This paper investigates the backorder rate inventory problem with defective units. In practice, the uncertainties of customer’s demand and backorder rate are inherent; hence, backorder rate and customer’s demand are not constant. In this study, we assume that the backorder rate is dependent on the amount of shortages and backorder price discounts, and the lead time demand follows a mixture of d...

a r t i c l e i n f o This paper expands an inventory model for deteriorating items with stock-dependent demand. This model provides time varying backlogging rate as well as time varying deterioration rate. The aim of this model is to determine the optimal cycle length of each product such that the expected total cost (holding, shortage, ordering, deterioration and opportunity cost) is minimize...

in paper (2004) chang studied an inventory model under a situation in which the supplier provides the purchaser with a permissible delay of payments if the purchaser orders a large quantity. tripathi (2011) also studied an inventory model with time dependent demand rate under which the supplier provides the purchaser with a permissible delay in payments. this paper is motivated by chang (2004) ...

Abstract In this paper a deterministic supply chain inventory model has been developed for deteriorating items having a ramp type demand with the effects of inflation with two-storage facilities and Economic Load Dispatch Problem Using Genetic Algorithm.. The owned warehouse (OW) has a fixed capacity of W units; the rented warehouse (RW) has unlimited capacity. Here, we assumed that the invento...

Markov-modulated processes have been used in stochastic inventory models with setup costs for modeling demand under the innuence of uncertain environmental factors, such as uctuating economic and market conditions. The analyses of these models have been carried out in the literature only under the assumption that unsatissed demand is fully backlogged. The lost sales situation occurs in many ret...

Manna and Chaudhuri (Eur. J. Oper. Res. 171(2):557–566, 2006) presented a production-inventory system for deteriorating items with demand rate being a linearly ramp type function of time and production rate being proportional to the demand rate. The two models without shortages and with shortages were discussed. Both models were studied assuming that the time point at which the demand is stabil...

This study models a joint pricing, inventory, and preservation decision-making problem for deteriorating items subject to stochastic demand and promotional effort. The generalized price-dependent stochastic demand, time proportional deterioration, and partial backlogging rates are used to model the inventory system. The objective is to find the optimal pricing, replenishment, and preservation t...

Markov-modulated processes have been used in stochastic inventory models with setup costs for modeling demand under the innuence of uncertain environmental factors, such as uctuat-ing economic and marketing conditions. The analyses of these models have been carried out in the literature only under the assumption that unsatissed demand is fully backlogged. We study a Markovian demand model in th...

Abstract: This paper presents a new multiple objectives model for the optimal production for an inventory control system. The stocked items may be deteriorates and the systems costs will be change over the time. In the real situation, some but not all customers will wait for backlogged items during a shortage period and therefore, the model incorporates partial backlogging. The demand rate can ...