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research-article

Machine scheduling with deteriorating jobs and DeJong's learning effect

Published: 01 January 2016 Publication History

Abstract

We consider parallel-machine scheduling with deteriorating jobs and DeJong's learning effect.We provide an FPTAS for minimizing the makespan.We show that the total completion time minimization problem is polynomially solvable. We consider parallel-machine scheduling with deteriorating jobs and DeJong's learning effect. We focus on the problems to minimize the total completion time and the makespan. We show that the former is polynomially solvable, while the latter is NP-hard, for which we provide a fully polynomial-time approximation scheme.

References

[1]
A. Agnetis, J.C. Billaut, S. Gawiejnowicz, D. Pacciarelli, A. Soukhal, Multiagent scheduling - Models and algorithms, Springer, Berlin, 2014.
[2]
A.B. Badiru, Computational survey of univariate and multivariate learning curve models, IEEE Transactions on Engineering Management, 39 (1992) 176-188.
[3]
D. Biskup, Single-machine scheduling with learning considerations, European Journal of Operational Research, 115 (1999) 173-178.
[4]
D. Biskup, A state-of-the-art review on scheduling with learning effects, European Journal of Operational Research, 188 (2008) 315-329.
[5]
S. Brown, U. Yechiali, Scheduling deteriorating jobs on a single processor, Operations Research, 38 (1990) 495-498.
[6]
T.C.E. Cheng, Q. Ding, The complexity of scheduling starting time dependent tasks with release times, Information Processing Letters, 65 (1998) 75-79.
[7]
T.C.E. Cheng, W.H. Kuo, D.L. Yang, Scheduling with a position-weighted learning effect based on sum-of-logarithm-processing-times and job position, Information Sciences, 221 (2013) 490-500.
[8]
T.C.E. Cheng, G.Q. Wang, Single machine scheduling with learning effect considerations, Annals of Operations Research, 98 (2000) 273-290.
[9]
J.R. DeJong, The effects of increasing skill on cycle time and its consequences for time standards, Ergonomics, 1 (1957) 51-60.
[10]
V.R. Dondeti, B.B. Mohanty, Impact of learning and fatigue factors on single machine scheduling with penalties for tardy jobs, European Journal of Operational Research, 105 (1998) 509-524.
[11]
S. Gawiejnowicz, A note on scheduling on a single processor with speed dependent on a number of executed jobs, Information Processing Letters, 57 (1996) 297-300.
[12]
S. Gawiejnowicz, Time-dependent scheduling, Springer, Berlin, 2008.
[13]
S. Gawiejnowicz, A. Kononov, Complexity and approximability of scheduling resumable proportionally deteriorating jobs, European Journal of Operational Research, 200 (2010) 305-308.
[14]
S. Gawiejnowicz, A. Kononov, Isomorphic scheduling problems, Annals of Operations Research, 213 (2014) 131-145.
[15]
S. Gawiejnowicz, W. Kurc, L. Pankowska, Equivalent time-dependent scheduling problems, European Journal of Operational Research, 196 (2009) 919-929.
[16]
S. Gawiejnowicz, W. Kurc, L. Pankowska, Conjugate problems in time-dependent scheduling, Journal of Scheduling, 12 (2009) 543-553.
[17]
S. Gawiejnowicz, B.M.T. Lin, Scheduling time-dependent jobs under mixed deterioration, Applied Mathematics and Computation, 216 (2010) 438-447.
[18]
R.L. Graham, E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, Optimization and approximation in deterministic sequencing and scheduling: A survey, Annals of Discrete Mathematics, 5 (1979) 287-326.
[19]
J.N.D. Gupta, S.K. Gupta, Single facility scheduling with nonlinear processing times, Computers and Industrial Engineering, 14 (1988) 387-393.
[20]
G.H. Hardy, J.E. Littlewood, G. Polya, Inequalities, Cambridge University Press, London, 1967.
[21]
X. Huang, M.Z. Wang, P. Ji, Parallel machines scheduling with deteriorating and learning effects, Optimization Letters, 8 (2014) 493-500.
[22]
M. Ji, T.C.E. Cheng, Parallel-machine scheduling of simple linear deteriorating jobs, Theoretical Computer Science, 410 (2009) 3761-3768.
[23]
M. Ji, T.C.E. Cheng, Batch scheduling of simple linear deteriorating jobs on a single machine to minimize makespan, European Journal of Operational Research, 202 (2010) 90-98.
[24]
M. Ji, C.J. Hsu, D.L. Yang, Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration, Journal of Combinatorial Optimization, 26 (2013) 437-447.
[25]
M. Ji, D.L. Yao, Q.Y. Yang, T.C.E. Cheng, Machine scheduling with DeJong's learning effect, Computers & Industrial Engineering, 80 (2014) 195-200.
[26]
M.Y. Kovalyov, W. Kubiak, A fully polynomial approximation scheme for minimizing makespan of deteriorating jobs, Journal of Heuristics, 3 (1998) 287-297.
