Effect of reliability on varying demand and holding cost on inventory system incorporating probabilistic deterioration

<p style='text-indent:20px;'>This paper presents a mathematical framework to derive an inventory model for time, reliability, and advertisement dependent demand. This considers the demand rate is high initially, then reduces later stage, which reflects situation related cash in hand. The uncertain deterioration of product through Uniform, Triangular, Double Triangular probability distributions. holding cost proposed system on reliability item make this study more realistic one. allows shortage partially backlogged at fixed rate. Numerical examples, along with managerial implications sensitivity analysis parameters, discuss examine effect changes optimal total cost.</p>