On Single Machine Scheduling and Due DateAssignment with Positionally Dependent Processing Times

Valery S. Gordon () and Vitaly A. Strusevich ()
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Valery S. Gordon: National Academy of Sciences of Belarus, United Institute of Informatics Problems
Vitaly A. Strusevich: University of Greenwich, School of Computing and Mathematical Sciences

Chapter 20 in Operations Research Proceedings 2008, 2009, pp 123-128 from Springer

Abstract: Summary This paper addresses single machine scheduling problems in which the decision-maker controls two parameters: the due dates of the jobs and the processing times. In the problems under consideration, the jobs have to be assigned the due dates and the objective includes the cost of such an assignment, the total cost of discarded jobs and, possibly, the holding cost of the early jobs represented in the form of total earliness. The processing times of the jobs are not constant but depend on the position of a job in a schedule. We mainly focus on scheduling models with a deterioration effect. Informally, under deterioration the processing time is not a constant but changes according to some rule, so that the later a job starts, the longer it takes to process. An alternative type of scheduling models with non-constant processing times are models with a learning effect, in which the later a job starts, the shorter its processing time is. The two types of models are close but not entirely symmetric.

Date: 2009
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DOI: 10.1007/978-3-642-00142-0_20

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