Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 12.5, Problem 34P
Summary Introduction
To determine: The system that Person X would prefer if he was a bank manager.
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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Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:
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An M/M/1 queueing system has that customers arrive to it at a
rate of 5 per hour, i.e., its interarrival times between two consecutive arrivals follows an
exponential distribution with parameter 5 per hour. This question will ask you to evaluate
two options for designing the server in the system. Both options for the single server provide
the same service for the customers in the queueing system but they cost different amounts to
implement. In addition, the total costs of the queuing system are the implementation costs
plus the customer costs. Currently, the customer costs are $100 per hour per customer in the
queueing system.
In comparing these options, it costs us $100 per hour per customer in the queueing system.
(a) The first option for the server is one that has a service time that follows an
exponential distribution with mean 10 minutes. Determine L, W, Lq, and Wq for this
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(b) The second option for the server is one that has a service time that follows
an…
Using an M/M/1 queuing system as an example demonstrate how the event list in a simulation model would evolve over 5 discrete steps if the first part will arrive at time zero, the time between the next four arrivals are 3, 5, 6, and 4 minutes and that the machining times for the first five parts are 6, 4, 3, 5, and 4 minutes. The performance metrics of interest are the average queue length and the number of items processed.
Chapter 12 Solutions
Practical Management Science
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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