AUTHOR(S): Noura Yassine, Abdullah Alsagheer

TITLE The Optimal Solution of a Production Model with Shortages and Raw Materials 
KEYWORDS Economic production quantity, planned shortages, cost of raw material 
ABSTRACT The purpose of this study is to incorporate the cost of raw material into the classical production model with planned shortages. A mathematical model is developed to account for the cost of producing and holding the finished product, the administrative and backorder costs of shortages, as well as the cost of acquiring and holding the raw materials used in the production process. Explicit expressions for the optimal production and planned shortage quantities are derived from the mathematical model. Moreover, a proof of the uniqueness of the optimal solution is provided. Numerical examples are presented to analyze the sensitivity of the optimal solution relative to changes in the parameters of the model. 
Cite this paper Noura Yassine, Abdullah Alsagheer. (2017) The Optimal Solution of a Production Model with Shortages and Raw Materials. International Journal of Mathematical and Computational Methods, 2, 1318 