Use the Hungarian Method to answer Question 1. Five employees are available to perform four jobs....
Use the Hungarian Method to answer Question 1.
Five employees are available to perform four jobs. The time it takes each person to perform each job is given in Table 50. Determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs.
TA B L E 50
Time (hours)
Person Job 1 Job 2 Job 3 Job 4
1 22 18 30 18
2 18 — 27 22
3 26 20 28 28
4 16 22 — 14
5 21 — 25 28
Note: Dashes indicate the person cannot do that particular job.
Be sure to show all of the steps involved in the implementation of the Hungarian Method in your answer. Also, in addition, to indicating the optimal allocation of employees to jobs, be sure to indicate the minimum total time required to perform all four jobs.
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Use the Hungarian Method to answer Question 1.
Five employees are available to perform four jobs....
The Hungarian algorithm: An example We consider an example where four jobs (J1, J2, J3, and...
The Hungarian algorithm: An example
We consider an example where four jobs (J1, J2, J3, and J4) need
to be executed by four workers (W1, W2, W3, and W4), one job per
worker. The matrix below shows the cost of assigning a certain
worker to a certain job. The objective is to minimize the total
cost of the assignment.
J1
J2
J3
J4
W1
82
83
69
92
W2
77
37
49
92
W3
11
69
5
86
W4
8...
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and constraints carefully. You don’t need to solve this
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QUESTION:
DATA FOR QUESTION:
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The Hungarian algorithm: An example
We consider an example where four jobs (J1, J2, J3, and J4) need
to be executed by four workers (W1, W2, W3, and W4), one job per
worker. The matrix below shows the cost of assigning a certain
worker to a certain job. The objective is to minimize the total
cost of the assignment.
J1
J2
J3
J4
W1
82
83
69
92
W2
77
37
49
92
W3
11
69
5
86
W4
8...
Formulate the followings into
optimization problems. While you could use the integer constraints,
the linear structure should be maintained. However, you shouldn’t
use the integer constraints if you can formulate the problem
without them. Describe the decision variables, objective function
and constraints carefully. You don’t need to solve this
problem.
(b) (10 pts) Three workers are available to perform two jobs. The timei takes each worker to perform each job is given in the following table. Formulate the problem to...
Problem 1: A forensic audit firm has five audit jobs remaining at a point in time. The audits are labeled as jobs 1, 2, 3, 4 and 5. The respective audit times (in days) and the remaining days before the due date are given in the table below. | Audit job Time required 10 28 30 Due (at the end of day 60 45 30 32 31 le a) Determine the job sequence using each of these priority rules: (1)...
Allocation Direct Method
Part 1 use provided info to complete table using
direct method.
part 2 use provided data to complete table using step-down
method.
10 Revenues: 12 13 Adult Medicine 14 Obstetrics 15 Pediatrics 16 Total revenues $ 12,000,000 6,000,000 2,000,000 $ 20,000,000 17 21 Adult 18 Direct Costs 19 20 Patient Services Departments. Adult Medicine $ 6.000.000 22 Obstetrics 3.600.000 23 Pediatrics 1.200.000 24 Subtotal $ 10.800.000 25 Support Departments 26 Administration 1.000.000 27 Facilities 4 400 000...
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Please use the above info to answer the next problems
B C D 1 Due to its popularity, the Black and White Handbag (BW14293) is normally a stock item. However, the 2 handbag is currently out of stock. Rather than producing only enough units to fill Katie's order, 3 management would like to produce a job (Job 114) that is large enough to fill Katie's order and replenish 4 stock. The fabric used for this job can be stacked four...
QUESTION:
DATA FOR QUESTION:
52 You need to use cell referencing so I can track your calculations in Excel and to perform what-if analysis for E. 53 54 a. Determine the monthly operating costs of a machine when cost assignments are 55 based on the number of machines. Conceptually this is like the plantwide overhead rate per unit. 56 Hint: Do not make this complicated, since you are given the total overhead cost and know there are 10 machines. A...
Need
help with all the questions (1-6).
PROBLEM 7-20 Evaluating the Profitability of Services L07-20, L07-30, L07-40, L07-50 Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $28 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on...
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