Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 5.5, Problem 31P
Summary Introduction
To modify: The spreadsheet model.
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.
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Chapter 5. (M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called DataWish. Each data unit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the “arrival” of each data unit for service and an exponential distribution to the actual service provided, answer the following questions:
a. The arrival rate would be units per week and the service rate would be units per week.
b. Calculate the following operating characteristics for the M/M/s/K system:
Utilization Factor (ρ)
%
Performance Measures
P0 (probability that sytem is empty)
%
L (average units in system)
units
Lq (average units waiting in queue)
units
W (average time in the system)
weeks
Wq (average time in the queue)
weeks
c. If we assign a cost of waiting as $400 per week per data unit and $800 per…
Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called
DataWish. Each computer runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset
by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each computer for
service and an exponential distribution to the actual service provided, answer the following questions:
a. The arrival rate would bel
units per week and the service rate would be
units per week.
b. Calculate the following operating characteristics for the M/M/s/K system:
Utilization Factor (p)
Performance
Measures
c. If we assign a cost of waiting as $500 per week per
computer and $800 per week of hiring Leia, what is the
Total Time Cost per week cost of servicing the
machines?
PO (probability that
sytem is empty)
%
dollars
L (average units in
system)
units
d. If DataWish decides to hire another individual to
help Leia, what would the new Total Time Cost per…
Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on an
average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution
to the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions:
a. The arrival rate would be
units per week and the service rate would be
units per week.
b. Calculate the following operating characteristics for the M/M/s/K system:
Utilization Factor (p)
%
Performance Measures
PO (probability that sytem
is empty)
L (average units in
units
system)
La (average units waiting
in queue)
units
W (average time in the
weeks
system)
Wq (average time in the
queue)
weeks
c. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost of
servicing the…
Chapter 5 Solutions
Practical Management Science
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.3 - Prob. 10P
Ch. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 16PCh. 5.3 - Prob. 17PCh. 5.3 - Prob. 18PCh. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.5 - Prob. 30PCh. 5.5 - Prob. 31PCh. 5.5 - Prob. 32PCh. 5.5 - Prob. 33PCh. 5.5 - Prob. 34PCh. 5.5 - Prob. 35PCh. 5.5 - Prob. 36PCh. 5.5 - Prob. 37PCh. 5.5 - Prob. 38PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 1C
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