The effect of both types of discounts in optimising the profit is examined through numerical illustrations. Sensitivity analysis is also appended to find out the effect of various system parameters. From this study it is observed that it will be more advantageous for management to offer pre deterioration discount in enticing the profit. | Yugoslav Journal of Operations Research 28 (2018), Number 3, 371–383 DOI: DECISION SUPPORT MODEL FOR PERISHABLE ITEMS IMPACTING RAMP TYPE DEMAND IN A DISCOUNTED RETAIL SUPPLY CHAIN ENVIRONMENT . TRIPATHY P. of Statistics, Utkal University, Bhubaneswar, 751004, India msccompsc@ Sujata SUKLA P. G. Department of Statistics, Utkal University, Bhubaneswar, 751004, India suklasujata086@ Received: September 2017 / Accepted: March 2018 Abstract: A single item EOQ model has been developed considering demand as a two parameter ramp type function and deterioration as a Heaviside’s function. Both pre and post deterioration discounts are considered where the former helps in maintaining constancy in the demand rate and the latter one boosts the demand of decreased quality items. The starting time periods of pre and post deterioration discount have been determined. The effect of both types of discounts in optimising the profit is examined through numerical illustrations. Sensitivity analysis is also appended to find out the effect of various system parameters. From this study it is observed that it will be more advantageous for management to offer pre deterioration discount in enticing the profit. Keywords: EOQ Model, Ramp Type Demand, Heaviside’s Function, Discounted Selling Price. MSC: 90B05. 1. INTRODUCTION Most of the inventory models are explored by considering the demand rate as constant, linearly increasing/decreasing or exponentially increasing/decreasing. But demand of all types of products may not follow these particular patterns over time. Demand for some products increases rapidly as they are introduced in the 372 P. K. Tripathy et al. / Decision Support Model for Perishable Items market, but after certain period of time it becomes constant. The ramp type function is used to represent such type of demand function. The following table gives a glance at research works undertaking different .
