fa Inventory Model for Deteriorating Items with Quadratic Time Dependent Demand under Trade Credits Research Paper مقاله پژوهشی In this paper, an EOQ model is developed for a deteriorating item with quadratic time dependent demand rate under trade credit. Mathematical models are also derived under two different situations i.e. Case I; the credit period is less than the cycle time for settling the account and Case II; the credit period is greater than or equal to the cycle time for settling the account. The numerical examples are also given to validate the proposed model. Sensitivity analysis is given to study the effect of various parameters on ordering policy and optimal total profit. Mathematica 7.1 software is used for finding optimal numerical solutions. In this paper, an EOQ model is developed for a deteriorating item with quadratic time dependent demand rate under trade credit. Mathematical models are also derived under two different situations i.e. Case I; the credit period is less than the cycle time for settling the account and Case II; the credit period is greater than or equal to the cycle time for settling the account. The numerical examples are also given to validate the proposed model. Sensitivity analysis is given to study the effect of various parameters on ordering policy and optimal total profit. Mathematica 7.1 software is used for finding optimal numerical solutions. Quadratic time , Dependent demand , Inventory , Trade credits , Deterioration , Time dependent , Quadratic time , Dependent demand , Inventory , Trade credits , Deterioration , Time dependent , 1064 1078 http://system.khu.ac.ir/ijsom/browse.php?a_code=A-10-105-3&slc_lang=fa&sid=1 Rakesh Tripathi Rakesh Tripathi tripathi_rp0231@rediffmail.com 1003194753284600192 1003194753284600192 Yes Graphic Era University, Dehradun (UK) India Graphic Era University, Dehradun (UK) India Dinesh Singh Dinesh Singh deptmaths@rediffmail.com 1003194753284600193 1003194753284600193 No Head Department of Mathematics SSRRPG College, Dehradun (UK) India Head Department of Mathematics SSRRPG College, Dehradun (UK) India Tushita Mishra Tushita Mishra tushitamishra@yahoo.com 1003194753284600194 1003194753284600194 No Department of Mathematics SGRRPG College Dehradun (UK) India Department of Mathematics SGRRPG College Dehradun (UK) India