A service shop owner is deciding on the operation design of his business. The av

Question

A service shop owner is deciding on the operation design of his business. The average customers per day is 18 with Poisson distribution. He currendly has 2 operators that each can process an average of 10 customers per day, with service time exponentially distributed. He has four options from which he should select one O Hire the super operator and provide the special tool for the super operator to work at a race of 21 clients per day O Buy a special tool to increase the service rate of each operator from 10 to 11 per day Hire a superaperator with service rate of 20 clients per day in lieu of the two current normal operators ONot changing the system and keep the current 2 workers

Explanation / Answer

For the process to be stable so that it does not form a queue of indefinite length, Average service rate > Average arrival rate. This is the necessary condition to be met.

In the given example,

Average customers arrival per day = 18

Average numbers of customers served per day = 10 x 2 = 20

Thus it can be seen that :

Average numbers of customers served per day > Average customers arrival per day. Therefore, the process is stable. Hence there is no need of hiring additional workers to make the process stable.

The correct answer therefore should be “Not changing the system and keep the current 2 workers”

ANSWER : Not changing the system and keep the current two workers

ANSWER : Not changing the system and keep the current two workers

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