Question

In: Operations Management

Clancy’s Casino, in Muledeer, Nevada, is open 24 hours a day, seven days a week. Along...

Clancy’s Casino, in Muledeer, Nevada, is open 24 hours a day, seven days a week. Along with all the other attractions and diversion, Clancy’s operates a variety of gaming tables. Dealers at these tables are interchangeable. The casino has the following daily requirements for dealers:

                  Time                             Minimum # of dealers

      0100 – 0500                               7

      0500 – 0900                               4

      0900 – 1300                               9

      1300 – 1700                               12

      1700 – 2100                               15

      2100 – 0100                               17

A dealer may start work at the beginning of any one of the six shifts and, having begun, works eight consecutive hours.

A. Find the employee schedule that minimizes the total number of dealers required, meeting the minimum level of each shift’s requirements.

B. Suppose in problem 4, Clancy’s Casino pays a wage differential depending on the hours worked. In particular, between midnight and 0700, it pays dealers $16 per hour, between 0700 and 1900 $10 per hour, and between 1900 and midnight $12 per hour. Modify your formulation to problem 4, and determine the minimum cost shift schedule for Clancy’s.

Solutions

Expert Solution

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The time slots mentioned are of 4 hours each while each employee can work for 8 hours in a day. Hence once an employee starts working in a shift he can carry forward to the next time slot as well

Time slot no of dealers req no of Emp starting shift carry forward
5-9 4 4
9-13 9 5 4
13-17 12 7 5
17-21 15 8 7
21-1 17 9 8
1-5 7 0 9

Please note there is a surpluses of 2 employees for 4 hours each only on the first day making it a total of 33 employees . This will balanced on next day making it a requirement of 31 employees

Earlier formulation:

Modification:

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keosha answered 6 months ago
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