More brick-and-mortar retailers open an online channel to increase sales. Often, they use
the store to fulfil online orders and to receive returned products. The uncertain product …

This chapter describes a number of results obtained in the last sixty years in the theory of
non-zero-sum discrete-time stochastic games. We overview almost all basic streams of …

This paper presents sufficient conditions for the existence of stationary optimal policies for
average cost Markov decision processes with Borel state and action sets and weakly …

The goal of this paper is to describe, model, and optimize inventory in a reverse logistics
system that supports the warranty returns and replacements for a consumer electronic …

An important problem in the theory of dynamic programming is that of characterizing
sufficient conditions under which the optimal policies for Markov decision processes (MDPs) …

For general state and action space Markov decision processes, we present sufficient
conditions for the existence of solutions of the average cost optimality inequalities. These …

We study a single-item periodic-review model for the joint pricing and inventory
replenishment problem with returns and expediting. Demand in consecutive periods are …

We consider zero-sum stochastic games with Borel state spaces satisfying a generalized
geometric ergodicity condition. The main objective of this paper is to establish a minimax …

We consider a general infinite horizon inventory control model that combines demand and
supply risks and the firm's ability to mitigate the supply risks by diversifying its procurement …

The stochastic cash balance problem is a periodic review inventory problem faced by a firm
in which the customer demands might be positive or negative. At the beginning of each time …