W consider the problem of allocating demand that originates from multiple sources among multiple inventory locations. Demand from each source arrives dynamically according to an independent Poisson process. The cost of fulfilling each order depends on both the source of the order and its fulfillment location. Inventory at all locations is replenished from a shared production facility with a fin...

The classical Economic Order Quantity (EPQ) models consider that the production rate is fixed and constant. But in many manufacturing and production processes the production rate is a function of stock on hand. For this sort of situations we develop and analyze an EPQ model with the assumption that the production rate is a function of the on-hand inventory and demand is a function of selling pr...

We study a production-inventory system with multiple unreliable supply sources. Through inspection and rework the system can improve the quality of the units received from the supply sources. There are two interleaved decisions: the replenishment quantities from the sources and the inspection-rework quantities among the units received. We show the optimal solution to the replenishment decision ...

In this article, we study an inventory system for items that have a power demand pattern and where shortages are allowed. We suppose only fixed proportion of during the stock-out period is backordered. The decision variables cycle ratio between initial stock total quantity demanded throughout cycle. objective to maximize Return on Inventory Investment (ROII) defined as profit per unit time over...

Two production systems with inventory-level-dependent demand are considered and Pontryagin maximum principle is used to determine the optimal control.

This paper presents a production-inventory model for deteriorating items with stock-dependent demand under inflation in a random planning horizon. The supplier offers the retailer fully permissible delay in payment. It is assumed that the time horizon of the business period is random in nature and follows exponential distribution with a known mean. Here learning effect is also introduced for th...

We consider a two-stage production-inventory system. Each stage is made of an exponential production server and an output inventory. The downstream inventory faces a Poisson demand and each inventory receives product returns that can be either accepted or rejected. The objective is to find a production/admission policy minimizing the expected discounted costs over an infinite horizon. We consid...