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Published in: Journal of Scheduling 1/2016

01-02-2016

A graph coloring approach to the deployment scheduling and unit assignment problem

Authors: Mark Zais, Manuel Laguna

Published in: Journal of Scheduling | Issue 1/2016

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Abstract

We address one of the external factors of personnel inventory behavior, deployments. The configuration of persistent unit deployments has the ability to affect everything from individual perceptions of service palatability to operational effectiveness. There is little evidence to suggest any analytical underpinnings to the U.S. Army deployment scheduling and unit assignment patterns. This paper shows that the deployment scheduling and unit assignment problem can be formulated as an interval graph such that modifications to traditional graph coloring algorithms provide an efficient mechanism for dealing with multiple objectives.

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Footnotes
1
Unit deployments in persistent conflict range from 9 to 15 months in recent history. It is reasonable to assume a 9-month lower bound since shorter deployments continue to worsen BOG:Dwell ratios and can cause logistics and operations issues that make solutions infeasible in other domains.
 
2
Intervals in the graph may have the same endpoints.
 
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Metadata
Title
A graph coloring approach to the deployment scheduling and unit assignment problem
Authors
Mark Zais
Manuel Laguna
Publication date
01-02-2016
Publisher
Springer US
Published in
Journal of Scheduling / Issue 1/2016
Print ISSN: 1094-6136
Electronic ISSN: 1099-1425
DOI
https://doi.org/10.1007/s10951-015-0434-0

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