skip to main content
10.1145/3056662.3056715acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicscaConference Proceedingsconference-collections
research-article

Minimizing makespan in a single machine scheduling problem with deteriorating jobs and learning effects

Published: 26 February 2017 Publication History

Abstract

This paper considers a single machine scheduling problem with simultaneous deteriorating jobs and learning effects. It is proved in the literature that the single machine scheduling problem with linear deterioration rate and learning effect is NP-hard in strong sense. Therefore, due to complexity of the problem finding the best sequence of jobs with minimum Makespan using Full Enumeration methods is time consuming and costly. Therefore, a new polynomial time heuristic algorithm is proposed to solve the problem in different sizes. The performance of the heuristic algorithm is evaluated against classical Smallest Deterioration Rate and Full Enumeration methods in solving various test problems. For this purpose, different measures including Percentage Relative Error and CPU_Time are considered to demonstrate the superior solution method. In addition, Single Factor ANOVA and Tukey's multiple comparison test are utilized to find significant differences in performance of the solution methods.

References

[1]
W.C. Lee, C.C. Wu, "Multi-machine scheduling with deteriorating jobs and scheduled maintenance", Appl. Math. Model., vol. 32, Mar. 2008, pp. 362--373
[2]
E. G. Coffman, Jr, M. R. Garey, D. S. Johnson, "An application of bin-packing to multiprocessor scheduling". SIAM J. on Comput, vol. 7, Feb. 1978, pp. 1--17
[3]
W.C. Lee, C.C. Wu, "A note on single-machine group scheduling problems with position-based learning effect", Appl. Math. Model., vol. 33, Apr. 2009, pp. 2159--2163
[4]
T.C.E. Cheng, C.C. Wu, W.C. Lee, "Some scheduling problems with deteriorating jobs and learning effects", Comput. and Indust. Eng, vol. 54, May. 2008, pp. 972--982
[5]
P. Liu, L. Tang, X. Zhou, "Two-agent group scheduling with deteriorating jobs on a single machine", Int. J. of Adv. Manuf. Tech, vol. 47, Mar. 2010, pp. 657--664
[6]
J.B. Wang, "Single machine scheduling with a time-dependent learning effect and deteriorating jobs", J. of the Operat. Res. Soc, vol. 60, Apr. 2009, pp. 583--586
[7]
J.B. Wang, Y. Jiang, G. Wang, 2009. "Single machine scheduling with past-sequence-dependent setup times and effects of deterioration and learning", Int. J. of Adv. Manuf. Tech, vol. 41, Apr. 2009, pp. 1221--1226
[8]
J.B. Wang, Q. Guo, 2010. "A due-date assignment problem with learning effect and deteriorating jobs", Appl. Math. Model., vol. 34, Feb. 2010, pp. 309--313
[9]
X. Huang, M.Z. Wang, J.B. Wang, "Single-machine group scheduling with both learning effects and deteriorating jobs". Comput. and Indust. Eng, vol. 60, May. 2011, pp. 750--754
[10]
J.B Wang, D. Wang, G.D. Zhang,. "Single-machine scheduling problems with both deteriorating jobs and learning effects", Appl. Math. Model., vol. 34, Oct. 2010, pp 2831--2839
[11]
J. J. Kanet, "Minimizing variation of flow time in single machine systems". Manag. Sci, vol. 27, Dec. 1981, pp. 1453--1459
[12]
J.B. Wang, M.Z. Wang,. "Single-machine scheduling with nonlinear deterioration", Opt. Lett. vol. 6, Jan. 2012, pp. 87--98.
[13]
Y. Yin, T.C.E. Cheng, L. Wan, C.C. Wu, J. Liu, "Two-agent single-machine scheduling with deteriorating jobs". Comput. and Indust. Eng, vol. 81, Mar. 2015, pp. 177--185
[14]
P. Guo, W. Chen, Y. Wang, "A general variable neighborhood search for single-machine total tardiness scheduling problem with step-deteriorating jobs", arXiv preprint arXiv:1301.7134.
[15]
C. Zhao, H. Tang, "Single machine scheduling with past-sequence-dependent setup times and deteriorating jobs". Comput. and Indust. Eng, vol. 59, Nov. 2010, pp. 663--666
[16]
S. H. Pakzad-Moghaddam, H. Mina, R. Tavakkoli-Moghaddam, "An approach for modeling a new single machine scheduling problem with deteriorating and learning effects". Comput. and Indust. Eng, vol. 78, Dec. 2014, pp. 33--43
[17]
W.C. Lee, "A note on deteriorating jobs and learning in single-machine scheduling problems". Int. J. of Bus. and Econ, vol. 3, Jan. 2004, pp. 83--89.
[18]
M. Ji, C.J. Hsu, D. L. Yang, "Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration". J. of Comb. Optim, (3), vol. 26, Oct. 2013, pp. 437--447
[19]
A. Bachman, A. Janiak, "Minimizing maximum lateness under linear deterioration". Euro. J. of Oper. Res, (3), vol. 126, Nov. 2000, pp. 557--566
[20]
D. Wang, J.B. Wang, "Single-machine scheduling with simple linear deterioration to minimize earliness penalties". The Int. J. of Adv. Manuf. Tech, (1--4), vol. 46, Jan. 2010, pp. 285--290
[21]
S. Khalilpourazari, S.H.R. Pasandideh, "Multi-item EOQ model with nonlinear unit holding cost and partial backordering: moth-flame optimization algorithm". J of Indust. and Prod. Eng, Jun 2016, pp. 1--10
[22]
S. Khalilpourazari, S.H.R. Pasandideh, S.T.A. Niaki, "Optimization of multi-product economic production quantity model with partial backordering and physical constraints: SQP, SFS, SA, and WCA". Appl. Soft. Comput. Sep 2016
[23]
S. Khalilpourazari, M. Mohammadi, "Optimization of closed-loop Supply chain network design: a Water Cycle Algorithm approach". 12th Int. Conf. on Indust. Eng. IEEE. Jan. 2016, pp. 41--45
[24]
S. Khalilpourazari, S.H.R. Pasandideh, "Bi-objective optimization of multi-product EPQ model with backorders, rework process and random defective rate". 12th Int. Conf. on Indust. Eng. IEEE. Jan. 2016b, pp. 36--40
[25]
S. Khalilpourazari, S. Khalilpourazary, "A lexicographic weighted Tchebycheff approach for multi-constrained multi-objective optimization of the surface grinding process". Eng. Optimiz. Aug 2016, pp. 1--18
[26]
S. Khalilpourazari, S. Khalilpourazary, "Optimization of production time in the multi-pass milling process via a Robust Grey Wolf Optimizer". Neural Comput & Applic. 2016

