EconPapers    
Economics at your fingertips  
 

Minimax Resource Allocation with Tree Structured Substitutable Resources

Rachelle S. Klein and Hanan Luss
Additional contact information
Rachelle S. Klein: AT&T Bell Laboratories, Holmdel, New Jersey
Hanan Luss: AT&T Bell Laboratories, Holmdel, New Jersey

Operations Research, 1991, vol. 39, issue 2, 285-295

Abstract: We examine an allocation problem in which limited resources are allocated among competing activities. Certain substitutions among resources are possible. The substitutional relations are formulated using tree structures, where a node (resource) can substitute for all its descendants. Potential applications with such resources are found, for example, in the manufacturing of high technology products. The objective is to minimize the maximum weighted relative deviation of the activity levels from given demands. Our formulation of this problem involves a large number of possible resource constraints. We develop an efficient minimax algorithm that is based on an iterative solution of relaxed problems, where each such problem considers at most one aggregated constraint from each tree. The algorithm is extended to minimize lexicographically the nonincreasingly sorted vector of all terms in the objective, each of which represents an activity's deviation. Computational results show that the algorithm solves large problems using relatively small computation time.

Keywords: production/scheduling; applications: allocation of manufacturing resources; programming; linear; algorithm: minimax algorithm for substitutable resources (search for similar items in EconPapers)
Date: 1991
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://dx.doi.org/10.1287/opre.39.2.285 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:39:y:1991:i:2:p:285-295

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().

 
Page updated 2025-03-19
Handle: RePEc:inm:oropre:v:39:y:1991:i:2:p:285-295