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Management Science Vol. 49 No. 6 2003

The Value of Resource Flexibility in the Resource-Constrained Job Assignment Problem

George Vairaktarakis

Department of Operations, Weatherhead School of Management, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106-7235

Abstract

We consider the problem of minimizing project duration in an environment where each project activity can be executed by a number of different flexible resources. The capabilities of the flexible resources are modeled using a binary activity-resource matrixAcalled theavailabilitymatrix. Activity durations are known deterministically. We develop tight lower bounds and a variety of heuristics accompanied with extensive computational tests regarding their performance. It is shown that our algorithms consistently perform near optimally. Using these heuristics, we perform experiments on the effect of operating flexibility on project duration, where resource flexibility is measured by the number of resources available per activity, and the form of the availability matrixA. Our experiments lead to important managerial guidelines regarding the role of resource flexibility on project duration. For instance, it is found that when the flexible capabilities of the resources are evenly distributed across the activities, small improvements in resource flexibilities provide nearly the same benefits in project duration as a system of fully flexible resources.

DOI
10.1287/mnsc.49.6.718.16027
Volume
49
Issue
6
Pages
718-732
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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