Cited By

View all
  • (2024)Assessing Column Stability: A Comparative Study of Machine Learning Regression Models for Shear Strength PredictionJournal of Turkish Operations Management10.56554/jtom.14012618:1(279-289)Online publication date: 18-Jul-2024
  • (2024)An integrated vendor-buyer model with sustainability and remanufacturing of returned productRAIRO - Operations Research10.1051/ro/202410458:4(3291-3319)Online publication date: 15-Aug-2024
  • (2023)Sustainable inventory model with environmental impact for non-instantaneous deteriorating items with composite demandRAIRO - Operations Research10.1051/ro/202300557:1(237-261)Online publication date: 22-Feb-2023
  • Show More Cited By

Index Terms

  1. Minimizing makespan in a single machine scheduling problem with deteriorating jobs and learning effects

      Recommendations

      Comments

      Information & Contributors

      Information

      Published In

      cover image ACM Other conferences
      ICSCA '17: Proceedings of the 6th International Conference on Software and Computer Applications
      February 2017
      339 pages
      ISBN:9781450348577
      DOI:10.1145/3056662
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 26 February 2017

      Permissions

      Request permissions for this article.

      Check for updates

      Author Tags

      1. deteriorating jobs
      2. heuristic algorithm
      3. learning effects
      4. single machine scheduling

      Qualifiers

      • Research-article

      Conference

      ICSCA 2017

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • Downloads (Last 12 months)4
      • Downloads (Last 6 weeks)0
      Reflects downloads up to 19 Feb 2025

      Other Metrics

      Citations

      Cited By

      View all
      • (2024)Assessing Column Stability: A Comparative Study of Machine Learning Regression Models for Shear Strength PredictionJournal of Turkish Operations Management10.56554/jtom.14012618:1(279-289)Online publication date: 18-Jul-2024
      • (2024)An integrated vendor-buyer model with sustainability and remanufacturing of returned productRAIRO - Operations Research10.1051/ro/202410458:4(3291-3319)Online publication date: 15-Aug-2024
      • (2023)Sustainable inventory model with environmental impact for non-instantaneous deteriorating items with composite demandRAIRO - Operations Research10.1051/ro/202300557:1(237-261)Online publication date: 22-Feb-2023
      • (2022)Impacts of green and preservation technology investments on a sustainable EPQ model during COVID-19 pandemicRAIRO - Operations Research10.1051/ro/202210256:4(2245-2275)Online publication date: 25-Jul-2022
      • (2022)Viable supply chain with vendor-managed inventory approach by considering blockchain, risk and robustnessAnnals of Operations Research10.1007/s10479-022-05119-y344:2-3(575-594)Online publication date: 16-Dec-2022
      • (2022)Integrated multistage supply chain inventory model of multiple retailers with imperfect production and inspection systemsSoft Computing10.1007/s00500-022-07490-126:22(12057-12075)Online publication date: 22-Sep-2022
      • (2021)Designing a hybrid reinforcement learning based algorithm with application in prediction of the COVID-19 pandemic in QuebecAnnals of Operations Research10.1007/s10479-020-03871-7312:2(1261-1305)Online publication date: 3-Jan-2021
      • (2020)Resource allocation flowshop scheduling with learning effect and slack due window assignmentJournal of Industrial & Management Optimization10.3934/jimo.2020096(0)Online publication date: 2020
      • (2020)Production scheduling with autonomous and induced learningInternational Journal of Production Research10.1080/00207543.2020.174081659:9(2817-2837)Online publication date: 23-Mar-2020
      • (2020)Designing energy-efficient high-precision multi-pass turning processes via robust optimization and artificial intelligenceJournal of Intelligent Manufacturing10.1007/s10845-020-01648-0Online publication date: 1-Sep-2020
      • Show More Cited By

      View Options

      Login options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Figures

      Tables

      Media

      Share

      Share

      Share this Publication link

      Share on social media