (IN HOURS)
DURATION (HOURS REQUIRED)
A
8
(this job is due in 8 hours)
1.65
B
5.5
(this job is due in 5.5 hours)
1.20
C
4.5
(this job is due after lunch in 4.5 hours)
0.85
D
6
(this job is due in 6…
TABLE 18.21 Processing Time for Eight Projects, Displayed in the Sequence They Arrived
Project
P1
P2
P3
Р4
P5
P6
P7
P8
Processing time (hours)
4 1
0.5
2
3
6
1
.....
1. Given the projects displayed in Table 18.21, if FCFS is used to sequence the jobs, what is the
average flow time of the projects (in hours)?
2. Given the projects displayed in Table 18.21, if SPT is used to sequence the jobs, what is the
average flow time of the projects (in hours)?
Chapter 18 Solutions
Operations Management
Ch. 18 - Prob. 1CQCh. 18 - Prob. 2CQCh. 18 - Prob. 3CQCh. 18 - Prob. 4CQCh. 18 - Prob. 5CQCh. 18 - Prob. 6CQCh. 18 - With weighted shortest processing time, jobs are...Ch. 18 - Prob. 8CQCh. 18 - Prob. 9CQCh. 18 - Prob. 10CQ
Ch. 18 - Prob. 11CQCh. 18 - Prob. 12CQCh. 18 - Prob. 13CQCh. 18 - Prob. 14CQCh. 18 - Prob. 15CQCh. 18 - Prob. 16CQCh. 18 - Prob. 1PACh. 18 - Prob. 2PACh. 18 - Prob. 3PACh. 18 - Prob. 4PACh. 18 - Prob. 5PACh. 18 - Prob. 6PACh. 18 - Prob. 7PACh. 18 - Prob. 8PACh. 18 - Prob. 9PACh. 18 - Prob. 10PACh. 18 - Prob. 11PACh. 18 - Prob. 12PACh. 18 - Prob. 13PACh. 18 - Prob. 14PACh. 18 - Prob. 15PACh. 18 - Prob. 1CCh. 18 - Prob. 2CCh. 18 - Prob. 3CCh. 18 - Prob. 4C
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- The following jobs are waiting to be processed at a small machine center. JOB 10 20 30 40 50 DUE DATE 260 256 260 265 275 DURATION (DAYS) According to the LPT rule, the sequence of jobs should be 10, 50, 40, 20, 30 b) What is the average completion (flow) time? The average completion (flow) time is 62.8 days (round your response to one decimal place) c) What is the average job lateness? The average job lateness is 11.0 days (round your response to one decimal place). d) What is the average number of jobs in the system? The average number of jobs in the system is jobs (round your response to one decimal place). 28 12 8 18 22 D Points: 2 of 4 All dates are specified as manufacturing planning calendar days. Assume that all jobs arrived on day 200 (yesterday) in the order shown but are not scheduled to begin until day 201 (today). a) Sequence the jobs according to LPTarrow_forwardWhat are the benefits and drawbacks of the shortest processing time rule (SPT)?arrow_forwardGiven the following information on job times and due dates. Job Job Time(Hours) Due Date(Hours) a 3.5 7 b 2.0 6 c 4.5 18 d 5.0 22 e 2.5 4 f 6.0 20 a-1. Determine the optimal processing sequence using (1) First come, first served, (2) Shortest processing time, (3) Earliest due date, and (4) Critical ratio. Sequence for First come, first served Sequence for Shortest processing time Sequence for Earliest due date Sequence for Critical ratio a-2. For each method, find the average job flow time and the average job tardiness. (Round your answers to 2 decimal places.) First Come, FirstServed Shortest ProcessingTime Earliest Due Date Critical Ratio Average flow time Average job tardinessarrow_forward
- If the jobs displayed in Table 18.23 are processed using the earliest-due-date rule, whatwould be the lateness of job B?arrow_forwardCourtney is a programmer receiving requests each week to analyze a large data base. Five jobs were on her desk Monday morning and she must decide in what order to write the code. Assume that all jobs arrived today (day 1 and hour 1), in the order shown below. Courtney has assigned the number of hours required to do the coding as noted. Note that Courtney works an 8-hour day and today is a work day. Due date Duration (hours required) Job (hours hence) A 8 16 2 C 24 10 32 16 E 12 6 In what sequence would the jobs be ranked according to the following decision rules: FCFS, EDD, SPT, LPT? According to the FCFS rule, the sequence of jobs should be According to the EDD rule, the sequence of jobs should be According to the SPT rule, the sequence of jobs should be According to the LPT rule, the sequence of jobs should bearrow_forwardIf the jobs displayed in Table 18.23 are processed using the earliest-due-date rule, whatis the average flow time?arrow_forward
- state whether or not each situation would be considered “compensable time” (and why or why not). An employee of a fast food chain has to arrive at work 15 minutes early to change into the“mascot” costume and it typically takes another 15 minutes at the end of the shift to change outof the costume and properly store it. Due to the cost of the costume, employees are notallowed to take the costume home. The “mascots” typically work from 10am – 2pm, to coverthe lunch rush periods. How much time would be “compensable” for the mascots, assumingthe conditions/schedule listed above?2) George is a Radiology Technician at a local hospital and when on call, is required to be nofurther than 30 minutes away from the facility. Is the “on call” time, compensable?arrow_forwardIf the jobs displayed in Table 18.23 are processed using the earliest-due-date rule, whatis the maximum tardiness?arrow_forwardIf the 13th unit processed requires 87.00 minutes and the 26th unit requires 64.00 minutes, how much time would you estimate the 50th unit requires? (round to nearest whole number) Group of answer choices 35 minutes 48 minutes 18 minutes 55 minutes 40 minutesarrow_forward
- 1/ Katie Posh runs an upscale nail salon. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parentheses):Activity 1: Welcome a guest. (1 minute)Activity 2: Clip and file nails. (3 minutes)Activity 3: Paint. (5 minutes)Activity 4: Dry. (10 minutes)Activity 5: Check out the customer. (4 minutes)Three servers (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to servers is the following: S1 does Activity 1. S2 does Activities 2 and 3. S3 does Activities 4 and 5. The drying process does not require server 3’s constant attention; she/he needs to only escort the customer to the salon’s drying chair (equipped with fans for drying). The time to do this is negligible. There exists only one drying chair in the salon.a. What is the utilization of server 2 (in decimal form)? Assume that there is unlimited demand and that the process only admits customers at the rate of…arrow_forwarda) 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 1 2 3 4 5 Job A B C 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 A B C E Due Date 315 313 312 325 314 Duration (days) 3 8 16 40 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.arrow_forwardAn independent accountant is planning to prepare tax returns for six of her clients.Prior to her actually preparing each return, her secretary checks the client’s file to besure all the necessary documentation is there and obtains all the tax forms needed forthe preparation of the return. Based on past experience with the clients, her secretaryestimates that the following times (in hours) are required for preparation of the returnand for the accountant to complete the necessary paperwork prior to filing each return:Client Secretary Time Accountant Time1 1.2 2.52 1.6 4.53 2.0 2.04 1.5 6.05 3.1 5.06 0.5 1.5In what order should the work be completed in order to minimize the total timerequired for all six clients?arrow_forward
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