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 35P
Summary Introduction
Interpretation: Contour lines for two facilities located at
Concept Introduction: The line that passes through or drawn through points having the same value is called a contour line.
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Frank Green, an independent TV repairman, is considering purchasing a home in Ames, Iowa, that he will use as a base of operations for his repair business. Frank’s primary sources of business are 10 industrial accounts located throughout the Ames area. He has overlaid a grid on a map of the city and determined the following locations for these clients as well as the expected number of calls per month he receives: (given)
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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
(1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method).
B
C
6
12
15
10
11
7
16
9
Truck / Route
1
2
3
4
Step la: Row subtraction (show your steps, e.g., see cell 1A)
Truck / Route
B
1
2
3
4
A
10
11
9
14
Step 1b: Column subtraction.
Truck / Route
1
2
3
4
A
10-6=4
=
=
=
=
=
B
=
с
=
C
Step 2: Testing for optimal solution (show your lines covering the zero entries).
What is the minimum number of lines required to cover all zeros?
D
8
14
10
13
D
=
=
D
=
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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