Research Article
BibTex RIS Cite
Year 2019, Volume: 2 Issue: 1, 1 - 15, 02.08.2019

Abstract

References

  • [1] O.A. Arık, M.D. Toksarı, Multi-objective fuzzy parallel machine scheduling problems under fuzzy job deterioration and learning effects, International Journal of Production Research 55, 2017, 1-18.
  • [2] S.E. Jayanthi, S. Karthigeyan, S. Anusuya, Minimizing earliness and tardiness costs with fuzzy processing times and fuzzy due dates in single machine scheduling using QPSO, International Journal of Pure and Applied Mathematics,115(8), 2017, Special Issue,437-442.
  • [3] S. Niroomand, A. Hadi-Vencheh, N. Mirzaei, S. Molla-Alizadeh-Zavardehi, Hybrid greedy algorithms for fuzzy tardiness/earliness minimisation in a special single machine scheduling problem: case study and generalisation, International Journal of Computer Integrated Manufacturing,29(8), 2016, 870-888.
  • [4] J.C. Geng, Z. Cui, X.S. Gu, Scatter search based particle swarm optimization algorithm for earliness/tardiness flowshop scheduling with uncertainty, International Journal of Automation and Computing, 13(3), 2016, 285-295.
  • [5] S. Kir and H.R. Yazgan, A sequence dependent single machine scheduling problem with fuzzy axiomatic design for the penalty costs, Computers and Industrial Engineering, 92,2016, 95-104.
  • [6] J. Li, J. Zhang, A 2-Approximation algorithm for the single machine due date assignment scheduling problem in fuzzy environment to minimize the total costs, Proceedings - 2015 11th International Conference on Computational Intelligence and Security, CIS 2015, 2016.
  • [7] J. Behnamian, S.M.T. Fatemi Ghomi, Multi-objective fuzzy multiprocessor flowshop scheduling, Applied Soft Computing Journal,21, 2014, 139-148.
  • [8] O. Engin, M.K. Yılmaz, M.E. Baysal, A.,Solving fuzzy job shop scheduling problems with availability constraints using a scatter search method, Journal of Multiple-Valued Logic and Soft Computing,21(3-4), 2013,317-334.
  • [9] P. Yan, M.-H. Jiao, L.-Q. Zhao, Scheduling a fuzzy flowshop problem to minimize weighted earliness-tardiness, 25th Chinese Control and Decision Conference, CCDC 2013.
  • [10] Z. Xu, X. Gu, Research on zero-wait scheduling problems in multiproduct processes with due dates, Communications in Computer and Information Science, 355, 2013, 322-332.
  • [11] J. Li, X. Yuan, E.S. Lee, D. Xu, Setting due dates to minimize the total weighted possibilistic mean value of the weighted earlinesstardiness costs on a single ma-chine,Computers and Mathematics with Applications, 62(11), 2011,4126-4139.
  • [12] B.Y. Lu, C.F. Huang, Z.H. Jia, Research on multi-objective scheduling a single batch-processing machine with non-identical job sizes under fuzzy environment, Kongzhi yu Juece/Control and Decision, 26(11), 2011,1675-1684.
  • [13] H.P. Wang, L. Shi, Improved genetic algorithm for solving the fuzzy multiobjective Job Shop problem, Proceedings - 2010 IEEE 17th International Conference on Industrial Engineering and Engineering Management.
  • [14] C. Wang, Y. Zhao, S. Wei, Genetic algorithm for the single machine earliness and tardiness scheduling problem with fuzzy processing times, Proceedings of the 29th Chinese Control Conference,2010.
  • [15] B. Wang, Q. Li, X. Yang, X. Wang, Robust and satisfactory Job Shop scheduling under fuzzy processing times and flexible due dates, 2010 IEEE International Conference on Automation and Logistics.
  • [16] H.C. Wu, Solving the fuzzy earliness and tardiness in scheduling problems by using genetic algorithms, Expert Systems with Applications,37(7), 2010,4860-4866.
  • [17] J. Li, K. Sun, D. Xu, H. Li, Single machine due date assignment scheduling problem with customer service level in fuzzy environment, Applied Soft Computing Journal,10(3), 2010, 849-858.
  • [18] P.J. Lai, H.C. Wu, Using genetic algorithms to solve fuzzy flow shop scheduling problems based on possibility and necessity measures, International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems,16(3), 2008,409-433.
  • [19] Y. Dong, One machine fuzzy scheduling to minimize total weighted tardiness, earliness, and recourse cost, International Journal of Smart Engineering System Design,5(3),2003,135-147.
  • [20] S.S. Lam, X. Cai, Earliness and tardiness scheduling with a fuzzy due date and job dependent weights, Journal of the Chinese Institute of Industrial Engineers,17(5), 2000,477-487.
  • [21] S.S. Lam, X. Cai, Early-tardy scheduling under fuzzy due dates using a genetic algorithm, Proceedings of the 1999 Congress on Evolutionary Computation, CEC 1999,2,1079-1084
  • [22] T. Murata, M. Gen, H. Ishibuchi, Multi-objective scheduling with fuzzy due-date, Computers and Industrial Engineering,35(3-4), 1998, 439-442
  • [23] H. Ishibuchi, T. Murata, K.H. Lee, Relations between conventional scheduling problems and fuzzy scheduling problems, 1996, Proceedings of the IEEE Conference on Decision and Control.