[27]
M.Y. Kovalyov, W. Kubiak, A fully polynomial approximation scheme for the weighted earliness-tardiness problem, Operations Research, 47 (1999) 757-761.
[28]
W.H. Kuo, D.L. Yang, A note on due-date assignment and single-machine scheduling with deteriorating jobs and learning effects, Journal of the Operational Research Society, 62 (2011) 206-210.
[29]
W.C. Lee, W.J. Wang, Y.R. Shiau, C.C. Wu, A single-machine scheduling problem with two-agent and deteriorating jobs, Applied Mathematical Modelling, 34 (2010) 3098-3107.
[30]
W.C. Lee, C.C. Wu, H.C. Liu, A note on single-machine makespan problem with general deteriorating function, The International Journal of Advanced Manufacturing Technology, 40 (2009) 1053-1056.
[31]
S.S. Li, C.T. Ng, T.C.E. Cheng, J. Yuan, Parallel-batch scheduling of deteriorating jobs with release dates to minimize the makespan, European Journal of Operational Research, 210 (2011) 482-488.
[32]
C. Low, W.Y. Lin, Minimizing the total completion time in a single-machine scheduling problem with a learning effect, Applied Mathematical Modelling, 35 (2011) 1946-1951.
[33]
Y.Y. Lu, C.M. Wei, J.B. Wang, Several single-machine scheduling problems with general learning effects, Applied Mathematical Modelling, 36 (2012) 5650-5656.
[34]
G. Mosheiov, Scheduling jobs under simple linear deterioration, Computers & Operations Research, 21 (1994) 653-659.
[35]
D.A. Nembhard, N. Osothsilp, Task complexity effects on between individual learning/forgetting variability, International Journal of Industrial Ergonomics, 29 (2002) 297-306.
[36]
D. Okolowski, S. Gawiejnowicz, Exact and heuristic algorithms for parallel-machine scheduling with DeJong's learning effect, Computers & Industrial Engineering, 59 (2010) 272-279.
[37]
K. Rustogi, V.A. Strusevich, Single machine scheduling with general positional deterioration and rate-modifying maintenance, Omega, 40 (2012) 791-804.
[38]
K. Rustogi, V.A. Strusevich, Combining time and position dependent effects on a single machine subject to rate-modifying activities, Omega, 42 (2014) 166-178.
[39]
M.D. Toksari, E. Güner, The common due-date early/tardy scheduling problem on a parallel machine under the effects of time-dependent learning and linear and nonlinear deterioration, Expert Systems with Applications, 37 (2010) 92-112.
[40]
J.B. Wang, Single-machine scheduling with learning effect and deteriorating jobs, Computer & Industrial Engineering, 57 (2009) 1452-1456.
[41]
J.B. Wang, Single machine scheduling with a time-dependent learning effect and deteriorating jobs, Journal of the Operational Research Society, 60 (2009) 583-586.
[42]
J.B. Wang, X. Huang, X.Y. Wang, N. Yin, L.Y. Wang, Learning effect and deteriorating jobs in the single machine scheduling problems, Applied Mathematical Modelling, 33 (2009) 3848-3853.
[43]
J.B. Wang, J.J. Wang, Scheduling jobs with a general learning effect model, Applied Mathematical Modelling, 37 (2013) 2364-2373.
[44]
X.Y. Wang, J.J. Wang, Scheduling deteriorating jobs with a learning effect on unrelated parallel machines, Applied Mathematical Modelling, 38 (2014) 5231-5238.
[45]
J.B. Wang, J.J. Wang, P. Ji, Scheduling jobs with chain precedence constraints and deteriorating jobs, Journal of the Operational Research Society, 62 (2011) 1765-1770.
[46]
T.P. Wright, Factors affecting the cost of airplanes, Journal of Aeronautical Sciences, 3 (1936) 122-128.
[47]
Y.B. Wu, M.Z. Wang, J.B. Wang, Some single-machine scheduling with both learning and deterioration effects, Applied Mathematical Modelling, 35 (2011) 3731-3736.
[48]
D.L. Yang, W.H. Kuo, Some scheduling problems with deteriorating jobs and learning effects, Computer & Industrial Engineering, 58 (2010) 25-28.
[49]
L.E. Yelle, The learning curve: Historical review and comprehensive survey, Decision Sciences, 10 (1979) 302-328.
[50]
Y.Q. Yin, T.C.E. Cheng, C.C. Wu, Scheduling with time-dependent processing times, Mathematical Problems in Engineering, 2014 (2014) 2.
[51]
Y.Q. Yin, T.C.E. Cheng, C.C. Wu, Scheduling with time-dependent processing times 2015, Mathematical Problems in Engineering (2015) 2.
[52]
Y.Q. Yin, W.H. Wu, T.C.E. Cheng, C.C. Wu, Single-machine scheduling with time-dependent and position-dependent deteriorating jobs, International Journal of Computer Integrated Manufacturing, 28 (2015) 781-790.
[53]
Y.Q. Yin, D. Xu, J.Y. Wang, Single-machine scheduling with a general sum-of-actual-processing-times based and job-position-based learning effect, Applied Mathematical Modelling, 34 (2010) 3623-3630.

