Single-Machine Scheduling with Learning Effect, Deteriorating Jobs and Convex Resource Dependent Processing Times

Xin-Jun Li (), Jian-Jun Wang () and Xue-Ru Wang ()
Additional contact information
Xin-Jun Li: Faculty of Management and Economics, Dalian University of Technology, Dalian 116024, P. R. China;
Jian-Jun Wang: Faculty of Management and Economics, Dalian University of Technology, Dalian 116024, P. R. China
Xue-Ru Wang: School of Science, Shenyang Aerospace University, Shenyang 110136, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2015, vol. 32, issue 05, 1-12

Abstract: This paper considers single-machine scheduling with learning effect, deteriorating jobs and convex resource dependent processing times, i.e., the processing time of a job is a function of its starting time, its position in a sequence and its convex resource allocation. The objective is to find the optimal sequence of jobs and the optimal convex resource allocation separately to minimize a cost function containing makespan, total completion (waiting) time, total absolute differences in completion (waiting) times and total resource cost. It is proved that the problem can be solved in polynomial time.

Keywords: Scheduling; learning effect; deteriorating jobs; resource allocation; single-machine (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595915500335
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:32:y:2015:i:05:n:s0217595915500335

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0217595915500335

Access Statistics for this article

Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao

More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().