This paper presents an inventory model for deteriorating items over a ®nite time horizon where the demand increases linearly with time. The method is developed by assuming that the successive replenishment cycle lengths are the same. Many O.R. scientists/researchers obtained an optimal replenishment schedule where the replenishment cost is constant in each cycle length over the ®nite time horiz...

This paper examines several inventory replenishment policies for a make-to-order inventory–production system that consists of a production workshop and a warehouse. Demands arrive to the production workshop according to a Poisson process, and are processed in an FCFS manner. The production workshop requires that the warehouse provides, as needed, raw materials for use in the production process....

We examine cooperative games in supply-chain management termed Inventory Games. Supply-chain management has non-cooperative and cooperative interactions between the participating players. We provide a concise survey of cooperative inventory games in the form of extensions on two basic problems. For deterministic games, Economic Order Quantity-like policies with joint replenishment are of primar...

This paper deals with an optimal replenishment policy for deteriorating items with multi-variate demand and partial backlogging. The proposed model allows for (1) multivariate demand replenishment cycles, (2) partial backlogging, and (3) time-varying shortage intervals. Consequently, the proposed model is in a general framework for that inventory models includes these above assumptions. We show...

In this paper we consider a multi-item distribution channel subject to supplier’s credit period and retailer’s promotional effort with sales learning curve. We determine the retailer’s promotional effort for each item and the joint replenishment cycle in both decentralized and centralized decision models. We show that the profits for both parties increase under the centralized decision model wh...

In this paper we analyze the optimal joint decisions of when, how and howmuch to replenish customers with products of varying ages. We discuss the main features of the problem arising in the joint replenishment and delivery of perishable products, and we model them under general assumptions. We then solve the problem by means of an exact branch-and-cut algorithm, and we test its performance on ...