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  • (2022)Single-machine multitasking scheduling with job efficiency promotionJournal of Combinatorial Optimization10.1007/s10878-021-00822-144:1(446-479)Online publication date: 1-Aug-2022
  • (2021)Scheduling parallel-batching processing machines problem with learning and deterioration effect in fuzzy environmentJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-21019640:6(12111-12124)Online publication date: 1-Jan-2021
  • (2019)A unified view of parallel machine scheduling with interdependent processing ratesJournal of Scheduling10.1007/s10951-019-00605-x22:5(499-515)Online publication date: 1-Oct-2019
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Information & Contributors

Information

Published In

cover image Computers and Industrial Engineering
Computers and Industrial Engineering  Volume 91, Issue C
January 2016
316 pages

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 01 January 2016

Author Tags

  1. DeJong's learning effect
  2. FPTAS
  3. Job deterioration
  4. Scheduling

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View all
  • (2022)Single-machine multitasking scheduling with job efficiency promotionJournal of Combinatorial Optimization10.1007/s10878-021-00822-144:1(446-479)Online publication date: 1-Aug-2022
  • (2021)Scheduling parallel-batching processing machines problem with learning and deterioration effect in fuzzy environmentJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-21019640:6(12111-12124)Online publication date: 1-Jan-2021
  • (2019)A unified view of parallel machine scheduling with interdependent processing ratesJournal of Scheduling10.1007/s10951-019-00605-x22:5(499-515)Online publication date: 1-Oct-2019
  • (2019)Scheduling parallel machine problem under general effects of deterioration and learning with past-sequence-dependent setup time: heuristic and meta-heuristic approachesSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-019-03970-z24:2(1335-1355)Online publication date: 4-Apr-2019
  • (2018)A new model of parallel-machine scheduling with integral-based learning effectComputers and Industrial Engineering10.1016/j.cie.2018.05.035121:C(189-194)Online publication date: 1-Jul-2018

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