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.
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f325da2-fb91-4bc3-92b6-f47aba3c9c9e%2F9225fe90-8bd6-400a-a8e8-bdff01ef39a8%2Fob7wuk_processed.png&w=3840&q=75)
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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