Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to Town Taxi use a common number. When all dispatchers are busy, the caller hears a waiting song until the first dispatchers becomes available. The telephone system will assign available dispatcher to the waiting callers according to FCFS. Assume that the arrival of calls follows a Poisson distribution, with an average of 35 calls per hour. Also assume that the time that each dispatcher spends with a customer follows Exponential distribution and each dispatcher takes an average of 3 minutes with each caller. 13. What is the average number of callers in the system? 3.56 4 2.22

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The telephone
calls that are made to Town Taxi use a common number. When all dispatchers are busy, the caller hears
a waiting song until the first dispatchers becomes available. The telephone system will assign available
dispatcher to the waiting callers according to FCFS. Assume that the arrival of calls follows a Poisson
distribution, with an average of 35 calls per hour. Also assume that the time that each dispatcher spends
with a customer follows Exponential distribution and each dispatcher takes an average of 3 minutes with
each caller.
13. What is the average number of callers in the system?
3.56
4
2.22
Transcribed Image Text:Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to Town Taxi use a common number. When all dispatchers are busy, the caller hears a waiting song until the first dispatchers becomes available. The telephone system will assign available dispatcher to the waiting callers according to FCFS. Assume that the arrival of calls follows a Poisson distribution, with an average of 35 calls per hour. Also assume that the time that each dispatcher spends with a customer follows Exponential distribution and each dispatcher takes an average of 3 minutes with each caller. 13. What is the average number of callers in the system? 3.56 4 2.22
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