Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 8.8, Problem 17P
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.
Mr. Elf owns a show store. Currently, he has 10 pairs of shoes that require resoling and polishing. He has a machine that can resole one pair of shoes at a time, and the time required for
the operation varies with the type and condition of the shoe and the type of sole that is used. Shoes are polished on a machine dedicated to this purpose as well, and polishing is always
done after resoling. His assistant generally does the polishing while Mr. Elf does the resoling. The resoling and polishing times (in minutes) are:
Shoes
1
Resoling Time
14
Polishing Time
3
2
28
1
3
12
2
4
6
5
5
10
10
6
14
6
7
4
12
8
25
8
9
10
15
10
5
5
Determine the sequence in which these shoes should be repaired to minimize the total makespan for these 10 jobs, and answer the following questions.
Based on the optimal sequence: (Enter integer only)
1. The first job to be processed is Job
2. The third job to be processed is Job
3. The fourth job to be processed is Job
4. The fifth job to be processed is Job
5. The…
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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- Your team has been assigned to complete 10 client projects over the next two months. These projects and their processing times (time taken to complete a project once started, in days) are described in the table below. In addition, each project has a due-date that has been set by your internal marketing team so that the customers will be delighted with your service if you complete the project by the due-date. However, your team has only enough resources to pursue exactly one project at any given time. Once started, a project is worked through its completion and is not interrupted. As a result of the sequence in which you choose to handle projects, each project will either be on time, or late if it is completed past the due date. If a project is late, the amount of time by which it misses its due-date is called its tardiness. The objective is to pick the sequence in which to complete the projects so as to minimize the total tardiness in the schedule. What is the minimum total tardiness…arrow_forwardA key part of work center scheduling is job sequencing—deciding in what order jobs are scheduled to start/complete. What is the term for the simple rules used to aid this process using a single piece of data about the jobs?arrow_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_forward
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