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Sıra bağımlı hazırlık süreli özdeş paralel makine çizelgeleme problemi için yeni çözüm gösterimleri

Year 2023, Volume: 38 Issue: 2, 1041 - 1054, 07.10.2022
https://doi.org/10.17341/gazimmfd.815942

Abstract

Makine çizelgeleme problemleri teorik olarak ve uygulamada sıklıkla karşılaşılan problemler arasındadır. Bu konuda literatürde yer alan çalışmaların önemli bir bölümünde problemin tek amaçlı olarak ele alındığı görülmektedir. Tek amaçlı yaklaşım teorik anlamda problemlerin daha kolay çözülebilmesini sağlasa da gerçek hayat problemlerinin hemen hepsinin çok amaçlı özellik göstermesinden dolayı çoğu zaman gerçekçi çözümler sunamamaktadır. Bu çalışmada, ilişkisiz paralel makine çizelgeleme problemi çok amaçlı olarak ele alınmıştır. Ele alınan amaçlar son işin tamamlanma zamanının ve toplam gecikmenin enküçüklenmesidir. Amaçların birleştirilmesinde genişletilmiş E-kısıt ve sözlüksel ağırlıklandırılmış Tchebycheff yöntemleri kullanılmıştır. Elde edilen çözümler kullanılarak yöntemlerin performansı karşılaştırılmıştır.

References

  • [1] Allahverdi A., Gupta J., Aldowaisan T., A review of scheduling involving setup considerations, Omega The International Journal of Management Science, 27, 219-239, 1999.
  • [2] Xi Y., Jang J., Scheduling jobs on identical parallel machines with unequal future ready time and sequence dependent setup: An experimental study, International Journal of Production Economics, 137(1), 1-10, 2012.
  • [3] Yang W.H, Liao C.J., Survey of scheduling research involving setup times, International Journal of Systems Science, 30, 143-155, 1999.
  • [4] Lee Y., Pinedo M., Scheduling Jobs on Parallel Machines with Sequence Dependent Setup Times, European Journal of Operational Research, 100(3), 464-474, 1997.
  • [5] Min L., Cheng W., A genetic algorithm for minimizing the makespan in the case of scheduling identical parallel machines, Artificial Intelligence in Engineering, 13(4), 399-403, 1999.
  • [6] Tahar D.N., Yalaoui F., Chu C., Amodeo L., A Linear Programming Approach for Identical Parallel Machine Scheduling with job Splitting and Sequence-Dependent Setup Times, International Journal of Production Economics, 99 (1), 63–73, 2006.
  • [7] Lee W.C., Wu C.C., Chen P., A Simulated Annealing Approach to Makespan Minimization on Identical Parallel Machines, The International Journal of Advanced Manufacturing Technology, 31(3-4), 328–334, 2006.
  • [8] Biskup D., Herrmann J., Gupta J.N.D., Scheduling Identical Parallel Machines to Minimize Total Tardiness, International Journal of Production Economics, 115(1), 134–142, 2008.
  • [9] Tanaka S., Araki M., A Branch-and-Bound Algorithm with Lagrangian Relaxation to Minimize Total Tardiness on Identical Parallel Machines, International Journal of Production Economics, 113(1), 446–458, 2008.
  • [10] Chang P.C., Chen S.H., Integrating Dominance Properties with Genetic Algorithms for Parallel Machine Scheduling Problems with Setup Times, Applied Soft Computing, 11(1), 1263–1274, 2011.
  • [11] Wang X., Cheng T.C.E., A Heuristic for Scheduling Jobs on two Identical Parallel Machines with a Machine Availability Constraint, International Journal of Production Economics, 161, 74–82, 2015.
  • [12] Beezão A. C., Cordeau J.F., Laporte G. Yanasee H.H., Scheduling Identical Parallel Machines with Tooling Constraints, European Journal of Operational Research, 257 (3), 834–844, 2017.
  • [13] Labbi W., Boudhar M., Oulamara A., Scheduling Two Identical Parallel Machines with Preparation Constraints, International Journal of Production Research, 55(6), 1531–1548, 2017.
  • [14] Chaudhry I.A., Elbadawi I.A., Minimisation of total tardiness for identical parallel machine scheduling using genetic algorithm, Sadhana, 42(1), 11-21, 2017.
  • [15] Wang S., Wang X., Yu J., Ma S., Liu M., Bi-objective identical parallel machine scheduling to minimize total energy consumption and makespan, Journal of Cleaner Production, 193, 424-440, 2018.
  • [16] Lee C.H., A Dispatching Rule and a Random Iterated Greedy Metaheuristic for Identical Parallel Machine Scheduling to Minimize Total Tardiness, International Journal of Production Research, 56(6), 2292–2308, 2018.
  • [17] Kim J.G., Song S., Jeong B., Minimising total tardiness for the identical parallel machine scheduling problem with splitting jobs and sequence-dependent setup times, International Journal of Production Research, 5(6), 1628-1643, 2020.
  • [18] Holland J. H., Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control and Artificial Intelligence, Ann Arbor, MIT Press Cambridge, 1992.
  • [19] Goldberg D.E., Genetic algorithms in search, optimization, and machine learning, Reading, MA: Addison-Wesley, 1989.
  • [20] Cheng R., Gen M., Minmax earliness/tardiness scheduling in identical parallel machine system using genetic algorithm, International Journal of Computers and Industrial Engineering, 29(1-4), 513-517, 1995.
  • [21] Bean J., Genetic algorithms and random keys for sequencing and optimization, ORSA Journal on Computing, 6(2), 154-160, 1994.
  • [22] Hoare C., Algorithm 64: Quicksort, Communications of the ACM, 4(7), 321, 1961.
Year 2023, Volume: 38 Issue: 2, 1041 - 1054, 07.10.2022
https://doi.org/10.17341/gazimmfd.815942

