PRACTICAL MGT. SCIENCE (LL)-W/MINDTAP
6th Edition
ISBN: 9781337610278
Author: WINSTON
Publisher: CENGAGE L
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Chapter 12.4, Problem 8P
Summary Introduction
To determine: The number of servers that are busy.
Introduction: In order to predict the waiting time and length of the queue, queueing model will be framed. Queueing theory is the mathematical model that can be used for the decision-making process regarding the resources required to provide a service.
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Consider a bank with two tellers. An average of 2 customers per hour arrive at the bank and wait in a single línea for an idle teller. The average time it takes to serve a customer is triangular (x1=1, y1=0), (x2=4, y2=2/3) Assume that inter-arrival times and services time is exponential. Develop the service (ST) equation?
a. Y=2x-22/6B. Y=2x-22/3C. Y=22/3x-2/3D. Y=2x-3/22
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
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the bank needs to hire to achieve the 4-minute service goal mentioned
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b. During lunch, what is the minimum number of tellers that the bank needs
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c. In the afternoon, what is the minimum number of tellers that the bank
Customers send emails to a help desk of an online retailer every 2.9 minutes, on average, and the standard deviation of the interarrival time is 90 seconds. The online retailer has three employees answering emails. It takes on average 7.5 minutes to write a response email. The standard deviation of the service times is 3.5 minutes. How many emails would there be, on average, that have been submitted to the online retailer, but their senders have not received the response email yet?
Chapter 12 Solutions
PRACTICAL MGT. SCIENCE (LL)-W/MINDTAP
Ch. 12.3 - Prob. 1PCh. 12.3 - Explain the basic relationship between the...Ch. 12.3 - Prob. 3PCh. 12.3 - Prob. 4PCh. 12.4 - Prob. 5PCh. 12.4 - Prob. 6PCh. 12.4 - Prob. 7PCh. 12.4 - Prob. 8PCh. 12.5 - Prob. 9PCh. 12.5 - Prob. 10P
Ch. 12.5 - Prob. 11PCh. 12.5 - Prob. 12PCh. 12.5 - Prob. 13PCh. 12.5 - Prob. 14PCh. 12.5 - Prob. 15PCh. 12.5 - Prob. 16PCh. 12.5 - Prob. 17PCh. 12.5 - Prob. 18PCh. 12.5 - Prob. 19PCh. 12.5 - Prob. 20PCh. 12.5 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.5 - On average, 100 customers arrive per hour at the...Ch. 12.5 - Prob. 24PCh. 12.5 - Prob. 25PCh. 12.5 - Prob. 26PCh. 12.5 - Prob. 27PCh. 12.5 - Prob. 28PCh. 12.5 - Prob. 29PCh. 12.5 - Prob. 30PCh. 12.5 - Prob. 31PCh. 12.5 - Prob. 32PCh. 12.5 - Prob. 33PCh. 12.5 - Prob. 34PCh. 12.5 - Prob. 35PCh. 12.5 - Two one-barber shops sit side by side in Dunkirk...Ch. 12.5 - Prob. 37PCh. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 54PCh. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Prob. 59PCh. 12 - Prob. 60PCh. 12 - Prob. 61P
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