Question

For the single server with Poisson arrival, with the decrease in the mean of exponential service times, the average waiting time is going to reduce

• A. In a negative exponential manner
• B. At an increasing rate
• C. In a positive exponential manner
• D. At a decreasing rate

Answer 1

Answer:

A. In a negative exponential manner

The waiting time in a queuing system with Poisson arrival reduces with the decrease in mean service time in a negative exponential manner. This is because the waiting time formula has an inverse relation with service time, which is exponentially distributed. The waiting time in a system or queuing is defined as the time a customer waits to get service.