A small railway ticket booking office has two counters – Counter 1 for enquiry and Counter 2 for ticket booking. Customer arrival is Poisson at 7 per hour to the enquiry and 12 per hour to the ticket booking counter. Exponentially distributed service time in each counter is 6 minutes per customer. Find by how much the average waiting time of a customer in the system reduces at Counter 1 (original enquiry counter) when the office decides to go for pooling of resources – i.e. an arriving customer will get enquiry or ticket booking facility at any of the counters.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A small railway ticket booking office has two counters - Counter 1 for enquiry and Counter 2
for ticket booking. Customer arrival is Poisson at 7 per hour to the enquiry and 12
per hour to the ticket booking counter. Exponentially distributed service time in each counter
is 6 minutes per customer. Find by how much the average waiting time of a customer in
the system reduces at Counter 1 (original enquiry counter) when the office decides to go for
pooling of resources – i.e. an arriving customer will get enquiry or ticket booking facility at
any of the counters.
Transcribed Image Text:Question related to queing theory don't copy A small railway ticket booking office has two counters - Counter 1 for enquiry and Counter 2 for ticket booking. Customer arrival is Poisson at 7 per hour to the enquiry and 12 per hour to the ticket booking counter. Exponentially distributed service time in each counter is 6 minutes per customer. Find by how much the average waiting time of a customer in the system reduces at Counter 1 (original enquiry counter) when the office decides to go for pooling of resources – i.e. an arriving customer will get enquiry or ticket booking facility at any of the counters.
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