This paper studies a one-shot inventory replenishment problem with dynamic pricing. The customer arrival rate is assumed to follow a geometric Brownian motion. Homogeneous customers have an isoelastic demand function and do not behave strategically. We find a closed-form optimal pricing policy, which utilizes current demand information. Under this pricing policy the inventory trajectory is dete...

In many industrial environments there is a significant class of problems for which the perishable nature of the inventory cannot be ignored in developing replenishment order plans. Food is the most salient example of a perishable inventory item. In this work, we consider the periodic-review, single-location, single-product production/inventory control problem under non-stationary stochastic dem...

This paper discusses the economic order quantity ( EOQ ) under partial trade credit. In 1985, Goyal assumed that: (i) The unit selling price and the unit purchasing price were equal. (ii) The supplier would offer the retailer full trade credit under condition of delay payments. The main purpose of this paper wants to modify Goyal’s model to presume that the unit selling price and the unit purch...

We address a stochastic single item production system in a make-to-stock environment with partial knowledge on future demand resulting from customers ordering in advance of their actual needs. The problem consists of determining the optimal size of a production lot to replenish inventory, so that delivery promises are met on time at the expense of minimal average costs. For this problem an opti...

Keywords: Assemble-to-order (ATO) Inventory Stochastic program Optimal policy Multi-dimensional newsvendor model a b s t r a c t In this paper we introduce a multi-stage stochastic program that provides a lower bound on the long-run average inventory cost of a general class of assemble-to-order (ATO) inventory systems. The stochastic program also motivates a replenishment policy for these syste...

We consider the joint pricing and inventory control problem for a single product whose demand distribution in each period is determined both by whether or not a sale price is offered in the current period, and the number of periods since the last time the sale price was offered. We show that optimal inventory ordering policy is a state dependent base stock policy; however, the optimal pricing p...

Adaptive base stock policy is a well-known tool for managing inventories in non-stationary demand environments. This paper presents empirical tests of this policy using aggregate, firmlevel data. First, we extend a single-item adaptive base stock policy in previous literature to a multi-item case. Second, we transform the policy derived for the multi-item case to a regression model that relates...

Production, maintenance, and quality are often modeled as separate problems, despite the strong link that exists between these primary components of any manufacturing system. This paper deals with an integrated approach for the joint optimization of production-inventory control and preventive maintenance policy for a manufacturing cell comprising an imperfect process where the ‘in-control’ peri...

POMS 22 nd Annual Conference Reno, Nevada, U.S.A. April 29 to May 2, 2011 Abstract: MTS-MTO system is suitable where standard modules are shared by various finished products through divergent finalization. The system can satisfy product variety by taking advantage of flexibility of MTO, but its performance is lowered when the capacity is constrained. One way of dealing with the problem without ...

9/9/01 Inventory Theory Inventory Theory.S1 Inventory Models This chapter will consider several model types. Supplement 2 describes deterministic models. Even though many features of an inventory system involve uncertainty of some kind, it is common to assume much simpler deterministic models for which solutions are found using calculus. Deterministic models also provide a base on which to inco...