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Optimal Control of a Two-Item Inventory System with Different Types of Item Deterioration

Author

Listed:
  • Alshamrani Ahmad

    (Department of Statistics and OR, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.)

  • El-Gohary Awad

    (Department of Mathematics, College of Science, Mansoura University, Mansoura 35516, Egypt.)

Abstract

The present paper provides a new approach to study the problem of optimal control of a two-item inventory system with different types of deterioration. The total cost, which includes the sum of the holding costs of inventory levels, the holding costs of one item due to the presence of the other and the production costs, is minimized. The optimal solution is obtained based on Pontryagin's principle. The system is modeled by a system of non-linear differential equations and its solution is discussed numerically. It is also used for illustrating the system performance as function of the monetary and non-monetary input parameters.

Suggested Citation

  • Alshamrani Ahmad & El-Gohary Awad, 2011. "Optimal Control of a Two-Item Inventory System with Different Types of Item Deterioration," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 201-213, January.
    • Handle: RePEc:bpj:ecqcon:v:26:y:2011:i:2:p:201-213:n:11
    DOI: 10.1515/EQC.2011.019
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    References listed on IDEAS

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    1. Bhattacharya, D. K., 2005. "On multi-item inventory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 786-791, May.
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