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Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 11.10, Problem 40P
Summary Introduction
Interpretation: Three facilities are located at
Concept Introduction: In a Euclidean space, the distance between two points, in a straight line is called Euclidean distance.
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Students have asked these similar questions
If there are five factories in the district, with locations and size given in the following table, use the center-of-gravity method to determine at which factory the central office should be placed to minimize the average distance between the office and employees.
Location
A
B
C
D
E
(X,Y)
(5,5)
(0,5)
(0,0)
(5,0)
(2,1)
Size (Employees)
2500
1000
10000
4500
7500
An electronics firm located near Phoenix, Arizona, is considering where to locate a new phone switch that will link five buildings. The buildings are located at (0, 0), (2, 6), (10, 2), (3, 9), and (0, 4). The objective is to locate the switch to minimize the cabling required to those five buildings.a. Determine the gravity solution.b. Determine the optimal location assuming a straight-line distance measure. (If you are solving this problem by hand, iterate the appropriate equations at least five times and estimate the optimal solution.)
A larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs
caused a shift in the population density from where it was 40 years ago, when the current facility was built.
Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and
delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main
post office, M, are shown in the following table. M will continue to act as a mail source point after relocation.
Mail Source Point Round trips per day x, y, Coordinates (miles)
1
8
2
2
1
6
3
4
6
7
M
2
4
8
The center of gravity "X" coordinate = 10
The center of gravity "Y" coordinate = 6
(11,5)
(15,5)
(1, 13)
(2, 1)
(4, 14)
(16, 12)
(15,5)
(14,2)
a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest
whole number.)
b. Compare the load-distance scores for the…
Chapter 11 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.4 - Prob. 7PCh. 11.4 - Prob. 8PCh. 11.5 - Prob. 10PCh. 11.6 - Prob. 11P
Ch. 11.6 - Prob. 12PCh. 11.6 - Prob. 13PCh. 11.6 - Prob. 14PCh. 11.6 - Prob. 15PCh. 11.6 - Prob. 16PCh. 11.6 - Prob. 17PCh. 11.6 - Prob. 18PCh. 11.6 - Prob. 19PCh. 11.7 - Prob. 20PCh. 11.7 - Prob. 21PCh. 11.7 - Prob. 22PCh. 11.7 - Prob. 23PCh. 11.8 - Prob. 24PCh. 11.8 - Prob. 25PCh. 11.8 - Prob. 26PCh. 11.8 - Prob. 27PCh. 11.9 - Prob. 28PCh. 11.9 - Prob. 29PCh. 11.9 - Prob. 30PCh. 11.9 - Prob. 31PCh. 11.9 - Prob. 32PCh. 11.9 - Prob. 33PCh. 11.9 - Prob. 34PCh. 11.9 - Prob. 35PCh. 11.9 - Prob. 36PCh. 11.9 - Prob. 37PCh. 11.9 - Prob. 38PCh. 11.10 - Prob. 39PCh. 11.10 - Prob. 40PCh. 11.10 - Prob. 41PCh. 11.11 - Prob. 42PCh. 11.11 - Prob. 43PCh. 11.11 - Prob. 45PCh. 11 - Prob. 46APCh. 11 - Prob. 47APCh. 11 - Prob. 48APCh. 11 - Prob. 49APCh. 11 - Prob. 50APCh. 11 - Prob. 51APCh. 11 - Prob. 52APCh. 11 - Prob. 53APCh. 11 - Prob. 54APCh. 11 - Prob. 55APCh. 11 - Prob. 56APCh. 11 - Prob. 58AP
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