Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 8.8, Problem 15P
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.
Consider 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)?
Chapter 8 Solutions
Practical Management Science
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. 8.8 - Prob. 16PCh. 8.8 - Prob. 17PCh. 8.8 - Prob. 18PCh. 8.8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - 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. 1CCh. 8 - Prob. 2C
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- 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_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_forwardFive 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_forward
- Diablo Electronics manufactures four unique products (A, B, C, and D) that are fabricated and assembledin five different workstations (V, W, X, Y, and Z) using a small batch process. Each workstation is staffedby a worker who is dedicated to work a single shift per day at an assigned workstation. Batch setuptimes have been reduced to such an extent that they can be considered negligible. A flowchart denotesthe path each product follows through the manufacturing process as shown in Figure 5.2, where eachproduct’s price, demand per week, and processing times per unit are indicated as well. Inverted trianglesrepresent purchased parts and raw materials consumed per unit at different workstations. Diablo canmake and sell up to the limit of its demand per week, and no penalties are incurred for not being able tomeet all the demand.Which of the five workstations (V, W, X, Y, or Z) has the highest utilization, and thus serves as the bottle-neck for Diablo Electronics?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_forwardAnswer the questions based on a 50 demand per day and an 7 hours of working hours Minimum number of work stations to balance this process = 2 Minimum number of work stations to balance this process = 3 Minimum number of work stations to balance this process = 4 Minimum number of work stations to balance this process=5arrow_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
- You operate a process with three workstations; the cycle times are given below. A regular batch is 52 units and your production line runs 5 hours per day. Calculate how many hours lead time is required to ship a batch, assuming there are no orders ahead in the queue and there is no inventory to fill the order. Workstation 1 has a cycle time of 2 minutes per unit Workstation 2 has a cycle time of 3 minutes per unit Workstation 3 has a cycle time of 3 minutes per unit Select one: a. 1560.00 b. 8.00 c. 1560.00 d. 90.00 e. 2340.00arrow_forwardIn a POAM, an action is a scheduled event that indicates the completion of a task or group of tasks. True Falsearrow_forwardAn organization faces heavy penalties for jobs that are not completed on time. Which of the following priority rules should the operations manager use when sequencing jobs? A.EDD: earliest due date B.SPT: shortest processing time C.LPT: longest processing time D.FCFS: first come, first servedarrow_forward
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