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A person entering public transport center to purchase intercity Bus ticket. There is two ticket line to purchase tickets. Each ticket purchase takes an average of 12 seconds. The average arrival rate is 3 persons/minute. Find (a) Probability of having one traveler in the system, (b) the average length of queue, (c)average waiting time in queue, (d) average time spend in system. Arrival follows Poisson distribution and service time follows negative exponential distribution.

A person entering public transport center to purchase intercity Bus ticket. There is two ticket line to purchase tickets. Each ticket purchase takes an average of 12 seconds. The average arrival rate is 3 persons/minute. Find (a) Probability of having one traveler in the system, (b) the average length of queue, (c)average waiting time in queue, (d) average time spend in system. Arrival follows Poisson distribution and service time follows negative exponential distribution.

Traffic and Highway Engineering
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
Section: Chapter Questions
Problem 26P: The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson...
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A person entering public transport center to purchase intercity Bus ticket. There is two ticket line to purchase tickets. Each ticket purchase takes an average of 12 seconds. The average arrival rate is 3 persons/minute. Find (a) Probability of having one traveler in the system, (b) the average length of queue, (c)average waiting time in queue, (d) average time spend in system. Arrival follows Poisson distribution and service time follows negative exponential distribution.
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