ata allah taleizadeh, Mohabat-Sadat Naghavi-Alhoseiny, Leopoldo Eduardo Cárdenas-Barrón, A. Amjadian
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Optimization of price, lot size and backordered level in an EPQ inventory model with rework process
In traditional inventory models, the demand rate normally is considered as a constant value, while in marketing and pricing, it is dependent on the selling price. The present study introduces a new type of economic production quantity (EPQ) inventory model. This production-inventory model is among the aspects that make the management of inventories more realistic and practical for managers. The pricing policy, planned backorders, and the rework process are included in the EPQ inventory model. The main contribution is that, in the EPQ inventory model, the price serves as a critical factor that affects the size of demand to maximize total long-term profit. The primarily objective is to determine the optimum selling price, discrete values for the optimal lot size, and the level of optimal backorders so that the total profit is maximized. To accomplish the optimal value for the decision variables an algorithm is developed. The proposed algorithm provides an accurate solution for production managers to jointly decide on lot size, backorder size, and selling price. In addition, a numerical example is solved using real industry data. The results affirm that the total profit obtained using the production-inventory model increases significantly in comparison with the current situation. Furthermore, sensitivity analysis is carried out in order to describe the practical application of the suggested production-inventory model.
期刊介绍:
RAIRO-Operations Research is an international journal devoted to high-level pure and applied research on all aspects of operations research. All papers published in RAIRO-Operations Research are critically refereed according to international standards. Any paper will either be accepted (possibly with minor revisions) either submitted to another evaluation (after a major revision) or rejected. Every effort will be made by the Editorial Board to ensure a first answer concerning a submitted paper within three months, and a final decision in a period of time not exceeding six months.