Practical Management Science
5th Edition
ISBN: 9781305734845
Author: WINSTON
Publisher: Cengage
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Chapter 13.5, Problem 14P
Summary Introduction
To determine: The change L, W, LQ, and WQ if L and W is doubled in formula.
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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suppose tht a queueing system has two identical servers, and an exponential service-time distribution with a mean of 1/u=10minutes. furthermore, a customer has just arrived to find two in the system. how long would you expect him to wait before being able to start service?
Note:-
Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
Answer completely.
You will get up vote for sure.
An emergency room (ER) at a Prisma Health Hospital has 10 total
beds it can hold patients, i.e., the capacity of the queueing system of this ER is 10. Patients
arrive to the ER at a rate of 5 per hour. Therefore, we have that λn = 6 for n = 0, 1, . . . , 9
and λ10 = 0 for this queueing system. A patient is seen by an ER doctor as the ‘service’
of this queueing system. The amount of time required for an ER doctor to treat a patient
is exponentially distributed with a mean of .4 hours. We seek the minimum number of ER
doctors so that the expected time of a patient waiting to be seen (so the Wq) is less than
or equal to 15 minutes (.25 hours). You should begin by analyzing s = 1 and show any
calculations that were used to determine Wq for each number of servers that you considered
until you meet the target metric.
8 customers per hour
7. Suppose that the queueing system under consideration fits the M/M/s model with
=
and μ
10 customers per hour. Use the Excel template to find the optimal number of servers for each of the
following cases.
(a) Cs
=
= $100 and Cw = $10.
(b) Cs = $100 and Cw = $100.
'W
(c) C = $10 and Cw = $100.
-
For each part, please list the results in a table like below. You just need to submit one Excel file (the one
with the optimal number of servers) for each part.
E(SC) = Cçs
E(WC) = CwL
P
E(TC)=E(SC) + E (WC)
S
1
2
3
4
Chapter 13 Solutions
Practical Management Science
Ch. 13.3 - Prob. 1PCh. 13.3 - Prob. 2PCh. 13.3 - Prob. 3PCh. 13.3 - Prob. 4PCh. 13.4 - Prob. 5PCh. 13.4 - Prob. 6PCh. 13.4 - Prob. 7PCh. 13.4 - Prob. 8PCh. 13.5 - Prob. 9PCh. 13.5 - Prob. 10P
Ch. 13.5 - Prob. 11PCh. 13.5 - Prob. 12PCh. 13.5 - Prob. 13PCh. 13.5 - Prob. 14PCh. 13.5 - Prob. 15PCh. 13.5 - Prob. 16PCh. 13.5 - Prob. 17PCh. 13.5 - Prob. 18PCh. 13.5 - Prob. 19PCh. 13.5 - Prob. 20PCh. 13.5 - Prob. 21PCh. 13.5 - Prob. 22PCh. 13.5 - Prob. 23PCh. 13.5 - Prob. 24PCh. 13.5 - Prob. 25PCh. 13.5 - Prob. 26PCh. 13.5 - Prob. 27PCh. 13.5 - Prob. 28PCh. 13.5 - Prob. 29PCh. 13.5 - Prob. 30PCh. 13.5 - Prob. 31PCh. 13.5 - Prob. 32PCh. 13.5 - Prob. 33PCh. 13.5 - Prob. 34PCh. 13.5 - Prob. 35PCh. 13.5 - Prob. 36PCh. 13.5 - Prob. 37PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 54PCh. 13 - Prob. 58PCh. 13 - Prob. 59P
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