Auto vehicles arrive at a petrol pump, having one petrol unit, in Poisson fashion with an average of 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following: i. Average number of units in the system ii. Average waiting time iii. Average length of queue iv. Probability that a customer arriving at the pump will have to wait v. The utilization factor for the pump unit vi. Probability that the number of customers in the system is 2.

Auto vehicles arrive at a petrol pump, having one petrol unit, in Poisson fashion with an average of 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following: i. Average number of units in the system ii. Average waiting time iii. Average length of queue iv. Probability that a customer arriving at the pump will have to wait v. The utilization factor for the pump unit vi. Probability that the number of customers in the system is 2.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

See similar textbooks