A joint replenishment problem is presented to determine the ordering policy for multiple items having a certain percentage of defective units. The purpose of this paper is to study the impact of the percentage of defective units on the ordering policy. Two different scenarios are presented for joint replenishment problem: (1) without price discount and (2) with price discount. For each scenario...

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...

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...

Given the order cycles of items in joint replenishment, no closed-form formula or efficient method is known to compute the exact inventory cost. Previous studies avoid the difficulty by restricting the replenishment policy to the cases where the order cycle of each item is a multiple of the cycle of the most frequently ordered item. This simplifies the computation but may entail sub-optimality ...

We study a non–cooperative game for joint replenishment by n firms that operate under an EOQ–like setting. Each firm decides whether to replenish independently or to participate in joint replenishment,and how much to contribute to joint ordering costs in case of participation. Joint replenishment cycle time is set by an intermediary as the lowest cycle time that can be financed with the private...