This paper deals with an i * Corresponding author Email address:   nventory system with one central warehouse and a number of identical retailers. We consider perishable-on-the-shelf items; that is, all items have a fixed shelf life and start to age on their arrival at the retailers. Each retailer faces Poisson demand and employs (1, T) inventory policy. Although demand not met at a retai...

Transportation problem is a linear programming which considers minimum cost for shipping a product from some origins to other destinations such as from factories to warehouse, or from a warehouse to supermarkets. To solve this problem simplex algorithmis utilized. In real projects costs and the value of supply and demands are fuzzy numbers and it is expected that optimal solutions for determini...

‎This paper proposes a multi-supplier multi-product inventory model in which the suppliers have unlimited production capacity, allow delayed payment, and offer either an all-unit or incremental discount. The retailer can delay payment until after they have sold all the units of the purchased product. The retailer’s warehouse is limited, but the surplus can be stored in a rented warehouse at a...

In this paper, a multi-product continues review inventory control problem within batch arrival queuing approach (MQr/M/1) is modeled to find the optimal quantities of maximum inventory. The objective function is to minimize summation of ordering, holding and shortage costs under warehouse space, service level, and expected lost-sales shortage cost constraints from retailer and warehouse viewpoi...

When the theory of constraints (TOC) supply chain replenishment system (TOC-SCRS) is deployed in a plant or a central warehouse, replenishment frequency (RF) becomes one of the important decision parameters and depends on the sales or replenishment quantity (RQ) in the plant. The higher RF is preferred by TOC for the low inventory and the fast response to different market requirements. However,...

Abstract A model for inventory systems with multiple products is studied. Demands of items are time-dependent and follow power patterns. Shortages allowed fully backlogged. For this system, our findings provide the efficient policy that helps decision-makers to obtain initial levels reorder points maximize profit per unit time. Moreover, when it assumed warehouse used storage has a limited capa...

There are several explanations as to why warehouse clubs charge membership fees and how the fees play a role in the competitive landscape of the retail grocery market. We provide another insight into the nature of the membership fee using a model of price competition between a warehouse club and a supermarket. We show that the warehouse club’s membership fee is an optimal competitive reaction t...