Production and Operations Analysis, Seventh Edition
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 (0,0), (5,5) and (10,10). The weight applied to these facilities are 1, 2 and 3 respectively. The location of a new facility that minimizes the weighted Euclidean distance to the existing facilities needs to be determined.

Concept Introduction: In a Euclidean space, the distance between two points, in a straight line is called Euclidean distance.

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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
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) 4 (4, 6) (8, 4) (3, 14) (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 2 1 11 5 7 6 7 3 M 8 a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) The center of gravity "X" coordinate = 9 The center of gravity "Y" coordinate = 8. b. Compare the load-distance scores for the…
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 4 (4, 6) 7 (8, 4) (3, 14) (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 3 1 4 11 7 3 7 3 M 8 a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) The center of gravity "X" coordinate = The center of gravity "Y" coordinate =
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