Dissatisfaction levels of earliness and tardiness durations by relaxing common due date on single machine scheduling problems

Year 2019, Volume: 2 Issue: 1, 1 - 15, 02.08.2019

Abstract

This
paper investigates single machine earliness/tardiness problem considering the
decision maker’s tolerances for earliness and tardiness durations in case of a
restrictive common due date. In many classical or basic earliness/tardiness
problems, due dates are accepted as deterministic or rigid numbers. In this
paper, common due date in a single machine scheduling problem is relaxed with
lower and upper bounds and these bounds are used for illustrating the decision
maker’s tolerances or satisfaction levels by using fuzzy sets. As a
complementary set of satisfaction levels, dissatisfaction levels can be encoded
with fuzzy sets. Then, this paper uses dissatisfaction levels in order to
introduce a new objective criterion that minimizes the products of earliness
and tardiness durations with dissatisfaction levels.

References

  • [1] O.A. Arık, M.D. Toksarı, Multi-objective fuzzy parallel machine scheduling problems under fuzzy job deterioration and learning effects, International Journal of Production Research 55, 2017, 1-18.
  • [2] S.E. Jayanthi, S. Karthigeyan, S. Anusuya, Minimizing earliness and tardiness costs with fuzzy processing times and fuzzy due dates in single machine scheduling using QPSO, International Journal of Pure and Applied Mathematics,115(8), 2017, Special Issue,437-442.
  • [3] S. Niroomand, A. Hadi-Vencheh, N. Mirzaei, S. Molla-Alizadeh-Zavardehi, Hybrid greedy algorithms for fuzzy tardiness/earliness minimisation in a special single machine scheduling problem: case study and generalisation, International Journal of Computer Integrated Manufacturing,29(8), 2016, 870-888.
  • [4] J.C. Geng, Z. Cui, X.S. Gu, Scatter search based particle swarm optimization algorithm for earliness/tardiness flowshop scheduling with uncertainty, International Journal of Automation and Computing, 13(3), 2016, 285-295.
  • [5] S. Kir and H.R. Yazgan, A sequence dependent single machine scheduling problem with fuzzy axiomatic design for the penalty costs, Computers and Industrial Engineering, 92,2016, 95-104.
  • [6] J. Li, J. Zhang, A 2-Approximation algorithm for the single machine due date assignment scheduling problem in fuzzy environment to minimize the total costs, Proceedings - 2015 11th International Conference on Computational Intelligence and Security, CIS 2015, 2016.
  • [7] J. Behnamian, S.M.T. Fatemi Ghomi, Multi-objective fuzzy multiprocessor flowshop scheduling, Applied Soft Computing Journal,21, 2014, 139-148.
  • [8] O. Engin, M.K. Yılmaz, M.E. Baysal, A.,Solving fuzzy job shop scheduling problems with availability constraints using a scatter search method, Journal of Multiple-Valued Logic and Soft Computing,21(3-4), 2013,317-334.
  • [9] P. Yan, M.-H. Jiao, L.-Q. Zhao, Scheduling a fuzzy flowshop problem to minimize weighted earliness-tardiness, 25th Chinese Control and Decision Conference, CCDC 2013.
  • [10] Z. Xu, X. Gu, Research on zero-wait scheduling problems in multiproduct processes with due dates, Communications in Computer and Information Science, 355, 2013, 322-332.
  • [11] J. Li, X. Yuan, E.S. Lee, D. Xu, Setting due dates to minimize the total weighted possibilistic mean value of the weighted earlinesstardiness costs on a single ma-chine,Computers and Mathematics with Applications, 62(11), 2011,4126-4139.
  • [12] B.Y. Lu, C.F. Huang, Z.H. Jia, Research on multi-objective scheduling a single batch-processing machine with non-identical job sizes under fuzzy environment, Kongzhi yu Juece/Control and Decision, 26(11), 2011,1675-1684.
  • [13] H.P. Wang, L. Shi, Improved genetic algorithm for solving the fuzzy multiobjective Job Shop problem, Proceedings - 2010 IEEE 17th International Conference on Industrial Engineering and Engineering Management.
  • [14] C. Wang, Y. Zhao, S. Wei, Genetic algorithm for the single machine earliness and tardiness scheduling problem with fuzzy processing times, Proceedings of the 29th Chinese Control Conference,2010.
  • [15] B. Wang, Q. Li, X. Yang, X. Wang, Robust and satisfactory Job Shop scheduling under fuzzy processing times and flexible due dates, 2010 IEEE International Conference on Automation and Logistics.
  • [16] H.C. Wu, Solving the fuzzy earliness and tardiness in scheduling problems by using genetic algorithms, Expert Systems with Applications,37(7), 2010,4860-4866.
  • [17] J. Li, K. Sun, D. Xu, H. Li, Single machine due date assignment scheduling problem with customer service level in fuzzy environment, Applied Soft Computing Journal,10(3), 2010, 849-858.
  • [18] P.J. Lai, H.C. Wu, Using genetic algorithms to solve fuzzy flow shop scheduling problems based on possibility and necessity measures, International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems,16(3), 2008,409-433.
  • [19] Y. Dong, One machine fuzzy scheduling to minimize total weighted tardiness, earliness, and recourse cost, International Journal of Smart Engineering System Design,5(3),2003,135-147.
  • [20] S.S. Lam, X. Cai, Earliness and tardiness scheduling with a fuzzy due date and job dependent weights, Journal of the Chinese Institute of Industrial Engineers,17(5), 2000,477-487.
  • [21] S.S. Lam, X. Cai, Early-tardy scheduling under fuzzy due dates using a genetic algorithm, Proceedings of the 1999 Congress on Evolutionary Computation, CEC 1999,2,1079-1084
  • [22] T. Murata, M. Gen, H. Ishibuchi, Multi-objective scheduling with fuzzy due-date, Computers and Industrial Engineering,35(3-4), 1998, 439-442
  • [23] H. Ishibuchi, T. Murata, K.H. Lee, Relations between conventional scheduling problems and fuzzy scheduling problems, 1996, Proceedings of the IEEE Conference on Decision and Control.
There are 23 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Oğuzhan Ahmet Arık 0000-0002-7088-2104

