Single Machine Scheduling with Step-Deteriorating Processing Times

Publication Type

Journal Article

Publication Date

2001

Abstract

We study in this paper a scheduling model in which each task has a normal processing time which deteriorates as a step function if its starting time is beyond a given deteriorating date. We focus on problems with identical task deteriorating dates. We show that the flow time problem is NP-complete and suggest a pseudo-polynomial algorithm for the makespan problem. We also introduce a general method of solution, which facilitates the identification of solvable cases for some related problems. Finally, we provide a counter-example that invalidates the conjecture of optimality of a switching algorithm reported in the literature. Thus, we solve several unexplored or open problems and obtain a sharp boundary delineating the complexity of the considered problems.

Discipline

Business

Research Areas

Operations Management

Publication

European Journal of Operational Research

Volume

134

Issue

3

First Page

623

Last Page

630

ISSN

0377-2217

Identifier

10.1016/s0377-2217(00)00284-8

Publisher

Elsevier

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