Question

Terrific Thai Food Truck wants to know about its waiting line. Currently, they use a single-server, single-phase system when serving customers. Based on historical evidence, the average number of customers arriving per hour is 80 and is described by a Poisson distribution. They estimate that they can serve 130 customers per hour with service times that follow an exponential distribution. Being that TTFT customers have infinite patience and are willing to wait in rain, sleet, and snow for the chance to get the best Thai food in town, we don’t see any balking or reneging. Being that Terrific Thai is located in Louisville, Kentucky… a city with a large population… customers come from an infinite population. The owners would like you to help them solve some thorny operational problems and figure out some system performance measures.

Compute each the following for this queueing system:

1. Average utilization.

2. Average time in the system.

3. Average time in the queue.

4. Average number of people in the system.

5. Average number of people in the queue.

6. The probability of there being more than 3 people in the system.

Answer 1

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