Inventory model with different demand rate and different holding cost

Abstract

This paper deals with the development of an inventory model for time varying demand and constant demand; and time dependent holding cost and constant holding cost for case 1 and case 2 respectively. Previous models incorporating that the holding cost is constant for the entire inventory cycle. Mathematical model has been developed for determining the optimal order quantity, the optimal cycle time and optimal total inventory cost for both cases. Differential calculus is used for finding optimal solution. Numerical examples are given for both cases to validate the proposed model. Sensitivity analysis is carried out to analyze the effect of changes in the optimal solution with respect to change in various parameters.

Optimal lot size for an item when holding cost is moved by depletion rate of inventory above a certain stock level

“…In that study, the holding cost depends continuously on deterioration rate and storage epoch, shortages were allowed and partially backlogged inversely with the waiting time for the next replenishment. Tripathi (2013) investigated an inventory model for time varying demand and constant demand; and time dependent holding cost and constant holding cost for case 1 and case 2, respectively. He considered non-decaying items in his model and gave a motivation to study another model for deteriorating items with discrete holding cost.…”

Inventory Management for Deteriorating Items with Salvage Value under Time Varying Demand Condition

“…EOQ models for deteriorating items with trended demands were considered by Bahari-Kashani [1], Goswami and Chaudhuri [5]. R.P.Tripathi [7] developed a model under time-varying demand rate and holding cost.…”

A two warehouse deterministic inventory model for deteriorating items with power demand, time varying holding costs and trade credit in a supply chain system

“…Advertise request dependably changes. Tripathi (2013Tripathi ( , 2016 exhibited another technique for stock framework with time subordinate request and time subordinate holding cost by considering two cases. Tripathy and Pradhan (2010) built up a stock model for Weibull is falling apart thing with power request design in which deficiencies are permitted and incompletely accumulated.…”