Nonlinear receding horizon control of production inventory systems with deteriorating items

Authors

  • M. Bounkhel Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
  • L. Tadj Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabia
  • R. Hedjar Department of Computer Engineering, College of Science, King Saud University, Riyadh, Saudi Arabia

DOI:

https://doi.org/10.2298/YJOR0801037B

Keywords:

production systems, continuous-review, periodic-review, deterioration, receding horizon control

Abstract

This paper is concerned with the receding horizon control of the production rate of a deteriorating production system with a nonlinear inventory-level-dependent demand. Both continuous and periodic review policies are discussed and numerical illustrations are provided. .

References

Bounkhel, M., Tadj, L., Benhadid, Y. (2005) Optimal control of a production system with inventory-level-dependent demand. Applied Mathematics E-Notes (AMEN), 5 36-43

Chung, K.J. (2003) An algorithm for an inventory model with inventory-level-dependent demand rate. Computers and Operations Research, 30(9): 1311

Hedjar, R., Bounkhel, M., Tadj, L. (2004) Predictive control of periodic-review production inventory systems with deteriorating items. Top, 12(1): 193

Holt, C.C., Modigliani, F., Muth, J.F., Simon, H.A. (1960) Planning production, inventories, and work force. Englewood Cliffs: Prentice-Hall

Levin, R.I., Mclaughlin, C.P., Lamone, R.P., Kottas, J.F. (1972) Production/operations management: Contemporary policy for managing operating systems. New York: McGraw-Hill

Mayne, D.Q., Rawlings, J.B., Rao, C.V., i dr. (2000) Constrained model predictive control: Stability and optimality. Automatica, vol. 30. pp. 789-814, June

Scokaert, P.O.M., Mayne, D.Q., Rawlings, J.B. (1999) Suboptimal model predictive control (feasibility implies stability). IEEE Transactions on Automatic Control, 44(3): 648

Sethi, S.P., Thompson, G.L. (2000) Optimal control theory: Applications to management science and economics. Dordrecht: Kluwer Academic Publishers

Silver, E.A., Peterson, R. (1985) Decision systems for inventory management and production planning. New York, itd: Wiley

Teng, J.T., Chang, C.T. (2005) Economic production quantity models for deteriorating items with Price- and stock-dependent demand. Computers and Operations Research, 32 297- 308

Downloads

Published

2008-03-01

Issue

Section

Research Articles