ttp://iaeme.com/Home/journal/IJCET 142 editor@iaeme.com h International Journal of Computer Engineering & Technology (IJCET) Volume 9, Issue 5, September-October 2018, pp. 142 151, Article ID: IJCET_09_05_017 – Available online at ttp://iaeme.com/Home/issue/IJCET?Volume=9&Issue=5 h Journal Impact Factor (2016 9.3590(Calculated by GISI) www.jifactor.com ): ISSN Print: 0976-6367 and ISSN Online: 0976–6375 © IAEME Publication INVENTORY MODEL HAVING PRICE DEPENDENT DEMAND AND PERMISSIBLE DELAY IN PAYMENTS UNDER LEARNING EFFECT FOR DETERIORATING ITEMS Jyoti, Geetanjali Sharma, Mahesh Kumar Jayaswal Centre of Mathematical Sciences, Banasthali Vidyapith, Rajasthan, India ABSTRACT It is repeatedly observed that deterioration of material commodities is one of the major issues in any inventory and construction structure. Therefore the loss due to deterioration cannot be unnoticed. A mathematical model is developed with permissible delay in payments and price dependent demand for deteriorating items . Learning effect is also considered in the model. A solution method is provided to exemplify the proposed model. Further to demonstrate the model, numerical example is used. Finally, the sensitivity analysis has been carried out to study the impact of variations in the values of different parameters. Key words: Inventory; shortages; price dependent demand; learning; permissible delay in payments. Cite this Article: Jyoti, Geetanjali Sharma, Mahesh Kumar Jayaswal Inventory , Model having Price Dependent Demand and Permissible Delay in Payments under Learning Effect for Deteriorating Items. International Journal of Computer Engineering and Technology, 9(5), 2018, pp. 142 151. - ttp://iaeme.com/Home/issue/IJCET?Volume=9&Issue=5 h 1. INTRODUCTION Most of the production associations put emphasis on inventory organization and resolving the problems related to inventory because they want to maintain the balance between overstocking and understocking and also wants to acquire the quantity that reduce the total inventory cost. Deteriorating items are familiar in our daily life. It occurs for most products in existent world. Usually, deteriorating items are those products that become scratched, decomposed, infected, loss of the marginal price, evaporative, devaluation, worthless, degradation and so on through time. Therefore, it is worth while to include the impacts of deterioration while analyzing the model. According to Harris [6] inventory depletes basically due to constant demand. Tripathy and Mishra [16] presented a model under the assumption of permissible delay in payments oriented on cash flow. Karmakar and Choudhary [7] considered an inventory model where general ramp type demand represents the demand rate, partial backlogging and holding cost