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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.4 P.597~601

10.1631/jzus.2006.A0597


The single-machine scheduling problems with deteriorating jobs and learning effect


Author(s):  Cheng Ming-bao, Sun Shi-jie

Affiliation(s):  Department of Mathematics, Shanghai University, Shanghai 200444, China

Corresponding email(s):   chengmb99@hotmail.com, sunsj@staff.shu.edu.cn

Key Words:  Scheduling, Single-machine, Learning effect, Deteriorating jobs


Cheng Ming-bao, Sun Shi-jie. The single-machine scheduling problems with deteriorating jobs and learning effect[J]. Journal of Zhejiang University Science A, 2006, 7(4): 597~601.

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author="Cheng Ming-bao, Sun Shi-jie",
journal="Journal of Zhejiang University Science A",
volume="7",
number="4",
pages="597~601",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A0597"
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%T The single-machine scheduling problems with deteriorating jobs and learning effect
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%A Sun Shi-jie
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%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A0597

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T1 - The single-machine scheduling problems with deteriorating jobs and learning effect
A1 - Cheng Ming-bao
A1 - Sun Shi-jie
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SP - 597
EP - 601
%@ 1673-565X
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A0597


Abstract: 
In this paper we consider a single-machine scheduling model with deteriorating jobs and simultaneous learning, and we introduce polynomial solutions for single machine makespan minimization, total flow times minimization and maximum lateness minimization corresponding to the first and second special cases of our model under some agreeable conditions. However, corresponding to the third special case of our model, we show that the optimal schedules may be different from those of the classical version for the above objective functions.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Alidaee, B., Womer, N.K., 1999. Scheduling with time dependent processing times. Review and extension. J. Opl. Res. Soc., l50:711-720.

[2] Bachman, A., Janiak, A., 2004. Scheduling job with position-dependent processing times. J. Opl. Res. Soc., 55(3):257-264.

[3] Biskup, D., 1999. Single-machine scheduling with learning consideration. Eur. J. Opl. Res., 115:173-178.

[4] Cheng, T.C.E., Ding, Q., Lin, B.M.T., 2004. A concise survey of scheduling with time-dependent processing times. Eur. J. Opl. Res., 152(1):1-13.

[5] Lee, W.C., 2004. A note on deteriorating jobs and learning in single-machine scheduling problems. Int. J. Business and Economics, 1:83-89.

[6] Mosheiov, G., 1992. V-shaped policies to schedule deteriorating jobs. Operations Res., 39(6):979-991.

[7] Mosheiov, G., 1994. Scheduling job under simple linear deterioration. Computers & Oper. Res., 21(6):653-659.

[8] Mosheiov, G., 2001. Scheduling problems with a learning effect. Eur. J. Opl. Res., 132(3):687-693.

[9] Mosheiov, G., Sidney, J.B., 2003. Scheduling with general job-dependent learning curves. Eur. J. Opl. Res., 147(3):665-670.

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