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, Problem 55AP
Summary Introduction

Interpretation: Considering three locations at (0,0), (0,6) and (3,3) with equal weights and using methods described in Appendix 11 − B, the contour lines for the rectilinear location problem needs to be determined.

Concept Introduction: The line that passes through or drawn through points having the same value is called a contour line.

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Consider you are an owner of one IT organization with 200 employees and youwant to keep track of the location information of each employee. You know thatnone of the employees will go out from the city and the radius of the city is 50km. What kind of location measure technique will be appropriate for you to keeptrack of continuous location information? Explain with proper justification. Also,show how your chosen location measurement is better than the other ones.
Design a spreadsheet to compute the total rectilinear distance from a set of up to10 existing locations to any other location. Assume that existing locations areplaced in Columns A and B and the new location in cells D1 and E1. Initializecolumn A with the value of cell D1 and column B with the value of cell E1, so thatthe total distance will be computed correctly when there are fewer than10 locations.a. Suppose that existing facilities are located at (0, 0), (5, 15), (110, 120), (35, 25),(80, 10), (75, 20), (8, 38), (50, 65), (22, 95), and (44, 70), and the new facility is tobe located at (50, 50). Determine the total rectilinear distance of the new facilityto the existing facilities.b. Suppose the new facility in part (a) can be located only at x =0, 5, 10, . . . , 100and y = 0, 10, 20, . . . , 100. By systematically varying the x and y coordinates,find the optimal location of the new facility
For each of the location problems described, discuss which of the seven assumptions listed in this section are likely to be violated:d. Locating spare parts depots to support a field repair organization.
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