A self service store employs one cashier at its counter. An average of nine customers arrive every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service time, find: (i) average number of customers in the system; (ii) average number of customers in the queue or average queue length; (iii) average time a customer spends in the system; (iv) average time a customer waits before being served.
A self service store employs one cashier at its counter. An average of nine customers arrive every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service time, find: (i) average number of customers in the system; (ii) average number of customers in the queue or average queue length; (iii) average time a customer spends in the system; (iv) average time a customer waits before being served.
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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A self service store employs one cashier at its counter. An average of nine customers arrive every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service time, find:
(i) average number of customers in the system;
(ii) average number of customers in the queue or average queue length;
(iii) average time a customer spends in the system;
(iv) average time a customer waits before being served.
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