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A GRASP for Supply Chain Optimization with Financial Constraints per Production Unit

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Advances in Metaheuristics

Abstract

This paper deals with supply chain optimization using the job-shop model where extra flow constraints are included modelizing cash flow exchanges between different supply chain partners including suppliers, retailers and manufacturers. The problem under study called job-shop with financial constraint is defined as a job-shop problem with simultaneous consideration of machine specific resource requirements and financial constraints. Tackling financial considerations permits to consider a proper coordination of production units when optimizing the supply chain planning and cash flows. The main goal is to obtain the smallest duration of a given supply chain operational planning that respects the budget limit of each production unit. We use a disjunctive graph formulation to model both the job-shop problem and cash flow constraints. We also propose a powerful and efficient GRASPxELS procedure as a solution method. The developed approach for supply chain modeling is novel in the sense that the model encompasses specific financial resource per machine i.e. per plant. The method efficiency is evaluated on a set of instances coming from the Laurence’s job-shop instances.

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References

  1. Artigues, C., Michelon, P., Reusser, S.: Insertion techniques for static and dynamic resource-constrained project scheduling. Eur. J. Oper. Res. 148, 249–267 (2003)

    Article  Google Scholar 

  2. Badell, M., Romero, J., Huertas, R., Puigjaner, L.: Planning, scheduling and budgeting value-added chains. Comput. Chem. Eng. 28, 45–61 (2004)

    Article  Google Scholar 

  3. Badell, M., Romero, M., Puigjaner, L.: Optimal budget and cash flows during retrofitting periods in batch chemical process industries. Int. J. Prod. Econ. 95, 359–372 (2005)

    Article  Google Scholar 

  4. Baumol, W.J.: The transaction demand for cash: an inventory approach. The Q. J. Econ. 66, 545–556 (1952)

    Article  Google Scholar 

  5. Beamon, M.: Supply chain design and analysis: models and methods. Int. J. Prod. Econ. 55, 281–294 (1998)

    Article  Google Scholar 

  6. Bierwirth, C.: A generalized permutation approach to jobshop scheduling with genetic algorithms. OR Spektrum 17, 87–92 (1995)

    Article  Google Scholar 

  7. Caumond, A., Lacomme, P., Tchernev, N.: A memetic algorithm for the job-shop with time-lags. Comput. Oper. Res. 35(7), 2331–2356 (2008)

    Article  Google Scholar 

  8. Conover, V.: Practical Nonparametric Statistics, 3rd edn. Wiley, New York (1999)

    Google Scholar 

  9. Dell’amico, M., Trubian, M.: Applying tabu-search to the job-shop scheduling problem. Ann. Oper. Res. 41, 231–252 (1993)

    Article  Google Scholar 

  10. Elasouni, A.M., Metwally, F.G.: Expanding finance-based scheduling to devise overalloptimized project schedules. J. Constuction Eng. M. 133, 86–90 (2007)

    Article  Google Scholar 

  11. Elmaghraby, A.E., Herroelen, W.S.: The scheduling of activities to maximize the net present value of project. Eur. J. Oper. Res. 49, 35–49 (1990)

    Article  Google Scholar 

  12. Fenies, P., Bertel, S., Roux, O.: Optimal cash flow and operational planning in a company supply chain. Int. J. Comput. Integr. Manuf. 21(4), 440–454 (2008)

    Article  Google Scholar 

  13. Fenies, P., Comelli, M., Tchernev, N.: Combined financial and physical flows evaluation for logistic process and tactical production planning: Application in a company supply chain. Int. J. Prod. Econ. 112(1), 77–95 (2008)

    Article  Google Scholar 

  14. Feo, T.A., Bard, J.: Flight scheduling and maintenance based planning. Manage. Sci. 35(12), 1415–1432 (1989)

    Article  Google Scholar 

  15. Feo, T.A., Resende, M.G.C.: Greedy randomized adaptive search procedures. J. Global Optim. 6, 109–33 (1995)

    Article  Google Scholar 

  16. Festa, P., Resende, M.G.C.: GRASP: An annotated bibliography. In: Ribeiro, C.C., Hansen, P. (eds.) Essays and Surveys on Metaheuristics, pp. 325–367. Kluwer, Dordrecht (2002)

    Chapter  Google Scholar 

  17. Fiala, P.: Information sharing in supply chains. Omega Int. J. Manage. Sci. 33, 419–423 (2005)

    Article  Google Scholar 

  18. Grabowski, J., Nowichi, E., Zdrzalka, S.: A block approach for single machine scheduling with release dates and due dates. Eur. J. Oper. Res. 26, 278–285 (1986)

