en عمومى General پژوهشي Research The intention of the article is to present an imperfect production process inventory model for deteriorating items where the demand rate depends on advertising cost and price. In this research, an industrial manager produces products in a determined <img alt="" chromakey="white" src="file:///C:DOCUME~1TSA1F1~1.MATLOCALS~1Tempmsohtmlclip1�1clip_image001.png" > &nbsp;imperfect replenishment cycles and also in each replenishment cycle, the manufacturer produces items in three imperfect production cycles and one rework setup, (M/P3/R1)&nbsp;&nbsp;inventory system. Rework is one of the important issues in reverse logistics and green supply chain, because it reduces waste, environmental harms and also the overall inventory cost significantly. Here shortages are&nbsp; considered under completely backlogging strategy. The major objective is to establish the optimum &nbsp;advertising cost, optimum cycle time, optimum lot size&nbsp; quantity and optimum selling price with the intend of minimizing the total inventory cost. A numerical example and a sensitivity analysis are established to validate the theoretical results, and managerial insights for industry managers are provided. Three levels of production, imperfect replenishment cycle, defective items, rework, advertising cost 1 20 http://ijorlu.lahijan.iau.ir/browse.php?a_code=A-10-384-2&slc_lang=en&sid=1 T Sekar sekarmat@yahoo.com 10031947532846001733 10031947532846001733 Yes Department of Mathematics, Builders Engineering College, Tirupur, Tamilnadu, India R. Uthayakumar 10031947532846001734 10031947532846001734 No Department of Mathematics, The Gandhigram Rural Institute–Deemed to be University, Dindigul, Tamilnadu, India P. Mythuradevi 10031947532846001735 10031947532846001735 No Department of Mathematics, Builders Engineering College, Tirupur, Tamilnadu, India