Cloud Services Capacity Planning. Galaxy Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Galaxy Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to Secure data and to Super Secure data. The cost to update each data center and the resulting increase in server capacity for each type of server are as follows: Cost ($ Secure Super Secure Data Center millions) Servers Servers Michigan 2.5 50 30 New York 1 3.5 80 40 New York 2 3.5 40 80 Ohio 4.0 90 60 California 2.0 20 30

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Assume that the need for Secure servers is at least 120 and the need for Super Secure servers is at least 90.

Also assume that if Michigan is updated, then New York 2 must be updated as well. 

What is the minimum cost of the added capacity?

 
Cloud Services Capacity Planning. Galaxy Cloud Services operates
several data centers across the United States containing servers that store
and process the data on the Internet. Suppose that Galaxy Cloud Services
currently has five outdated data centers: one each in Michigan, Ohio, and
California and two in New York. Management is considering increasing the
capacity of these data centers to keep up with increasing demand. Each
data center contains servers that are dedicated to Secure data and to
Super Secure data. The cost to update each data center and the resulting
increase in server capacity for each type of server are as follows:
Cost ($
Secure
Super Secure
Data Center
millions)
Servers
Servers
Michigan
2.5
50
30
New York 1
3.5
80
40
New York 2
3.5
40
80
Ohio
4.0
90
60
California
2.0
20
30
Transcribed Image Text:Cloud Services Capacity Planning. Galaxy Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Galaxy Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to Secure data and to Super Secure data. The cost to update each data center and the resulting increase in server capacity for each type of server are as follows: Cost ($ Secure Super Secure Data Center millions) Servers Servers Michigan 2.5 50 30 New York 1 3.5 80 40 New York 2 3.5 40 80 Ohio 4.0 90 60 California 2.0 20 30
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