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Joint production and transportation scheduling in flexible manufacturing systems

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Abstract

This work proposes an integrated formulation for the joint production and transportation scheduling problem in flexible manufacturing environments. In this type of systems, parts (jobs) need to be moved around as the production operations required involve different machines. The transportation of the parts is typically done by a limited number of Automatic Guided Vehicles (AGVs). Therefore, machine scheduling and AGV scheduling are two interrelated problems that need to be addressed simultaneously. The joint production and transportation scheduling problem is formulated as a novel mixed integer linear programming model. The modeling approach proposed makes use of two sets of chained decisions, one for the machine and another for the AGVs, which are inter-connected through the completion time constraints both for machine operations and transportation tasks. The computational experiments on benchmark problem instances using a commercial software (Gurobi) show the efficiency of the modeling approach in finding optimal solutions.

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Notes

  1. Here and hereafter, unless specified otherwise, all computational experiments and results refer to these instances.

References

  1. Abdelmaguid, T.F., Nassef, A.O., Kamal, B.A., Hassan, M.F.: A hybrid ga/heuristic approach to the simultaneous scheduling of machines and automated guided vehicles. Int. J. Prod. Res. 42(2), 267–281 (2004)

    Article  MATH  Google Scholar 

  2. Baruwa, O.T., Piera, M.A.: Identifying fms repetitive patterns for efficient search-based scheduling algorithm: a colored petri net approach. J. Manuf. Syst. 35, 120–135 (2015)

    Article  Google Scholar 

  3. Baruwa, O.T., Piera, M.A.: A coloured petri net-based hybrid heuristic search approach to simultaneous scheduling of machines and automated guided vehicles. Int. J. Prod. Res. 54(16), 4773–4792 (2016)

    Article  Google Scholar 

  4. Bilge, Ü., Ulusoy, G.: A time window approach to simultaneous scheduling of machines and material handling system in an fms. Oper. Res. 43(6), 1058–1070 (1995)

    Article  MATH  Google Scholar 

  5. Blazewicz, J., Eiselt, H.A., Finke, G., Laporte, G., Weglarz, J.: Scheduling tasks and vehicles in a flexible manufacturing system. Int. J. Flex. Manuf. Syst. 4(1), 5–16 (1991)

    Article  Google Scholar 

  6. Brucker, P., Burke, E.K., Groenemeyer, S.: A mixed integer programming model for the cyclic job-shop problem with transportation. Discrete Appl. Math. 160(13–14), 1924–1935 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  7. Deroussi, L., Gourgand, M., Tchernev, N.: A simple metaheuristic approach to the simultaneous scheduling of machines and automated guided vehicles. Int. J. Prod. Res. 46(8), 2143–2164 (2008)

    Article  MATH  Google Scholar 

  8. El Khayat, G., Langevin, A., Riopel, D.: Integrated production and material handling scheduling using mathematical programming and constraint programming. Eur. J. Oper. Res. 175(3), 1818–1832 (2006)

    Article  MATH  Google Scholar 

  9. Gnanavel Babu, A., Jerald, J., Noorul Haq, A., Muthu Luxmi, V., Vigneswaralu, T.P.: Scheduling of machines and automated guided vehicles in fms using differential evolution. Int. J. Prod. Res. 48(16), 4683–4699 (2010)

    Article  MATH  Google Scholar 

  10. I Gurobi Optimization: Gurobi optimizer reference manual [internet] (2017)

  11. Hurink, J., Knust, S.: Tabu search algorithms for job-shop problems with a single transport robot. Eur. J. Oper. Res. 162(1), 99–111 (2005)

    Article  MATH  Google Scholar 

  12. Johnson, S.C.: Hierarchical clustering schemes. Psychometrika 32(3), 241–254 (1967)

    Article  MATH  Google Scholar 

  13. Kats, V., Levner, E.: A faster algorithm for 2-cyclic robotic scheduling with a fixed robot route and interval processing times. Eur. J. Oper. Res. 209(1), 51–56 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  14. Kumar, M.V.S., Janardhana, R., Rao, C.S.P.: Simultaneous scheduling of machines and vehicles in an fms environment with alternative routing. Int. J. Adv. Manuf. Technol. 53(1), 339–351 (2011)

    Article  Google Scholar 

  15. Lacomme, P., Larabi, M., Tchernev, N.: Job-shop based framework for simultaneous scheduling of machines and automated guided vehicles. Int. J. Prod. Econ. 143(1), 24–34 (2013)

    Article  Google Scholar 

  16. Le-Anh, T., De Koster, M.B.M.: A review of design and control of automated guided vehicle systems. Eur. J. Oper. Res. 171(1), 1–23 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  17. Lenstra, J.K., Kan, A.H.G.R.: Computational complexity of discrete optimization problems. Ann. Discrete Math. 4, 121–140 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  18. Lenstra, J.K., Kan, A.H.G.: Complexity of vehicle routing and scheduling problems. Networks 11(2), 221–227 (1981)

