Joint replenishment and manufacturing activities control in a two stage unreliable supply chain

International Journal of Production Research

Volumn 47, Issue 12, 2009, Pages 3231-3251

  Hajji, A ^a   Gharbi, A ^a   Kenne, J P ^b  

^a Production Systems Design and Control Laboratory   (Canada)

^b UNIVERSITÉ DU QUÉBEC À MONTRÉAL   (Canada)

Author keywords

(s, Q) policy; Hedging point policy; Impulsive control; Production rates; Replenishment policy; Stochastic optimal control

Indexed keywords

HEDGING POINT; IMPULSIVE CONTROLS; PRODUCTION RATES; REPLENISHMENT POLICY; STOCHASTIC OPTIMAL CONTROL;

CONTROL THEORY; OPTIMIZATION; SENSITIVITY ANALYSIS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; SUPPLY CHAIN MANAGEMENT; SUPPLY CHAINS;

STOCHASTIC CONTROL SYSTEMS;

EID: 70449424754     PISSN: 00207543     EISSN: 1366588X     Source Type: Journal    
DOI: 10.1080/00207540701805612     Document Type: Article

References (26)

1. Benjaafar, S., ElHafsi, M. and Lee, C.Y., 2006. Optimal control of assembly systems with multiple stages and multiple demand classes. Working paper, University of Minnesota.
2. Capuzzo-Dolcetta, I. and Lions, P.L., 1990. Hamilton-Jacobi equations with state constraints. Transactions of the American Mathematical Society, 318 (2), 643-683.
3. Chen, F., 2000. Optimal policies for multi-echelon inventory problems with batch ordering. Operations Research, 48 (3), 376-389.
4. Chen, F. and Song, J.S., 2001. Optimal policies for multi-echelon inventory problems with Markov modulated demand. Operations Research, 49 (2), 226-234.
5. Cheng, F. and Sethi, S.P., 1999. Optimality of state dependent (s, S) policies in inventory models with markov modulated demand and lost sales. Production and Operations Management, 8 (2), 183-192.
6. Clark, A.J. and Scarf, H., 1960. Optimal policies for a multi-echelon inventory problem. Management Science, 6, 475-490.
7. Gullu, R., Onol, E. and Erkip, N., 1999. Analysis of an inventory system under supply uncertainty. International Journal of Production Economics, 59, 377-385.
8. Karaesmen, F. and Dallery, Y., 2000. A performance comparison of pull type control mechanisms for multi-stage manufacturing. International Journal of Production Economics, 68, 59-71.
9. Kushner, H.J. and Dupuis, P.G., 1992. Numerical methods for stochastic control problems in continuous time. New York: Springer-Verlag.
10. Lee, W., 2005. A joint economic lost size model for raw material ordering, manufacturing setup, and finishing goods delivering. Omega, 33, 163-174.
11. Lee, H.T. and Wu, J.C., 2006. A study on inventory replenishment policies in a two-echelon supply chain system. Computers & Industrial Engineering, 51, 257-263.
12. Lou, S., Sethi, S.P. and Zhang, Q., 1994. Optimal feedback production planning in a stochastic two machine flowshop. European Journal of Operational Research, 73, 331-345.
13. Muckstadt, J.A. and Roundy, R.O., 1993. Analysis of multistage production systems. Handbooks in OR & MS, 4, 59-131.
14. Parlar, M., 1997. Continuous review inventory problem with random supply interruptions. European Journal of Operational research, 99, 366-385.
15. Parlar, M. and Perry, D., 1995. Analysis of a (Q, r, T) inventory policy with deterministic and random yields when future supply is uncertain. European Journal of Operational Research, 84, 431-443.
16. Parlar, M. and Perry, D., 1996. Inventory models of future supply uncertainty with single and multiple suppliers. Naval Research Logistics, 43, 191-210.
17. Parlar, M., Wang, Y. and Gerchak, Y., 1995. A periodic review inventory model with Markovian supply availability. International Journal of Production Economics, 42, 131-136.
18. Ramaswamy, M. and Dharmatti, S., 2006. Uniqueness of unbounded viscosity solutions for impulsive control problem. Journal of Mathematics Analysis and Applications, 315, 686-710.
19. Riddalls, C.E., Bennett, S. and Tipi, N.S., 2000. Modeling the dynamics of supply chains. International Journal of Systems Science, 31 (8), 969-976.
20. Sethi, S.P. and Thompson, G.L., 2000. Optimal control theory: application to management science and economics. Boston, MA: Kluwer Academic Publishers.
21. Van Houtum, G.J., 2006. Multi-echelon production/inventory systems: optimal policies, heuristics and algorithms. To appear in Tutorials in Operations Research, Informs.
22. Veatch, M. and Wein, L., 1994. Optimal control of a two-station tandem production/inventory systems. Operations Research, 42, 337-350.
23. Yan, H. and Zhang, Q., 1995. A numerical method in optimal production and setup scheduling of stochastic manufacturing systems: summary of results. Proceedings of the 34th conference on decision and control, December, New Orleans, LA, 2872-2877.
24. Yang, T., 1999. Impulsive control. IEEE Transactions on Automatic Control, 44 (5), 1081-1083.
25. Yong, J., 1989. Systems governed by ordinary differential equations with continuous, switching and impulsive controls. Applications of Mathematics Optimization, 20, 223-235.
26. Yong, J. and Zhou, X.Y., 1999. Stochastic controls: Hamiltonian systems and HJB equations. New York: Springer-Verlag.