A stochastic programming approach for sawmill production planning

International Journal of Mathematics in Operational Research

Volumn 5, Issue 1, 2013, Pages 1-18

  Zanjani, Masoumeh Kazemi ^a   Ait Kadi, Daoud ^b   Nourelfath, Mustapha ^b  

^a Gina Cody School of Engineering and Computer Science   (Canada)

^b UNIVERSITÉ LAVAL   (Canada)

Author keywords

Production planning; Random yield; Sample average approximation; Sawmill; Stochastic programming

Indexed keywords

EID: 84878145414     PISSN: 17575850     EISSN: 17575869     Source Type: Journal    
DOI: 10.1504/IJMOR.2013.050604     Document Type: Article

References (26)

1. Aghezzaf, E-H., Carles, S. and Najib, M.N. (2009) 'Models for robust tactical planning in multi-stage production systems with uncertain demands', Article in press: Computers & Operations Research, doi: 10.1016/j.cor.2009. 03.012.
2. Alfieri, A. and Brandimarte, P. (2005) 'Stochastic programming models for manufacturing applications: A tutorial introduction', in Matta, A. and Semeraro, Q, (Eds.): Design of Advanced Manufacturing Systems, Models for Capacity Planning in Advanced Manufacturing Systems, Springer, Netherlands, pp.73-124.
3. Bakir, M.A. and Byrne, M.D. (1998) 'Stochastic linear optimization of an MPMP production planning model', International Journal of Production Economics, Vol. 55, pp.87-96. (Pubitemid 128417434)
4. Birge, J.R. and Louveaux, F. (1997) Introduction to Stochastic Programming, Springer, New York.
5. Brandimarte, P. (2006) 'Multi-item capacitated lot-sizing with demand uncertainty', International Journal of Production Research, Vol. 44, No. 15, pp.2997-3022. (Pubitemid 43898330)
6. Dantzig, G.B., (1955) 'Linear programming under uncertainty', Management Science, Vol. 1 (3, 4), pp.197-206.
7. Ermoliev, Y. (1983) 'Stochastic quasigradient methods and their applications to system optimization', Stochastics, Vol. 9, pp.1-36. (Pubitemid 13544247)
8. Escudero, L.F., Kamesam P.V., King, A.J. and Wets, R.J-B. (1993) 'Production planning via scenario modeling', Annals of Operations Research, Vol. 43, pp.309-335.
9. Gaudreault, J., Rousseau, A., Frayret, J.M. and Cid, F. (2004) 'Planification Opérationnelle du Sciage', For@c technical document, Quebec, Canada.
10. Higle, J.L. and Sen, S. (1996) Stochastic Decomposition: An Algorithm for Two-stage Linear Programming, Kluwer Academic Publishers, Boston, MA.
11. Huang, K. (2005) Multi-Stage Stochastic Programming Models for Production Planning, Thesis (PhD), School of Industrial and Systems Engineering: Georgia Institute of Technology, Atlanta.
12. Kall, P. and Mayer, J. (2005) Stochastic linear programming, Springer's International Series, New York.
13. Kall, P. and Wallace, S.W. (1994) Stochastic Programming, John Wiley & Sons, New York.
14. Kazemi, Z.M., Ait-Kadi, D. and Nourelfath, M. (2009c) 'Robust production planning in a manufacturing environment with random yield: A case in sawmill production planning', Article in press: European Journal of Operational Research, doi: 10.1016/j.ejor.2009.03.041.
15. Kazemi, Z.M., Nourelfath, M. and Ait-Kadi, D. (2007) 'Production planning for simultaneous production of multiple products by alternative processes with random yield', In Proceedings 7e Congrès International De Génie Industriel, Trois-Rivières (Canada).
16. Kazemi, Z.M., Nourelfath, M. and Ait-Kadi, D. (2009a) 'A stochastic programming approach for production planning with uncertainty in the quality of raw materials: A case in sawmills', CIRRELT 2009-08 Working Document, Québec (Canada).
17. Kazemi, Z.M., Nourelfath, M. and Ait-Kadi, D. (2009b) 'A multi-stage stochastic programming approach for production planning with uncertainty in the quality of raw materials and demand', Article in press: International Journal of Production Research, doi: 10.1080/00207540903055727.
18. Khor, C.S., Elkamel, A., Ponnambalamb, K. and Douglas, P.L. (2007) 'Two-stage stochastic programming with fixed recourse via scenario planning with economic and operational risk management for petroleum refinery planning under uncertainty', Chemical Engineering and Processing, doi:10.1016/j.cep.2007.09. 016.
19. Leung, S.C.H. and Wu, Y. (2004) 'A robust optimization model for stochastic aggregate production planning', Production Planning & Control, Vol. 15, No. 5, pp.502-514.
20. Leung, S.C.H., Tsang, S.O.S., Ng, W.L. and Wu, Y. (2006) 'A robust optimization model for multi-site production planning problem in an uncertain environment' European Journal of Operational Research, Vol. 181, No. 1, pp.224-238.
21. Mak, W.K., Morton, D.P. and Wood, R.K. (1999) 'Monte Carlo bounding techniques for determining solution quality in stochastic programs', Operations Research Letters, Vol. 24, pp.47-56.
22. Maness, T.C. and Adams, D.M. (1991) 'The combined optimization of log bucking and sawing strategies', Wood and Fiber Science, Vol. 23, pp.296-314.
23. Maness, T.C. and Norton, S.E. (2002) 'Multiple-period combined optimization approach to forest production planning', Scandinavian Journal of Forest Research, Vol. 17, pp.460-471. (Pubitemid 35197632)
24. Mendoza, G.A., Meimban, R.J., Luppold, W.J. and Arman, P.A. (1991) 'Combined log inventory and process simulation models for the planning and control of sawmill operations', Proceedings of 23rd GIRP International Seminar on Manufacturing Systems, Nancy (France).
25. Shapiro, A. and Homem-de-Mello, T. (1998) 'A simulation based approach to two-stage stochastic programming with recourse', Mathematical Programming, Vol. 81, pp.301-325. (Pubitemid 128393283)
26. Shapiro, A. and Homem-de-Mello, T. (2000) 'On the rate of convergence of optimal solutions of Monte Carlo approximations of stochastic programs', SIAM Journal on Optimization, Vol. 11, No. 1, pp.70-86. (Pubitemid 33235753)