EOQ Models Under Different Demand Rates

Abstract

The present research work is conducted to inquire into EOQ models under different demand rates and explore more concepts under trade credits The thesis is divided into nine chapters newline Chapters one and two deal with the basic ideas that lie behind inventory models with different environments We define the terms which are necessary to understand and explain objective of Economic Order Quantity models The main aim of these chapters is to build up a platform to the extremes of succeeding chapters newlineIn chapter three we develop inventory models with linear time dependent demand and different holding cost functions In real life observation demand rate depends on time In this chapter demand rate is considered as linearly time dependent and holding cost is exponentially time dependent for case one and time dependent for case two Previous models considered that demand rate as well as holding cost both being constant To stimulate more sales the demand rate is not constant but it is time dependent stock dependent inflation dependent cash discount etc Differential calculus has been used for finding optimal order cycle optimal cycle time optimal total inventory cost for both cases Sensitivity analysis is given for the variation of various parameters newlineIn chapter four we establish an inventory model for deteriorating items considering inventory level dependent demands under permissible delay in payments Mathematical formulation are derived under two different situations The permissible delay period is less than or equal to the cycle time for settling the account The permissible delay period is greater than the cycle time for settling the account Numerical examples are provided to validate the proposed model newlineIn chapter five we develop an inventory model for stock dependent demand under permissible delay in payments to determine optimal ordering policies Mathematical models are derived under two different cases The credit period is greater than or equal to cycle time for settling the account The credit period is less than cycle time