    Article  Google Scholar 

  19. Li, X., Fung, R.Y.K.: A mixed integer linear programming solution for single hoist multi-degree cyclic scheduling with reentrance. Eng. Optim. 46(5), 704–723 (2014)

    Article  MathSciNet  Google Scholar 

  20. Nilsson, N.J.: Principles of Artificial Intelligence. Morgan Kaufmann, Burlington (1980)

    MATH  Google Scholar 

  21. Nouri, H.E., Driss, O.B., Ghédira, K.: Hybrid metaheuristics for scheduling of machines and transport robots in job shop environment. Appl. Intell. 45(3), 808–828 (2016)

    Article  Google Scholar 

  22. Nouri, H.E., Driss, O.B., Ghédira, K.: Simultaneous scheduling of machines and transport robots in flexible job shop environment using hybrid metaheuristics based on clustered holonic multiagent model. Comput. Ind. Eng. 102, 488–501 (2016)

    Article  Google Scholar 

  23. Reddy, B.S.P., Rao, C.S.P.: A hybrid multi-objective ga for simultaneous scheduling of machines and agvs in fms. Int. J. Adv. Manuf. Technol. 31(5), 602–613 (2006)

    Article  Google Scholar 

  24. Ulusoy, G., Sivrikaya-Serifoglu, F., Bilge, U.: A genetic algorithm approach to the simultaneous scheduling of machines and automated guided vehicles. Comput. Oper. Res. 24(4), 335–351 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  25. Vis, I.F.A.: Survey of research in the design and control of automated guided vehicle systems. Eur. J. Oper. Res. 170(3), 677–709 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  26. Yan, P., Chu, C., Yang, N., Che, A.: A branch and bound algorithm for optimal cyclic scheduling in a robotic cell with processing time windows. Int. J. Prod. Res. 48(21), 6461–6480 (2010)

    Article  MATH  Google Scholar 

  27. Zhang, Q., Manier, H., Manier, M.-A.: A genetic algorithm with tabu search procedure for flexible job shop scheduling with transportation constraints and bounded processing times. Comput. Oper. Res. 39(7), 1713–1723 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  28. Zheng, Y., Xiao, Y., Seo, Y.: A tabu search algorithm for simultaneous machine/agv scheduling problem. Int. J. Prod. Res. 52(19), 5748–5763 (2014)

    Article  Google Scholar 

  29. Zhou, R., Hansen, E.A.: Breadth-first heuristic search. Artif. Intell. 170(4–5), 385–408 (2006)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. LIAAD - INESC TEC, Universidade do Porto, Porto, Portugal

    Dalila B. M. M. Fontes & Seyed Mahdi Homayouni

  2. Department of Industrial Engineering, Lenjan Branch, Islamic Azad University, Esfahan, Iran

    Seyed Mahdi Homayouni

  3. Faculdade de Economia da Universidade do Porto, Porto, Portugal

    Dalila B. M. M. Fontes

Authors
  1. Dalila B. M. M. Fontes
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  2. Seyed Mahdi Homayouni
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Corresponding author

Correspondence to Dalila B. M. M. Fontes.

Additional information

We acknowledge the financial support of ERDF - European Regional Development Fund through the Operational Programme for Competitiveness and Internationalisation - COMPETE 2020 Programme and by National Funds through the Portuguese funding agency, FCT - Fundação para a Ciência e a Tecnologia within projects POCI-01-0145-FEDER-031821 and PTDC/EEI-AUT/2933/2014 POCI-01-0145-FEDER-016858 and the Deputy Dean for Research & Technology of the Islamic Azad University, Lenjan Branch.

Appendices

Appendix A: Problem instances data

1.1 Job sets data used in the benchmark instance

Each job set requires a list of the jobs, as detailed in Table 7. For each of these jobs the machine processing each operation is specified and the number in brackets is the processing time. The order in which the machines, and respective processing times, are given corresponds to the order in which they must be processed.

Table 7 Job Sets: sequence – machines and processing times
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1.2 Layouts data used in the benchmark instance

The configuration of the four layouts considered is depicted in Fig. 2 and the corresponding traveling times in Table 8.

Fig. 2
figure 2

Layouts configuration: a Layout 1; b Layout 2; c Layout 3; d Layout 4

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Appendix B: Results reported in [9, 21, 22, 24]

In Table 9 we provide the results reported in [9, 21, 22, 24]. Some of these results have been proved wrong before in [1, 28], in here however, some more can be shown to be wrong by comparing them to the optimal solution found. In the tables these wrong values are marked with \(^\ddag \).

Table 8 Workshop layouts travelling time
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Table 9 Results reported in [9, 21, 22, 24]
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Fontes, D.B.M., Homayouni, S.M. Joint production and transportation scheduling in flexible manufacturing systems. J Glob Optim 74, 879–908 (2019). https://doi.org/10.1007/s10898-018-0681-7

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  • DOI: https://doi.org/10.1007/s10898-018-0681-7

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