uses the following schedule to determine the number of counters in operation, depending on the number of customers in line: Number of customers in store Number of counters in operation 1 to 3 1 4 to 6 2 More than 6 3 Customers arrive in the counters area according to a Poisson distribution with a mean rate of 10 customers per hour. The average checkout time per customer is exponential with mean 12 minutes. i. Determine the steady state probability Pn of n customers in the checked out area. The Probability that an arriving customer will not wait. ii. ii. The Probability that all three counters will be in use.

uses the following schedule to determine the number of counters in operation, depending on the number of customers in line: Number of customers in store Number of counters in operation 1 to 3 1 4 to 6 2 More than 6 3 Customers arrive in the counters area according to a Poisson distribution with a mean rate of 10 customers per hour. The average checkout time per customer is exponential with mean 12 minutes. i. Determine the steady state probability Pn of n customers in the checked out area. The Probability that an arriving customer will not wait. ii. ii. The Probability that all three counters will be in use.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Question

100%

Subject: Operations research

a. “Metro Cash & Carry" located in Islamabad operates with three checkout counters. The manager
uses the following schedule to determine the number of counters in operation, depending on the
number of customers in line:
Number of customers in store
Number of counters in operation
1 to 3
1
4 to 6
2
More than 6
3
Customers arrive in the counters area according to a Poisson distribution with a mean rate of 10
customers per hour. The average checkout time per customer is exponential with mean 12
minutes.
i.
Determine the steady state probability Pn of n customers in the checked out area.
The Probability that an arriving customer will not wait.
ii.
ii.
The Probability that all three counters will be in use.

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