At a certain petrol pump, customer arrive in poisson process with an average time of 5 mins between arrivals. The time interval between servers at the petrol pump follows an exponential distribution and the mean time to service a unit is 2 mins. In queuing theory how we do the sums like by how much the flow of the customer be increased to justify the opening of another service point where the customer has to wait for 5 minutes for the service?
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Characteristics of the stream of arrivals
Usually, the timing of arrivals is described by specifying the average rate of arrivals per unit of time (a), or the average interarrival time (1/a). For example, if the average rate of arrivals, a = 10 per hour, then the interarrival time, on average, is 1/a = 1/10 hr = 6 min.
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Answered by
6
Answer:
Characteristics of the stream of arrivals
Usually, the timing of arrivals is described by specifying the average rate of arrivals per unit of time (a), or the average interarrival time (1/a). For example, if the average rate of arrivals, a = 10 per hour, then the interarrival time, on average, is 1/a = 1/10 hr = 6 min.
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