The Continuous Assignment Problem and Its Application to Preemptive and Non-Preemptive Scheduling with Irregular Cost Functions

This paper focuses on the continuous assignment problem with the eventual aim to solve scheduling problems with irregular cost functions. It consists of partitioning a region of R d into subregions of prescribed volumes so that the total cost is minimized. The dual problem of the continuous assignme...

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Bibliographic Details
Published in:INFORMS journal on computing Vol. 16; no. 2; pp. 198 - 208
Main Author: Sourd, Francis
Format: Journal Article
Language:English
Published: Linthicum INFORMS 22.03.2004
Institute for Operations Research and the Management Sciences
Subjects:
Assignment problem
Branch & bound algorithms
branch and bound
continuous linear programming
earliness and tardiness
Job shops
Linear programming
Production scheduling
Studies
ISSN:1091-9856, 1526-5528, 1091-9856
Online Access:Get full text
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Summary:This paper focuses on the continuous assignment problem with the eventual aim to solve scheduling problems with irregular cost functions. It consists of partitioning a region of R d into subregions of prescribed volumes so that the total cost is minimized. The dual problem of the continuous assignment problem is an unconstrained maximization of a non-smooth concave function. The preemptive variant of the scheduling problem with irregular cost functions corresponds to the one-dimensional continuous assignment problem and a lower bound for the non-preemptive variant can be derived. It is computationally tested in a branch-and-bound algorithm.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:1091-9856
1526-5528
1091-9856
DOI:10.1287/ijoc.1030.0034