A deteriorating inventory model for quadratic demand and constant holding cost with partial backlogging and inflation

Abstract

In most of the deteriorating items inventory model, demand rate has considered as a constant function. But in realistic situation these cost varying according to time. So in this paper, we developed a deterministic deteriorating inventory model with inflation in which demand rate are quadratic function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged. The model is solved numerically by minimizing the total inventory cost for cycle. Keywords: inventory, deteriorating items, shortages, time dependent demand, partial backlogging, constant holding cost and inflation.