SINGLE MACHINE SCHEDULING WITH A LEARNING EFFECT AND A RATE-MODIFYING ACTIVITY

Chuanli Zhao () and Hengyong Tang
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Chuanli Zhao: School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning, 110034, People's Republic of China
Hengyong Tang: School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning, 110034, People's Republic of China

Asia-Pacific Journal of Operational Research (APJOR), 2011, vol. 28, issue 04, 511-521

Abstract: In the paper, single machine scheduling problems with a learning effect and a rate-modifying activity are considered. Under the learning effect, the processing time of a job is a decreasing function of its position in the sequence. The rate-modifying activity is an event that can change the speed of the machine, and hence the processing time of jobs after the activity. The following objective functions are considered: the makespan, the total earliness, tardiness and completion time penalty, and the total earliness, tardiness, due-window starting time and due-window size penalty. Polynomial time algorithms are proposed to optimally solve the problems.

Keywords: Scheduling; single machine; learning effect; rate-modifying activity (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0217595911003211

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