Order Level Lot Size Inventory Model for Detereriorating Items Under Quadratic Demand with Time Dependent IHC and Partial Backlogging

Vol-2 | Issue-2 | February-2015 | Published Online: 05 February 2015    PDF ( 636 KB )
Author(s)
Dr. U. B. Gothi 1; Prof. Kirtan Parmar 2

1Associate Professor, St. Xavier’s College (Autonomous) Ahmedabad, Gujarat (India)

2Adhyapak Sahayak, St. Xavier’s College (Autonomous) Ahmedabad, Gujarat (India)
Abstract

In this paper, we have analysed a deterministic inventory model for deteriorating items with time-dependent quadratic demand and
holding cost is time-dependent. Two parameter Weibull distributions are used to represent the distribution of time to deterioration. In the
model considered here, shortages are allowed and partially backlogged. The backlogging rate is assumed to be dependent on the length of
waiting for the next replenishment. The longer the waiting time is, the smaller the backlogging rate would be.The model is solved analytically
to obtain the optimal solution of the problem. The derived model is illustrated by a numerical example and its sensitivity analysis is carried
out.
Keywords
Inventory, quadratic demand, Weibull distribution, deteriorating items, time-varying holding cost, shortages, partial backlogging
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