After more than 20 years of extensive study, the policy of pooling lead-time risk by simultaneously splitting replenishment orders among several suppliers continues to attract the attention of researchers. A critical review of the extant literature is conducted. Important and persistent limitations of current research are revealed that may make the policy uneconomical, in general, and more prom...

Abstract In this paper, we consider a combination of the joint replenishment problem (JRP) and single-machine scheduling with release dates. There is single machine one or more item types. Each job has date, positive processing time, it requires subset items. A can be started at time t only if all required types were replenished between date point . The ordering for distinct jobs combined. obje...

This paper deals with the determination of production-shipment policy for an integrated vendor-buyer system. The inventory model contains two decision variables: the replenishment lot size and the number of deliveries. This paper solves the inventory model considering two cases: 1) the replenishment lot size as continuous variable and the number of shipments as discrete variable, and 2) the rep...

The single-item stochastic lot-sizing problem is to find an inventory replenishment policy in the presence of discrete stochastic demands under periodic review and finite time horizon. A closely related problem is the single-period newsvendor model. It is well known that the newsvendor problem admits a closed formula for the optimal order quantity whenever the revenue and salvage values are lin...

Natural calamities (e.g., hurricane, excessive ice-fall) may often impede the inventory replenishment during the peak sale season. Due to the extreme situations, sales may not occur and demand may not be recorded. This study focuses on forecasting of intermittent seasonal demand by taking random demand with a proportion of zero values in the peak sale season. Demand pattern for a regular time i...

This paper develops a mathematical model using differential equations and considers a bullwhip effect in a supply chain network with multiple retailers and distributors. To ensure the stability of the entire system and reduce the bullwhip effect, a robust control method and an inventory replenishment policy are proposed. This shows that the choice of the output matrix may reduce the bullwhip ef...

In this paper we develop an economic order quantity model to investigate the optimal replenishment policies for instantaneous deteriorating items under inflation and trade credit. Demand rate is a linear function of selling price and decreases negative exponentially with time over a finite planning horizon. Shortages are allowed and partially backlogged. Under these conditions, we model the ret...