Skip to main content

Minimizing Tardiness in Stochastic Flexible Job Shop Problem

  • Conference paper
  • First Online:
Innovations in Bio-Inspired Computing and Applications (IBICA 2020)

Abstract

In this paper, Flexible Job Shop Scheduling Problem (FJSP) with parallel batch processing machine is investigated. The problem is to find the best solution for assign jobs to machines and batch’s processing sequence to minimizing tardiness. First a Mixed Integer Programming (MIP) formulation is proposed for the first time. Primarily proposes solution method is based on the genetic algorithm to solve the deterministic problem. The results obtained from the computational experiments validate the effectiveness of the proposed method. In addition, as the scheduling is affected by uncertain conditions, a simulation-based optimization algorithm is developed to tackle these uncertainties. This algorithm benefits from the fast computational time and solution quality of the proposed genetic algorithm, combined with simulation technique. The uncertain factors considered include the order arrival time, rework rate. In this approach, a simulation model is used to investigate the effect of possible conditions on the responses of the genetic algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Pinedo, M., Hadavi, K.: Scheduling: theory, algorithms and systems development. In: Operations Research Proceedings 1991, pp. 35–42. Springer, Berlin (1991)

    Google Scholar 

  2. Manne, A.S.: On the job-shop scheduling problem. Oper. Res. 8(2), 219–223 (1960)

    Article  MathSciNet  Google Scholar 

  3. Amirkhani, F., Amiri, A., Sahraeian, R.: A new method based on simulation-optimization approach to find optimal solution in dynamic job-shop scheduling problem with breakdown and rework. Prod. Oper. Manage. 8, 157–174 (2017)

    Google Scholar 

  4. Ak, B., Koc, E.: A guide for genetic algorithm based on parallel machine scheduling and flexible job-shop scheduling. Procedia Soc. Behav. Sci. 62, 817–823 (2012)

    Article  Google Scholar 

  5. Kaplanoğlu, V.: An object-oriented approach for multi-objective flexible job-shop scheduling problem. Expert Syst. Appl. 45, 71–84 (2016)

    Article  Google Scholar 

  6. Singh, M.R., Mahapatra, S.S.: A quantum behaved particle swarm optimization for flexible job shop scheduling. Comput. Ind. Eng. 93, 36–44 (2016)

    Article  Google Scholar 

  7. Wang, X.J., Choi, S.H.: Impacts of carbon emission reduction mechanisms on uncertain make-to-order manufacturing. Int. J. Prod. Res. 54(11), 3311–3328 (2016)

    Article  Google Scholar 

  8. Nie, L., Gao, L., Li, P., Li, X.: A GEP-based reactive scheduling policies constructing approach for dynamic flexible job shop scheduling problem with job release dates. J. Intell. Manuf. 24(4), 763–774 (2013)

    Article  Google Scholar 

  9. Kundakcı, N., Kulak, O.: Hybrid genetic algorithms for minimizing make-span in dynamic job shop scheduling problem. Comput. Ind. Eng. 96, 31–51 (2016)

    Article  Google Scholar 

  10. Ham, A.: Flexible job shop scheduling problem for parallel batch processing machine with compatible job families. Appl. Math. Model. 45, 551–562 (2017)

    Article  MathSciNet  Google Scholar 

  11. Roshanaei, V., Azab, A., ElMaraghy, H.: Mathematical modelling and a meta-heuristic for flexible job shop scheduling. Int. J. Prod. Res. 51(20), 6247–6274 (2013)

    Article  Google Scholar 

  12. Nikolopoulou, A., Ierapetritou, M.G.: Hybrid simulation based optimization approach for supply chain management. Comput. Chem. Eng. 47, 183–193 (2012)

    Article  Google Scholar 

  13. Gray, G.A., Fowler, K., Griffin, J.D.: Hybrid optimization schemes for simulation-based problems. Procedia Comput. Sci. 1(1), 1349–1357 (2010)

    Article  Google Scholar 

  14. Kulkarni, K., Venkateswaran, J.: Hybrid approach using simulation-based optimisation for job shop scheduling problems. J. Simul. 9(4), 312–324 (2015)

