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Single-machine online scheduling of jobs with non-delayed processing constraint

Published: 01 May 2021 Publication History

Abstract

This paper introduces a new environment of online scheduling in which jobs are scheduled under the non-delayed processing (NDP) constraint, where NDP means that the available jobs cannot be delayed for processing when some machine is idle. We study in this paper the single-machine online scheduling to minimize the maximum weighted completion time (WCmax) or the maximum delivery completion time (Lmax) under the NDP constraint. For the first problem, we establish a lower bound 2 and provide an online algorithm which has a competitive ratio of (3+5)/22.618. We present a 3/2-competitive best possible online algorithm for the second problem.

References

[1]
Akker MVD, Hoogeveen H, and Vakhania N Restarts can help in the online minimization of the maximum delivery time on a single machine J Sched 2003 3 333-341
[2]
Allahverdi A A survey of scheduling problems with no-wait in process Eur J Oper Res 2016 255 665-686
[3]
Chai X, Lu LF, Li WH, and Zhang LQ Best-possible online algorithms for single machine scheduling to minimize the maximum weighted completion time Asia Pac J Oper Res 2018 35 1850048
[4]
Chen RB and Yuan JJ Single-machine scheduling of proportional-linearly deteriorating jobs with positional due indices 4OR 2020 18 177-196
[5]
Fang Y, Liu PH, and Lu XW Optimal on-line algorithms for one batch machine with grouped processing times J Comb Optim 2011 22 509-516
[6]
Hoogeveen JA and Vestjens APA A best possible deterministic on-line algorithm for minimizing maximum delivery time on a single machine SIAM J Discrete Math 2000 13 56-63
[7]
Kalczynski PJ and Kamburowski J On no-wait and no-idle flow shops with makespan criterion Eur J Oper Res 2007 178 677-685
[8]
Li WJ A best possible online algorithm for the parallel-machine scheduling to minimize the maximum weighted completion Time Asia Pac J Oper Res 2015 32 1550030
[9]
Li WH and Chai X Online scheduling on bounded batch machines to minimize the maximum weighted completion time J Oper Res Soc China 2018 6 455-465
[10]
Liu M, Chu CB, Xu YF, and Zheng FF An optimal online algorithm for single machine scheduling with bounded delivery times Eur J Oper Res 2010 201 693-700
[11]
Oron D, Shabtay D, and Steiner G Single machine scheduling with two competing agents and equal job processing times Eur J Oper Res 2015 244 86-99
[12]
Pruhs K, Sgall J, and Tong E Leung JY-T Online scheduling Handbook of scheduling: algorithm, model, and pertormance analysis 2004 Boca Raton Chapman and Hall/CRC Press
[13]
Samarghandi H A particle swarm optimization for the no-wait flow shop problem with due date constraints Int J Prod Res 2015 53 9 2853-2870
[14]
Tan ZY, Zhang A, et al. Pardalos PM et al. Online and semi-online scheduling Handbook of combinatorial optimization 2013 New York Springer
[15]
Tang LX, Feng L, and Zhen ZL integrated scheduling of production and two-stage delivery of make-to-order products: offline and online algorithms Informs J Comput 2019 31 9 493-514
[16]
Tian J, Fu RY, and Yuan JJ On-line scheduling with delivery time on a single batch machine Theor Comput Sci 2007 374 49-57
[17]
Tian J, Fu RY, and Yuan JJ A best on-line algorithm for single machine scheduling with small delivery times Theor Comput Sci 2008 393 287-293
[18]
Tian J, Fu RY, and Yuan JJ An on-line algorithm for the single machine unbounded parallel-batching scheduling with large delivery times Inf Process Lett 2011 111 1048-1053
[19]
Tian J, Cheng TCE, Ng CT, and Yuan JJ An improved on-line algorithm for single parallel-batch machine scheduling with delivery times Discrete Appl Math 2012 160 1191-1210
[20]
Tian J, Fu RY, and Yuan JJ Online over time scheduling on parallel-batch machines: a survey J Oper Res Soc China 2014 2 445-454
[21]
Vestjeans APA (1997) On-line machine scheduling. Ph.D. Thesis, Eindhove University of Technology, Netherlands
[22]
Yuan JJ, Ng CT, and Cheng TCE Scheduling with release dates and preemption to minimize multiple max-form objective functions Eur J Oper Res 2020 280 860-875
[23]
Yuan JJ, Li SS, Tian J, and Fu RY A best possible on-line algorithm for the single machine parallel-batch scheduling with restricted delivery times J Comb Optim 2009 17 206-213
[24]
Zhao QL and Yuan JJ Bicriteria scheduling of equal length jobs on uniform parallel machines J Comb Optim 2020 39 637-661

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Published In

cover image Journal of Combinatorial Optimization
Journal of Combinatorial Optimization  Volume 41, Issue 4
May 2021
153 pages

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 May 2021
Accepted: 02 March 2021

Author Tags

  1. Online scheduling
  2. Weighted completion time
  3. Delivery time
  4. Non-delayed processing

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