Abstract

References

  • [1] Allahverdi A., Gupta J., Aldowaisan T., A review of scheduling involving setup considerations, Omega The International Journal of Management Science, 27, 219-239, 1999.
  • [2] Xi Y., Jang J., Scheduling jobs on identical parallel machines with unequal future ready time and sequence dependent setup: An experimental study, International Journal of Production Economics, 137(1), 1-10, 2012.
  • [3] Yang W.H, Liao C.J., Survey of scheduling research involving setup times, International Journal of Systems Science, 30, 143-155, 1999.
  • [4] Lee Y., Pinedo M., Scheduling Jobs on Parallel Machines with Sequence Dependent Setup Times, European Journal of Operational Research, 100(3), 464-474, 1997.
  • [5] Min L., Cheng W., A genetic algorithm for minimizing the makespan in the case of scheduling identical parallel machines, Artificial Intelligence in Engineering, 13(4), 399-403, 1999.
  • [6] Tahar D.N., Yalaoui F., Chu C., Amodeo L., A Linear Programming Approach for Identical Parallel Machine Scheduling with job Splitting and Sequence-Dependent Setup Times, International Journal of Production Economics, 99 (1), 63–73, 2006.
  • [7] Lee W.C., Wu C.C., Chen P., A Simulated Annealing Approach to Makespan Minimization on Identical Parallel Machines, The International Journal of Advanced Manufacturing Technology, 31(3-4), 328–334, 2006.
  • [8] Biskup D., Herrmann J., Gupta J.N.D., Scheduling Identical Parallel Machines to Minimize Total Tardiness, International Journal of Production Economics, 115(1), 134–142, 2008.
  • [9] Tanaka S., Araki M., A Branch-and-Bound Algorithm with Lagrangian Relaxation to Minimize Total Tardiness on Identical Parallel Machines, International Journal of Production Economics, 113(1), 446–458, 2008.
  • [10] Chang P.C., Chen S.H., Integrating Dominance Properties with Genetic Algorithms for Parallel Machine Scheduling Problems with Setup Times, Applied Soft Computing, 11(1), 1263–1274, 2011.
  • [11] Wang X., Cheng T.C.E., A Heuristic for Scheduling Jobs on two Identical Parallel Machines with a Machine Availability Constraint, International Journal of Production Economics, 161, 74–82, 2015.
  • [12] Beezão A. C., Cordeau J.F., Laporte G. Yanasee H.H., Scheduling Identical Parallel Machines with Tooling Constraints, European Journal of Operational Research, 257 (3), 834–844, 2017.
  • [13] Labbi W., Boudhar M., Oulamara A., Scheduling Two Identical Parallel Machines with Preparation Constraints, International Journal of Production Research, 55(6), 1531–1548, 2017.
  • [14] Chaudhry I.A., Elbadawi I.A., Minimisation of total tardiness for identical parallel machine scheduling using genetic algorithm, Sadhana, 42(1), 11-21, 2017.
  • [15] Wang S., Wang X., Yu J., Ma S., Liu M., Bi-objective identical parallel machine scheduling to minimize total energy consumption and makespan, Journal of Cleaner Production, 193, 424-440, 2018.
  • [16] Lee C.H., A Dispatching Rule and a Random Iterated Greedy Metaheuristic for Identical Parallel Machine Scheduling to Minimize Total Tardiness, International Journal of Production Research, 56(6), 2292–2308, 2018.
  • [17] Kim J.G., Song S., Jeong B., Minimising total tardiness for the identical parallel machine scheduling problem with splitting jobs and sequence-dependent setup times, International Journal of Production Research, 5(6), 1628-1643, 2020.
  • [18] Holland J. H., Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control and Artificial Intelligence, Ann Arbor, MIT Press Cambridge, 1992.
  • [19] Goldberg D.E., Genetic algorithms in search, optimization, and machine learning, Reading, MA: Addison-Wesley, 1989.
  • [20] Cheng R., Gen M., Minmax earliness/tardiness scheduling in identical parallel machine system using genetic algorithm, International Journal of Computers and Industrial Engineering, 29(1-4), 513-517, 1995.
  • [21] Bean J., Genetic algorithms and random keys for sequencing and optimization, ORSA Journal on Computing, 6(2), 154-160, 1994.
  • [22] Hoare C., Algorithm 64: Quicksort, Communications of the ACM, 4(7), 321, 1961.
There are 22 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Makaleler
Authors