    Article  Google Scholar 

  19. Guillen, G., Badell, M., Espuna, A., Puigjaner, L.: Simultaneous optimization of process operations and financial decisions to enhance the integrated planning/scheduling of chemical supply chains. Comput. Chem. Eng. 30(3), 421–436 (2006)

    Article  Google Scholar 

  20. Guillen, G., Badell, M., Puigjaner, L.: A holistic framework for short-term supply chain management integrating production and corporate financial planning. Int. J. Prod. Econ. 106, 288–306 (2007)

    Article  Google Scholar 

  21. Kemmoe, S., Lacomme, P., Tchernev, N., Quilliot, A.: Mathematical Formulation of the supply chain with cash flow per production unit modelled as Job Shop. In: International Conference on Industrial Engineering and Systems Management, France, IESM’11, May 25–27, Metz, France (2011)

    Google Scholar 

  22. Lacomme, P., Kemmoe, S., Quilliot, A.: A disjunctive flow graph representation of rcpsp: a memetic algorithm based framework. Workshop International: Logistique - Transport, pages Sousse, Tunisie, 18–20 Nov. (2007)

    Google Scholar 

  23. Lacomme, P., Larabi, M., Tchernev, N.: Job-shop based framework for simultaneous scheduling of machines and automated guided vehicles. Int. J. Prod. Econ. Doi: 10.1016/j.ijpe.2010.07.012 online first

    Google Scholar 

  24. Nguyen, V., Prins, C., Prodhon, C.: Multi-Start iterated Local search with tabu search list and path relinking for the two-echelon location-routing problem. In: Eng. Appl. Artif. Intel. 25 56–71 (2012)

    Article  Google Scholar 

  25. Nowicki, E., Smutnicki, C.: A fast taboo search algorithm for the job-shop problem. Manage. Sci. 42(26), 797–813 (1996)

    Article  Google Scholar 

  26. Resende, M.G.C., Ribeiro, C.C.: GRASP with path-relinking: Recent advances and applications. In: Ibaraki, T., Nonobe, K., Yagiura, M. (eds.) Metaheuristics: Progress as Real Problem Solvers, pp. 29–63. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  27. Roy, B., Sussmann, B.: Les problèmes d’ordonnancement avec contraintes disjonctives. Note DS no. 9 bis, SEMA, Paris (1964)

    Google Scholar 

  28. Russel, A.R.: A comparison of heuristics for scheduling projects with cash flows and resource restriction. Manage. Sci. 32(10), 1291–1300 (1986)

    Article  Google Scholar 

  29. Russell, A.H.: Cash flows in networks. Manage. Sci. 16, 357–373 (1970)

    Article  Google Scholar 

  30. Sheskin, D.: Handbook of Parametric and Nonparametric Statistical Procedures, 2nd edn. Chapman and Hall/CRC, Boca Raton (2000)

    Google Scholar 

  31. Stadtler, H.: Supply chain management and advanced planning: basics, overview and challenges. Eur. J. Oper. Res. 163(3), 575–588 (2005)

    Article  Google Scholar 

  32. Taghi, S., Najafi, A.A., Niaki, A.: A genetic algorithm for resource investment problem with discounted cash flow. Appl. Mathe. Comput. 183, 1057–1070 (2006)

    Article  Google Scholar 

  33. Ulusoy, G., Cebelli, S.: An equitable approach to the payment scheduling problem in project management. Eur. J. Oper. Res. 127, 262–278 (2000)

    Article  Google Scholar 

  34. Van Laarhoven, P.J.M., Aarts, E.H.L., Lentra, J.K.: Job-shop scheduling by simulated annealing. Oper. Res. 40 113–125 (1992)

    Article  Google Scholar 

  35. Whang, S., Lee, H.L., Padmanahbhan, V.: Information distortion in a supply chain: the bullwhip effect. Manage. Sci. 43(4), 546–558 (1997)

    Article  Google Scholar 

  36. Wolf, S., Merz, P.: Evolutionary local search for the super-peer selection problem and the p-hub median problem. In: Lecture Notes in Computer Science, vol. 4771, pp. 1–15. Springer, Berlin (2007)

    Google Scholar 

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Acknowledgements

The authors are grateful to the anonymous referees for their helpful comments on a earlier draft of the paper.

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Correspondence to Sylverin Kemmoe , Philippe Lacomme , Nikolay Tchernev or Alain Quilliot .

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Kemmoe, S., Lacomme, P., Tchernev, N., Quilliot, A. (2013). A GRASP for Supply Chain Optimization with Financial Constraints per Production Unit. In: Di Gaspero, L., Schaerf, A., Stützle, T. (eds) Advances in Metaheuristics. Operations Research/Computer Science Interfaces Series, vol 53. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6322-1_10

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