Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-12-01

Journal: APPLIED MATHEMATICAL MODELLING

Included Journals: EI、SCIE

Volume: 38

Issue: 23

Page Number: 5431-5438

ISSN: 0307-904X

Key Words: Scheduling; Single machine; Rate-modifying activity; Deteriorating jobs; SLK due date assignment

Abstract: We study a single machine slack due date assignment (usually referred to as SLK) scheduling problem with deteriorating jobs and a rate-modifying activity. The deterioration effect manifest such that the job processing time is a function of its starting time in a sequence. The rate-modifying activity is an activity that changes the processing rate of machine, i.e., the machine performs a rate-modifying activity. Hence the actual processing time of a job is a variable, which depends not only on its starting time in a sequence but also on whether it is scheduled before or after a rate-modifying activity. The goal is to schedule the rate-modifying activity, the optimal common flow allowance and the sequence of jobs to minimize the total earliness, the total tardiness and the common flow allowance cost. We show that the problem remains polynomially solvable under the proposed model. (C) 2014 Elsevier Inc. All rights reserved.