Publication Date August 2, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Arık, O. A. (2019). Dissatisfaction levels of earliness and tardiness durations by relaxing common due date on single machine scheduling problems. Journal of Multidisciplinary Modeling and Optimization, 2(1), 1-15.
AMA Arık OA. Dissatisfaction levels of earliness and tardiness durations by relaxing common due date on single machine scheduling problems. jmmo. August 2019;2(1):1-15.
Chicago Arık, Oğuzhan Ahmet. “Dissatisfaction Levels of Earliness and Tardiness Durations by Relaxing Common Due Date on Single Machine Scheduling Problems”. Journal of Multidisciplinary Modeling and Optimization 2, no. 1 (August 2019): 1-15.
EndNote Arık OA (August 1, 2019) Dissatisfaction levels of earliness and tardiness durations by relaxing common due date on single machine scheduling problems. Journal of Multidisciplinary Modeling and Optimization 2 1 1–15.
IEEE O. A. Arık, “Dissatisfaction levels of earliness and tardiness durations by relaxing common due date on single machine scheduling problems”, jmmo, vol. 2, no. 1, pp. 1–15, 2019.
ISNAD Arık, Oğuzhan Ahmet. “Dissatisfaction Levels of Earliness and Tardiness Durations by Relaxing Common Due Date on Single Machine Scheduling Problems”. Journal of Multidisciplinary Modeling and Optimization 2/1 (August 2019), 1-15.
JAMA Arık OA. Dissatisfaction levels of earliness and tardiness durations by relaxing common due date on single machine scheduling problems. jmmo. 2019;2:1–15.
MLA Arık, Oğuzhan Ahmet. “Dissatisfaction Levels of Earliness and Tardiness Durations by Relaxing Common Due Date on Single Machine Scheduling Problems”. Journal of Multidisciplinary Modeling and Optimization, vol. 2, no. 1, 2019, pp. 1-15.
Vancouver Arık OA. Dissatisfaction levels of earliness and tardiness durations by relaxing common due date on single machine scheduling problems. jmmo. 2019;2(1):1-15.