This study investigates a two-echelon supply chain model for deteriorating inventory in which the retailer’s warehouse has a limited capacity. The system includes one wholesaler and one retailer and aims to minimise the total cost. The demand rate in retailer is stock-dependent and in case of any shortages, the demand is partially backlogged. The warehouse capacity in the retailer (OW) is limit...

Abstract -In this paper, we developed a fuzzy optimal replenishment policy for Inventory models of Weibull Deterioration items with Ramp type Demand under permissible delay in payments. Deterioration of items begins on their arrival in stock. The shortages are allowed and partially backlogged. All the inventory costs involved in this model are taken as triangular fuzzy numbers. Replenishment cy...

An inventory system for non-instantaneous deteriorating items with price-dependent demand is formulated and solved. A model is developed in which shortages are allowed and partially backlogged, where the backlogging rate is variable and dependent on the waiting time for the next replenishment. The major objective is to determine the optimal selling price, the length of time in which there is no...

We propose a digital signature scheme for dynamic coalitions. Particularly, we enable members to join and leave. Our scheme does not need trusted or oblivious third parties (TTPs or OTPs). In this distributed scheme there is a changing secret group key dependent on the members in the group. Each member’s secret key remains the same for all group compositions. The downside of this approach is th...

In this paper we formulate a two-stage stochastic quadratic optimization problem, that models a production planning problem of multiple products, over several time periods, with uncertain demands. This model considers quadratic inventory holding and demand backlogging recourse costs, which model the saturation phenomenon inherent to the increase of the inventory and/or backlogged demand levels....

The practical experiences reveal that the Supply Chain Management (SCM) is under uncertain and variable conditions. One of the most important parts of SCM is inventory system management which is inherently in non-deterministic situation. The many departments of organization such as warehouse, marketing, sale, purchasing, financial, planning, production, maintenance and etc. are relevance to the...

This paper deals with the two-warehouse partial backlogging inventory problems under inflation for a deteriorating product with a constant demand rate over an infinite horizon. In contrast to the traditional model in which each replenishment cycle starts with an instant replenishment and ends with shortages, an alternative model is proposed in recent literature in which each cycle starts with s...

In this paper, we consider a serial two-echelon periodic review inventory system with two supply modes at the most upstream stock point. As control policy for this system, we propose a natural extension of the dual-index policy, which has three base-stock levels. We consider the minimization of long run average inventory holding, backlogging, and both per unit and fixed emergency ordering costs...