Optimal production policy for multi-product with inventory-level-dependent demand in segmented market
DOI:
https://doi.org/10.2298/YJOR130220023SKeywords:
market segmentation, inventory-production system, optimal control problemAbstract
Market segmentation has emerged as the primary means by which firms achieve optimal production policy. In this paper, we use market segmentation approach in multi-product inventory system with inventory-level-dependent demand. The objective is to make use of optimal control theory to solve the inventory-production problem and develop an optimal production policy that minimizes the total cost associated with inventory and production rate in segmented market. First, we consider a single production and inventory problem with multi-destination demand that vary from segment to segment. Further, we describe a single source production and multi destination inventory and demand problem under the assumption that firm may choose independently the inventory directed to each segment. The optimal control is applied to study and solve the proposed problem.References
Kotler, P., Marketing Management, 11th Edition, Prentice –Hall, Englewood Cliffs, New Jersey, 2003.
Duran, S. T., Liu, T., Simcji-Levi, D., and Swann, J. L., Optimal production and inventory policies of priority and price–differentiated customers, IIE Transactions, 39 (2007) 845-861.
Chen, Y., and Li, X., The effect of customer segmentation on an inventory system in the presence of supply disruptions, Proc. of the Winter Simulation Conference, December 4-7, Orlando, Florida, (2009) 2343-2352.
Sethi, S. P., and Thompson, G. L., Optimal Control Theory: Applications to Management Science and Economics, Kluwer Academic Publishers, Beston/Dordrecht/London, 2000.
Hedjar, R., Bounkhel, M., and Tadj, L., Predictive Control of periodic review production inventory systems with deteriorating items, TOP, 12 (1) (2004), 193-208.
Davis, B. E., and Elzinga, D. J., The solution of an optimal control problem in financial modeling, Operations Research, 19 (1972) 1419-1433.
Elton, E., and Gruber, M., Finance as a Dynamic Process, Prentice-Hall, Englewood Cliffs, New Jersey, 1975.
Arrow, K. J., and Kurz, M., Public Investment, The rate of return, and Optimal Fiscal Policy, The John Hopkins Press, Baltimore, 1970.
Seierstad, A., and Sydsaeter, K., Optimal Control Theory with Economic Applications, North Holland, Amsterdam, (1987).
Feichtinger, G., Optimal control theory and Economic Analysis 2, Second Viennese Workshop on Economic Applications of Control theory, (ed.) Vienna, May 16-18, North–Holland, Amsterdam, 1984.
Feichtinger, G., Hartl, R. F., and Sethi, S. P., Dynamics optimal control models in Advertising: Recent developments, Management Science, 40 (2) (1994) 195-226.
Hartl, R. F., Optimal dynamics advertising polices for hereditary processes, Journals of Optimization Theory and Applications, 43 (1) (1984) 51-72.
Sethi, S. P., Optimal control of the Vidale-Wolfe advertising model, Operations Research, 21 (1973) 998-1013.
Sethi, S. P., Dynamic optimal control models in advertising: a survey, SIAM Review, 19 (4) (1977) 685-725.
Pierskalla, W. P., and Voelker, J. A., Survey of maintenance models: the control and surveillance of deteriorating systems, Naval Research Logistics Quarterly, 23 (1976) 353-388.
Amit, R., Petroleum reservoir exploitation: switching from primary to secondary recovery, Operations Research, 34 (4) (1986) 534-549.
Derzko, N. A., and Sethi, S. P., Optimal exploration and consumption of a natural resource: deterministic case, Optimal Control Applications & Methods, 2 (1) (1981) 1-21.
Heaps, T., The forestry maximum principle, Journal of Economic Dynamics and Control, 7 (1984) 131-151.
Benhadid, Y., Tadj, L., and Bounkhel, M., Optimal control of a production inventory system with deteriorating items and dynamic costs, Applied Mathematics E-Notes, 8 (2008) 194-202.
El-Gohary, A., and Elsayed, A., Optimal control of a multi-item inventory model, International Mathematical Forum, 27 (3) (2008) 1295-1312.
Tadj, L., Bounkhel, M., and Benhadid, Y., Optimal control of a production inventory system with deteriorating items, International Journal of System Science, 37 (15) (2006) 1111-1121.
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