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For the maintenance department of a logistic campany, there is the problem to determine the optimal number of employees. The reason for that is the unsteady demand for services ¨C the number of repairs as well as the number of employees per repair is different from day to day.
Based on a simulation, the optimal number of employees should be determined using the expiriences from the past. The following information are given:
Number of repairs per Day   0        1          2         3         4            5          6
Likelihood                          0,159  0,161   0,067   0,156   0,159      0,136    0,162

Furthermore, the following is known about the type of repair:
Type of Repair   Small repair              Medium repair                Huge repair
Likelihood               0,809                        0,042                           0,149

Additionally, it is known that a small repair needs three employees per day, a medium repair five and a huge repair needs seven employees.
Furthermore, you know:
a) In 60% of all cases where employees have to do a small repair the staff is so early back that they can do once either a further small or medium repair at the same day.
b) In 20% of all cases where employees have to do a medium repair the staff is so early back that they can do once a further small repair at the same day.
1. Explain firstly the concept with which you implement the dependencies in a) und b) within a simulation framework.
2. Using that concept simulate the workload of the maintenance department for 365 days and determine the following values:
o minimum of required employees per day
o average of required employees per day
o maximum of required employees per day
o average number of repairs per day
o likelihood for at least 10 resp. at most 15 employees per day
3. Which recommendations you can give to the department manager based on the results of your simulation?
4. How do these recommendation change if the dependencies are not considered?

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