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: Average number of units in the system Average waiting time iii. Average length of queue Probability that a customer arriving at the pump will have to wait The utilization factor for the pump unit 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: Average number of units in the system Average waiting time iii. Average length of queue Probability that a customer arriving at the pump will have to wait The utilization factor for the pump unit 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
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OPERATIONS RESEARCH
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:
- Average number of units in the system
- Average waiting time
iii. Average length of queue
- Probability that a customer arriving at the pump will have to wait
- The utilization factor for the pump unit
- Probability that the number of customers in the system is 2.
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