Skip to main content
Log in

A naive optimization method for multi-line systems with alternative machines

  • Research Article
  • Published:
Frontiers of Mechanical Engineering Aims and scope Submit manuscript

Abstract

The scheduling of parallel machines and the optimization of multi-line systems are two hotspots in the field of complex manufacturing systems. When the two problems are considered simultaneously, the resulting problem is much more complex than either of them. Obtaining sufficient training data for conventional databased optimization approaches is difficult because of the high diversity of system structures. Consequently, optimization of multi-line systems with alternative machines requires a simple mechanism and must be minimally dependent on historical data. To define a general multi-line system with alternative machines, this study introduces the capability vector and matrix and the distribution vector and matrix. A naive optimization method is proposed in accordance with classic feedback control theory, and its key approaches are introduced. When a reasonable target value is provided, the proposed method can realize closedloop optimization to the selected objective performance. Case studies are performed on a real 5/6-inch semiconductor wafer manufacturing facility and a simulated multiline system constructed on the basis of the MiniFAB model. Results show that the proposed method can effectively and efficiently optimize various objective performance. The method demonstrates a potential for utilization in multi-objective optimization.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Becker C, Scholl A. Balancing assembly lines with variable parallel workplaces: Problem definition and effective solution procedure. European Journal of Operational Research, 2009, 199(2): 359–374

    Article  Google Scholar 

  2. Scholl A, Boysen N. Designing parallel assembly lines with split workplaces: Model and optimization procedure. International Journal of Production Economics, 2009, 119(1): 90–100

    Article  Google Scholar 

  3. Scholl A, Fliedner M, Boysen N. Absalom: Balancing assembly lines with assignment restrictions. European Journal of Operational Research, 2010, 200(3): 688–701

    Article  Google Scholar 

  4. Kellegöz T, Toklu B. An efficient branch and bound algorithm for assembly line balancing problems with parallel multi-manned workstations. Computers & Operations Research, 2012, 39(12): 3344–3360

    Article  Google Scholar 

  5. Ogan D, Azizoglu M. A branch and bound method for the line balancing problem in U-shaped assembly lines with equipment requirements. Journal of Manufacturing Systems, 2015, 36: 46–54

    Article  Google Scholar 

  6. Moghaddam M, Nof S Y. Real-time administration of tool sharing and best matching to enhance assembly lines balanceability and flexibility. Mechatronics, 2015, 31: 147–157

    Article  Google Scholar 

  7. Avikal S, Jain R, Mishra P K, et al. A heuristic approach for U-shaped assembly line balancing to improve labor productivity. Computers & Industrial Engineering, 2013, 64(4): 895–901

    Article  Google Scholar 

  8. Moreira M, Cordeau J, Costa A, et al. Robust assembly line balancing with heterogeneous workers. Computers & Industrial Engineering, 2015, 88: 254–263

    Article  Google Scholar 

  9. Kucukkoc I, Zhang D Z. Balancing of parallel U-shaped assembly lines. Computers & Operations Research, 2015, 64: 233–244

    Article  MathSciNet  Google Scholar 

  10. Li Z, Kucukkoc I, Nilakantan J M. Comprehensive review and evaluation of heuristics and meta-heuristics for two-sided assembly line balancing problem. Computers & Operations Research, 2017, 84: 146–161

    Article  MathSciNet  Google Scholar 

  11. Tiacci L. Simultaneous balancing and buffer allocation decisions for the design of mixed-model assembly lines with parallel workstations and stochastic task times. International Journal of Production Economics, 2015, 162: 201–215

    Article  Google Scholar 

  12. Chica M, Bautista J, Cordón O, et al. A multiobjective model and evolutionary algorithms for robust time and space assembly line balancing under uncertain demand. Omega, 2016, 58: 55–68

    Article  Google Scholar 

  13. Kim Y K, Song W S, Kim J H. A mathematical model and a genetic algorithm for two-sided assembly line balancing. Computers & Operations Research, 2009, 36(3): 853–865

    Article  Google Scholar 

  14. Chutima P, Chimklai P. Multi-objective two-sided mixed-model assembly line balancing using particle swarm optimisation with negative knowledge. Computers & Industrial Engineering, 2012, 62(1): 39–55

    Article  Google Scholar 

  15. Huang H H, Pei W, Wu H H, et al. A research on problems of mixedline production and the re-scheduling. Robotics and Computerintegrated Manufacturing, 2013, 29(3): 64–72

    Article  Google Scholar 

  16. Purnomo H D, Wee HM. Maximizing production rate and workload balancing in a two-sided assembly line using Harmony Search. Computers & Industrial Engineering, 2014, 76: 222–230

    Article  Google Scholar 

  17. Tapkan P, Ozbakir L, Baykasoglu A. Modeling and solving constrained two-sided assembly line balancing problem via bee algorithms. Applied Soft Computing, 2012, 12(11): 3343–3355

    Article  Google Scholar 

  18. Yang F, Gao K, Simon I W, et al. Decomposition methods for manufacturing system scheduling: A survey. IEEE/CAA Journal of Automatica Sinica, 2018, 5(2): 389–400

    Article  Google Scholar 

  19. Pan C R, Zhou M C, Qiao Y, et al. Scheduling cluster tools in semiconductor manufacturing: Recent advances and challenges. IEEE Transactions on Automation Science and Engineering, 2018, 15(2): 586–601

    Article  Google Scholar 

  20. Yang F J, Wu N Q, Qiao Y, et al. Optimal one-wafer cyclic scheduling of time-constrained hybrid multicluster tools via petrinets. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017, 47(11): 2920–2932

    Article  Google Scholar 

  21. Przybylski B. A new model of parallel-machine scheduling with integral-based learning effect. Computers & Industrial Engineering, 2018, 121: 189–194

    Article  Google Scholar 

  22. 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, 2012, 137(1): 1–10

    Article  Google Scholar 

  23. Ouazene Y, Yalaoui F. Identical parallel machine scheduling with time-dependent processing times. Theoretical Computer Science, 2018, 721: 70–77

    Article  MathSciNet  Google Scholar 

  24. Laleh G, Daniel G. Scheduling parallel identical machines to minimize makespan: A parallel approximation algorithm. Journal of Parallel and Distributed Computing, 2018 (in press)

    Google Scholar 

  25. Wu L, Wang S. Exact and heuristic methods to solve the parallel machine scheduling problem with multi-processor tasks. International Journal of Production Economics, 2018, 201: 26–40

    Article  Google Scholar 

  26. Cheng J, Chu F, Zhou M. An improved model for parallel machine scheduling under time-of-use electricity price. IEEE Transactions on Automation Science and Engineering, 2018, 15(2): 896–899

    Article  Google Scholar 

  27. Ding J Y, Song S, Zhang R, et al. Parallel machine scheduling under time-of-use electricity prices: New models and optimization approaches. IEEE Transactions on Automation Science and Engineering, 2016, 13(2): 1138–1154

    Article  Google Scholar 

  28. Wang L, Wang S Y, Zheng X L. A hybrid estimation of distribution algorithm for unrelated parallel machine scheduling with sequencedependent setup times. IEEE/CAA Journal of Automatica Sinica, 2016, 3(3): 235–246

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This research was supported in part by the National Natural Science Foundation of China (Grant No. 71690230/71690234) and the International S&T Cooperation Program of China (Grant No. 2017YFE0101400).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fei Qiao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kong, W., Qiao, F. & Wu, Q. A naive optimization method for multi-line systems with alternative machines. Front. Mech. Eng. 14, 377–392 (2019). https://doi.org/10.1007/s11465-019-0544-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11465-019-0544-z

Keywords

Navigation