    Article  Google Scholar 

  15. Sharma, P., Jain, A.: Performance analysis of dispatching rules in a stochastic dynamic job shop manufacturing system with sequence-dependent setup times: Simulation approach. CIRP J. Manuf. Sci. Technol. 10, 110–119 (2015)

    Article  Google Scholar 

  16. Zhang, R., Ong, S.K., Nee, A.Y.: A simulation-based genetic algorithm approach for remanufacturing process planning and scheduling. Appl. Soft Comput. 37, 521–532 (2015)

    Article  Google Scholar 

  17. Goodarzian, F., Shishebori, D., Nasseri, H., Dadvar, F.: A bi-objective production-distribution problem in a supply chain network under grey flexible conditions. https://doi.org/10.1051/ro/202011

  18. Sahebjamnia, N., Goodarzian, F., Hajiaghaei-Keshteli, M.: Optimization of Multi-period Three-echelon Citrus Supply Chain Problem. J. Optim. Ind. Eng. 13(1), 39–53 (2020)

    Google Scholar 

  19. Goodarzian, F., Hosseini-Nasab, H.: Applying a fuzzy multi-objective model for a production–distribution network design problem by using a novel self-adoptive evolutionary algorithm. Int. J. Syst. Sci. Oper. Logist. 8, 1–22 (2019)

    Google Scholar 

  20. Fakhrzad, M.B., Goodarzian, F.: A fuzzy multi-objective programming approach to develop a green closed-loop supply chain network design problem under uncertainty: modifications of imperialist competitive algorithm. RAIRO-Oper. Res. 53(3), 963–990 (2019)

    Article  MathSciNet  Google Scholar 

  21. Fakhrzad, M.B., Talebzadeh, P., Goodarzian, F.: Mathematical formulation and solving of green closed-loop supply chain planning problem with production, distribution and transportation reliability. Int. J. Eng. 31(12), 2059–2067 (2018)

    Google Scholar 

  22. Goodarzian, F., Hosseini-Nasab, H., Muñuzuri, J., & Fakhrzad, M. B. (2020). A multi-objective pharmaceutical supply chain network based on a robust fuzzy model: A comparison of meta-heuristics. Applied Soft Computing, 106331

    Google Scholar 

  23. Fakhrzad, M.B., Goodarzian, F., Golmohammadi, A.M.: Addressing a fixed charge transportation problem with multi-route and different capacities by novel hybrid meta-heuristics. J. Ind. Syst. Eng. 12(1), 167–184 (2019)

    Google Scholar 

  24. Goodarzian, F., Hosseini-Nasab, H., Fakhrzad, M.B.: A multi-objective sustainable medicine supply chain network design using a novel hybrid multi-objective metaheuristic algorithm. Int. J. Eng. 33(10), 1986–1995 (2020)

    Google Scholar 

  25. Fakhrzad, M.B., Goodarzian, F.: A new multi-objective mathematical model for a Citrus supply chain network design: Metaheuristic algorithms. J. Optim. Ind. Eng. (2020). https://doi.org/10.22094/JOIE.2020.570636.1571

    Article  MATH  Google Scholar 

  26. Fathollahi-Fard, A.M., Ahmadi, A., Goodarzian, F., Cheikhrouhou, N.: A bi-objective home healthcare routing and scheduling problem considering patients’ satisfaction in a fuzzy environment. Appl. Soft Comput. 93, 106385 (2020)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ajith Abraham .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Nekouei-Shahraki, M., Abraham, A., Lotfi, M.M. (2021). Minimizing Tardiness in Stochastic Flexible Job Shop Problem. In: Abraham, A., Sasaki, H., Rios, R., Gandhi, N., Singh, U., Ma, K. (eds) Innovations in Bio-Inspired Computing and Applications. IBICA 2020. Advances in Intelligent Systems and Computing, vol 1372. Springer, Cham. https://doi.org/10.1007/978-3-030-73603-3_8

Download citation

Publish with us

Policies and ethics