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Single Machine Two-Agent Scheduling with Deteriorating Jobs

Zhenyou Wang (), Cai-Min Wei and Yu-Bin Wu ()
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Zhenyou Wang: Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, P. R. China
Cai-Min Wei: Department of Mathematics, Shantou University, Shantou 515063, P. R. China3Guangdong Provincial Key Lab of Digital, Signals and Image Processing, Shantou University, Shantou, Guangdong 515063, P. R. China
Yu-Bin Wu: School of Science, Shenyang Aerospace University, Shenyang 110136, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 05, 1-17

Abstract: This paper deals with the single machine scheduling problem with deteriorating jobs in which there are two distinct families of jobs (i.e., two-agent) pursuing different objectives. In this model the processing time of a job is defined as a function that is proportional to a linear function of its stating time. For the following three scheduling criteria: minimizing the makespan, minimizing the total weighted completion time, and minimizing the maximum lateness, we show that some basic versions of the problem are polynomially solvable. We also establish the conditions under which the problem is computationally hard.

Keywords: Scheduling; single machine; deteriorating job; two-agent; two-criteria (search for similar items in EconPapers)
Date: 2016
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