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Quantity discount for integrated supply chain model with back order and controllable deterioration rate

Due to uncertainty in economy, business players examine different ways to ensure the survival and growth in the competitive atmosphere. In this scenario, the use of effective promotional tool and co-ordination among players enhance supply chain profit. The proposed model deals with the effect of quantity discount on an integrated inventory system for constantly deteriorating items with fix life time. | Yugoslav Journal of Operations Research 28 (2018), Number 3, 355–369 DOI: https://doi.org/10.2298/YJOR171014012M QUANTITY DISCOUNT FOR INTEGRATED SUPPLY CHAIN MODEL WITH BACK ORDER AND CONTROLLABLE DETERIORATION RATE Poonam MISHRA Faculty, Department of Mathematics and Computer Science, School of technology, Pandit Deendayal Petroleum University, Raisan, Gandhinagar, 382007, India poonam.mishra@sot.pdpu.ac.in Isha TALATI Research Scholar, Department of Mathematics and Computer Science, School of technology, Pandit Deendayal Petroleum University, Raisan, Gandhinagar, 382007, India ishaben.tphd15@sot.pdpu.ac.in Received: October 2017 / Accepted: March 2018 Abstract: Due to uncertainty in economy, business players examine different ways to ensure the survival and growth in the competitive atmosphere. In this scenario, the use of effective promotional tool and co-ordination among players enhance supply chain profit. The proposed model deals with the effect of quantity discount on an integrated inventory system for constantly deteriorating items with fix life time. We use advertisement and quantity discount to accelerate stock dependent demand and further, the offered preservation technology for controlling deterioration rate. The model is validated numerically, and the sensitivity analysis for critical supply chain parameters is carried out. The results can be used in the decision making process of the supply chains associated with the supply of cosmetic, tinned food, drugs, and other FMCGs. Keywords: Integrated Inventory, Advertise and Stock Dependent Demand, Constant Deterioration, Back Order, Quantity Discount, Preservative Technology. MSC: 90B85, 90C26. 356 Mishra, P., and Talati, I., / Quantity Discount for Integrated Supply Shain Model 1. INTRODUCTION A supply chain contains different business players like supplier, manufacturer, distributor, retailer, customer, who work together to improve sustainability. Goyal [11] developed the first integrated model for a