Practical Management Science, Loose-leaf Version
5th Edition
ISBN: 9781305631540
Author: WINSTON, Wayne L.; Albright, S. Christian
Publisher: Cengage Learning
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Chapter 8.10, Problem 20P
Summary Introduction
To determine: The optimal sequencing of jobs using evolutionary solver.
Introduction: The variation between the present value of the
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A furniture factory makes two types of wooden tables,large and small. See the flowchart below .Small tables are made in batches of 100, and large tables are made in batches of 50. A batch includes a fixed setup time for the entire batch at each process step and a run time for each piece in the batch. Both large and small tables have the same processing times. The capacities of each process step are given, and apply to production of either type of table, as shown in the flowchart. a. What is the capacity of the system, and what is thebottleneck? b. What are the throughput times for batches of large and small tables? c. When producing at a rate of six small tables per hour on average, how many tables will be in the system?
Consider a manufacturing process depicted by the following flowchart.
A1
B: 4 minutes
A2
A3
B
Either of C1 and C2: 2 minutes.
C1
Station A has 3 parallel operators, A1, A2, and A3. Station C has 2 parallel operators,
C1 and C2. Each unit only needs to be processed by one of the operators A1, A2 and
A3. After being processed at Station B, a unit then needs to be processed by either
C1 or C2. The process time of the individual operators are given as follows.
Each of A1, A2, and A3: 20 minutes
C2
What is the capacity (in units/hour) of the whole process? Round your final answer
to 2 decimal places if it is not a whole number.
The single machine-scheduling problem consists of:
Select one:
None is correct
n jobs with the same single operation on each of the jobs.
n jobs with m operations on each of the jobs.
n jobs with different operations on each of the jobs.
Chapter 8 Solutions
Practical Management Science, Loose-leaf Version
Ch. 8.3 - Prob. 1PCh. 8.3 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.5 - Prob. 6PCh. 8.5 - Prob. 7PCh. 8.5 - In the lawn mower production problem in Example...Ch. 8.6 - Prob. 9PCh. 8.6 - Prob. 10P
Ch. 8.6 - Prob. 11PCh. 8.6 - Prob. 12PCh. 8.7 - Prob. 13PCh. 8.7 - Prob. 14PCh. 8.8 - Prob. 15PCh. 8.9 - Prob. 17PCh. 8.9 - Prob. 18PCh. 8.10 - Prob. 20PCh. 8.10 - Prob. 21PCh. 8.10 - Prob. 22PCh. 8.10 - Prob. 23PCh. 8.10 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 46PCh. 8 - Prob. 1CCh. 8 - Prob. 2C
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- I need a b c pleasearrow_forwardJoe's Twenty-four Seven Laundromat has the following jobs waiting to be processed. The first step of the process includes washing and drying the clothes; the second step is pressing the clothing. Joe wants to minimize the amount of time it takes to do all the jobs. The five jobs waiting to be processed are shown here. Job Wash andDry (hours) Press(hours) A 5 4 B 3 4 C 2 3 D 7 5 E 4 2 Wash and Dry Using FCFS, assume the jobs arrive in the order shown (A, then B, then C, etc.). Show the beginning time for each job and ending time for the whole process adding hours throughout the process. A -0 number of hours B-5 number of hours C-8 number of hours D-10 number of hours E-17 number of hours A B C D E 0 enter a number of hours enter a number of hours enter a number of hours enter a number of hours enter a number of hours enter a number of hours Pressarrow_forwardConsider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?arrow_forward
- One possible solution method for the machine-tojob assignment problem is the following heuristic procedure. Assign the machine to job 1 that completes job 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, completes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic-procedure yield the optimal solution for this problem? If it does, see whether you can change the job times so that the heuristic does not yield the optimal-solution.arrow_forwardOne possible solution method for the machine-to job assignment problem is the following heuristic procedure. Assign the machine to job 1 that completes job 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, completes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic procedure yield the optimal solution for this problem? If it does, see whether you can change the job times so that the heuristic does not yield the optimal solution.arrow_forwardAt 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…arrow_forward
- Five jobs are waiting for processing through two work centers. Their processing time (in minutes) at each work center is contained in the table below. Each job requires work center Sigma before work center Delta. According to Johnson's rule, what sequence of jobs will minimize the completion time for all jobs? Job Sigma Delta R 20 10 S 25 30 T 30 20 U 35 35 V 15 25 Part 2 A. V−S−U−T−R B. V−R−U−S−T C. R−V−T−S−U D. S−U−T−V−R E. R−S−T−U−Varrow_forwardbama pie company's assembly line operations (the assembly line operates for six hundred minutes per day) comprise of eleven tasks, with the longest task time being 2.4 minutes and the shortest task time being 0.4 minutes; the sum of the task times is eighteen minutes. the firm is working on balancing its assembly line operations. the firm needs to produce 200 pies per day; to achieve this, the firm calculates the required cycle time as ---- minutes?arrow_forwardIn a manufacturing system, the technique of deciding how to assign work to specific work stations (machines) is referred to as_ O a. station allocation O b. line balancing O c. task allocation O d. work allocation O e. process balancingarrow_forward
- AssumMe a customer orders a product online. SupPpose that the product is delivered later in the weEek. The time between the order placement and order delivery is known as: a. waitT time b. queue time c. cycle time d. process timearrow_forwardA book binder has one printing press, one binding machine and manuscripts of 7 different books. The times required for performing printing and binding operations for different books are shown below. Book 1 2 3 4 5 6 7 Printing time (hours) 20 90 80 20 120 15 65 Binding time (hours) 25 60 75 30 90 35 50 Decide the optimum sequence of processing of books in order to minimize the total time required to bring out all the books.arrow_forwardCurrently a company that designs Web sites has five customers in its backlog. The time since the order arrived, processing time, and promised due dates are given in the following table. The customers are ready to be scheduled today, which is the start of day 190. Customer Time Since Order Arrived (days ago) Processing Time (days) Due Date (days from now) Upper AA 6 18 66 Upper BB 3 24 58 Upper CC 2 32 100 Upper DD 10 22 26 Upper EE 8 12 50 a. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average days past due. Part 2 Using the FCFS (first come, first served) decision rule for sequencing the customers, the order is: Sequence 1 2 3 4 5 Customer D E A B C Part 3 Using…arrow_forward
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