Arda Takan This is me 0000-0002-9452-781X

Tuğba Saraç 0000-0002-8115-3206

Publication Date October 7, 2022
Submission Date November 1, 2020
Acceptance Date May 10, 2022
Published in Issue Year 2023 Volume: 38 Issue: 2

Cite

APA Takan, A., & Saraç, T. (2022). Sıra bağımlı hazırlık süreli özdeş paralel makine çizelgeleme problemi için yeni çözüm gösterimleri. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 38(2), 1041-1054. https://doi.org/10.17341/gazimmfd.815942
AMA Takan A, Saraç T. Sıra bağımlı hazırlık süreli özdeş paralel makine çizelgeleme problemi için yeni çözüm gösterimleri. GUMMFD. October 2022;38(2):1041-1054. doi:10.17341/gazimmfd.815942
Chicago Takan, Arda, and Tuğba Saraç. “Sıra bağımlı hazırlık süreli özdeş Paralel Makine çizelgeleme Problemi için Yeni çözüm gösterimleri”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 38, no. 2 (October 2022): 1041-54. https://doi.org/10.17341/gazimmfd.815942.
EndNote Takan A, Saraç T (October 1, 2022) Sıra bağımlı hazırlık süreli özdeş paralel makine çizelgeleme problemi için yeni çözüm gösterimleri. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 38 2 1041–1054.
IEEE A. Takan and T. Saraç, “Sıra bağımlı hazırlık süreli özdeş paralel makine çizelgeleme problemi için yeni çözüm gösterimleri”, GUMMFD, vol. 38, no. 2, pp. 1041–1054, 2022, doi: 10.17341/gazimmfd.815942.
ISNAD Takan, Arda - Saraç, Tuğba. “Sıra bağımlı hazırlık süreli özdeş Paralel Makine çizelgeleme Problemi için Yeni çözüm gösterimleri”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 38/2 (October 2022), 1041-1054. https://doi.org/10.17341/gazimmfd.815942.
JAMA Takan A, Saraç T. Sıra bağımlı hazırlık süreli özdeş paralel makine çizelgeleme problemi için yeni çözüm gösterimleri. GUMMFD. 2022;38:1041–1054.
MLA Takan, Arda and Tuğba Saraç. “Sıra bağımlı hazırlık süreli özdeş Paralel Makine çizelgeleme Problemi için Yeni çözüm gösterimleri”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, vol. 38, no. 2, 2022, pp. 1041-54, doi:10.17341/gazimmfd.815942.
Vancouver Takan A, Saraç T. Sıra bağımlı hazırlık süreli özdeş paralel makine çizelgeleme problemi için yeni çözüm gösterimleri. GUMMFD. 2022;38(2):1041-54.