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 11.9, Problem 31P
Summary Introduction

Interpretation: In problem 30, supposing that Mr. Bender can park only in lots located at (1) 40th Street and 8th Avenue, (2) 46th Street and 6th Avenue (3) 33rd Street and 5th Avenue, then the position that Mr. Bender will be planning to park his vehicle, needs to be given.

Concept Introduction: When the differences between the x and y coordinates are added, then it gives the Rectilinear distance between two points along an orthogonal path.

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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
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Travelling Salesman Problem (TSP); Given the following distance matrix, use the nearest neighbor (NN) heuristic to find a route that starts from the warehouse (W), visits each customer only once, and finishes at the warehouse to minimize the distance traveled. What is the route and the corresponding distance? Distances W 1 2 3 4 in miles 18 57 27 50 18 0 65 29 61 57 65 0 36 99 3 27 29 36 0 76 4 50 61 99 76 Route=W-1-3-2-4, Distance=182 miles Route=W-3-1-2-4-W, Distance=270 miles Route = W-3-1-2-4, Distance=220 miles Route=W-1-3-2-4-W, Distance=232 miles Route=W-1-3-4-2, Distance=272 miles 1, 2.
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