Answered: Determine what driver should be sent to…

Determine what driver should be sent to what destination to minimize the distance? Submit your excel document with the results and interpretation of them.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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BUSINESS ANALYTICS & DECISION MAKING

Model and solve the following assignment problem:

•The manager at “Happy taxi” has 3 drivers available to send to new destinations according to the following table of the distance from driver to destination:

•Determine what driver should be sent to what destination to minimize the distance? Submit your excel document with the results and interpretation of them.

Driver Distance in (km)

Destination # 1 2 3

Ali 21 10 20

Amit 19 10 9

Karen 9 11 12

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Step 1: Introduction

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Step 2: Create a table to denote the distances between drivers and destinations

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Step 3: Subtract row minimum from each element of corresponding row

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Step 4: Subtract column minimum from each element of corresponding column

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Step 5: Draw minimum number of straight lines, both horizontal and vertical, to cover all the zeroes

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Step 6: Check optimality

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Step 7: Optimal assignment

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