(1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method). A B C 10 6 12 15 10 11 7 16 9 Truck / Route 1 2 3 4 11 9 14 Step la: Row subtraction (show your steps, e.g., see cell 1A) Truck / Route A B с D 8 14 10 13 D

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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(1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method).
Truck / Route
1
2
3
4
Step 1b: Column subtraction.
Truck / Route
Step la: Row subtraction (show your steps, e.g., see cell 1A)
Truck / Route
A
B
1
10-6-4
2
3
4
A
10
11
9
14
Conclusions:
B
6
15
11
16
A
Truck 1 to Route
Truck 2 to Route
1
2
3
4
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?
Step 3: Revise the opportunity cost table (show your calculation steps)
Truck / Route
A
B
1
2
3
4
Truck 3 to Route
Truck 4 to Route
Total costs=
B
C
12
10
7
9
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?
с
D
8
14
10
13
D
D
(show calculation steps).
Transcribed Image Text:You must show your work to receive credit for your answer. (1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method). Truck / Route 1 2 3 4 Step 1b: Column subtraction. Truck / Route Step la: Row subtraction (show your steps, e.g., see cell 1A) Truck / Route A B 1 10-6-4 2 3 4 A 10 11 9 14 Conclusions: B 6 15 11 16 A Truck 1 to Route Truck 2 to Route 1 2 3 4 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? Step 3: Revise the opportunity cost table (show your calculation steps) Truck / Route A B 1 2 3 4 Truck 3 to Route Truck 4 to Route Total costs= B C 12 10 7 9 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? с D 8 14 10 13 D D (show calculation steps).
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