We study a single-product single-location inventory system under periodic review, where excess demand is lost and the replenishment lead time is positive. The performance measure of interest is the long-run average holding cost and lost sales penalty cost. For a large class of demand...

We study periodic-review inventory replenishment problems with fixed ordering costs, and show the optimality of (s, S) inventory replenishment policies. Inventory replenishment is instantaneous, i.e., the lead time is zero. We consider several sales mechanisms, e.g., auction mechanisms,...

Time-based item fill rates, or "channel" fill rates, are the building blocks needed to evaluate steady-state compliance with time-based customer service agreements. Exact computation of channel fill rates is both difficult and time-consuming, yet their accurate assessment is essential for...

In the paper by Graves and Schwarz [Graves, Stephen C., Leroy B. Schwarz. 1977. Single cycle continuous review policies for arborescent production/inventory systems. Management Sci. 23 (5, January) 529-540.], we observed an error in their discussion of optimal policies for the one warehouse-m...

In practice, most multi-echelon inventory systems are managed using adaptations of single location methods. This paper shows that such methods can be dramatically inferior to methods designed to take advantage of a system's structure. This is especially true in repair parts inventory systems...

The purpose of this paper is to describe a mathematical model, called MOD-METRIC, for the control of a multi-item, multi-echelon, multi-indenture inventory-system for recoverable items, that is, items subject to repair when they fail. Discussion is limited to two-echelon multi-item systems in...