en Optimization Techniques Optimization Techniques پژوهشي Research <div style="text-align: justify;"><span style="font-size:11pt"><span style="line-height:normal"><span calibri="" style="font-family:"><span style="font-size:10.0pt"><span new="" roman="" style="font-family:" times="">This research investigated the problem of joint inventory control and pricing for non-instantaneous deteriorating products; while, the quantity dependent trade credit is allowed. It was observed here that the buyer order amount is equal or more than the amount specified by the seller. The Shortage was not permitted in the system. It was aimed in present study to find a procedure for achieving the optimal selling price and replenish cycle and to be able to maximize the system&#39;s profit. To do so, first, the system&#39;s total profit function was derived. Then, the uniqueness of the optimal replenishment cycle for a given price was proved. Next, the concavity of the total profit function concerning the price was revealed, depending on the trade credit policy. Thereafter, an algorithm was provided to fulfill the optimal solution and eventually a dual-purpose numerical analysis was carried out both to show the model performance and to evaluate the sensitivity of the main parameters.</span></span></span></span></span></div> &nbsp; Pricing,Inventory control,Quantity dependent trade credit,Non-instantaneous deteriorating items 134 153 http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-2630-1&slc_lang=en&sid=1 Hamed Salehi Mourkani ha.salehi993@gmail.com 1800319475328460012053 1800319475328460012053 Yes Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran Anwar Mahmoodi anwar.mahmoodi@uok.ac.ir 1800319475328460012054 1800319475328460012054 No Associate Professor, Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran Isa Nakhai Kamalabadi i.nakhai@uok.ac.ir 1800319475328460012055 1800319475328460012055 No Professor, Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran