Operations Management: Processes and Supply Chains, Student Value Edition Plus MyLab Operations Management with Pearson eText -- Access Card Package (12th Edition)
12th Edition
ISBN: 9780134855424
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter B, Problem 2P
Summary Introduction
Interpretation: The probability whether a customer will take the time less thana half-minute along with the probability whether a customer will take above 3 minutes is to be determined.
Concept Introduction:
Probability is a sub-partof mathematics. Probability refers to the numerical description, which states that how likely some event will happen after multiple trials.
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In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour.
What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.)
What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.)
What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.)
What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)
please answer in 30 mins.
Consider a bank branch that has three distinct customer arrival patterns
throughout the day, as measured by average arrival rates (below).
Morning (8:30 - 11:30):
arrival 1 = 47 per hour.
%3D
Lunch (11:30 - 1:30):
arrival 2 = 70 per hour.
Afternoon (1:30 - 4:00):
arrival 3 = 30 per hour.
Regardless of the time of day, the average time it takes for a teller to serve
customers is 3.17 minutes.
Because of competition with other banks in the area, management has
developed an internal goal to keep the average customer wait before service to
be less than 4 minutes. With that in mind, answer the following:
a. During the morning period, what is the minimum number of tellers that
the bank needs to hire to achieve the 4-minute service goal mentioned
above? [ Select]
b. During lunch, what is the minimum number of tellers that the bank needs
to hire to achieve the 4 minute service goal mentioned above?
[ Select ]
c. In the afternoon, what is the minimum number of tellers that the bank
Chapter B Solutions
Operations Management: Processes and Supply Chains, Student Value Edition Plus MyLab Operations Management with Pearson eText -- Access Card Package (12th Edition)
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