Abstract
This paper deals with a classical Economic Order Quantity model with backlogging and the demand of end customers is dependent on promotional effort and selling price simultaneously. The order quantity and shortage quantities are functionally related to promotional effort (PE), unit selling price and time alone. At first, a crisp solution is made. Then, a general fuzzy optimal and intuitionistic fuzzy optimal policy have been discussed, considering selling price and PE as fuzzy number and fuzzy variable respectively. Finally, a graphical illustration, numerical examples with sensitivity analysis and conclusion are made for justification of the model.
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