An economic order quantity model of imperfect quality items with partial backlogging

Abstract

This article deals with an economic order quantity (EOQ) model in which a certain percentage of a lotsize is of imperfect quality products. This percentage follows a uniform distribution function. During the inspection of the total lot-size, a stock-out situation may occur. In a stock-out situation, a partial fraction of the demand is adjusted by partial back ordering and the rest of the demand is considered as a case of lost sales. The associated integrated expected profit function is generalised for the general distribution function of imperfect quality products. Then the objective function is maximised. Also, three special cases of the general model are studied. A suitable numerical example is provided to illustrate the model and the solution procedure. Comparison between the general and special cases are also shown with the help of numerical examples. Sensitivity analysis of the optimal solutions with respect to all individual parameters of the general model is carried out.

Two-warehouse inventory model for non–instantaneous deteriorating items with optimal credit period and partial backlogging under inflation

“…Yang (2011) discussed partial backlogging production-inventory lot-size model for deteriorating items with time-varying production and demand rate over a finite time horizon. Roy, Sana, and Chaudhuri (2011) gave an EOQ model of imperfect quality items with partial backlogging. Sarkar, Ghosh, and Chaudhuri (2012) studied an optimal inventory replenishment policy for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles.…”

An inventory model with shortages for imperfect items using substitution of two products

“…A detailed survey of the recent inventory models with imperfect items are provided by Khan and Guiffrida (2011). Roy et al (2011) developed an EOQ model for imperfect items where a portion of demand were partially backlogged. Amalgamating the effect of product deterioration, imperfect quality, permissible delay and inflation, Jaggi et al (2011) investigated an inventory model when demand is a function of selling price.…”

An Optimal Policy with Quadratic Demand, Three-Parameter Weibull Distribution Deterioration Rate, Shortages and Salvage Value

“…Being the backlogging rate as variable, it depends on the length of waiting time for the next replenishment. Many researchers like Papachristos and Skouri [19], Abad [20], Teng et al [21], Sana [22], Roy et al [23] and Singh and Pattnayak [24] studied their models with considering the partial backlogging rate.…”