We study an infinite horizon model, where a seller orders his product in batches of fixed size. A sales strategy determines both the order moments and the sales path between these moments. Under some natural conditions on the seller's revenue function, the strategy that maximizes the seller's...

This paper demonstrates optimal policies for capacitated serial multiechelon production/inventory systems. Extending the Clark and Scarf (1960) model to include installations with production capacity limits, we demonstrate that a modified echelon base-stock policy is optimal in a two-stage...

This paper examines a common assertion that customers in reward programs become "locked in" as they accumulate credits toward earning a reward. We define a measure of switching costs and use a dynamic structural model of demand in a reward program to illustrate that frequent customers' purchase...

In this paper we consider the uncapacitated economic lot-size model, where demand is adeterministic function of price. In the model a single price need to be set for all periods. Theobjective is to find an optimal price and ordering decisions simultaneously. In 1973 Kunreuther and Schrage...

In this note we present an efficient exact algorithm to solve the joint pricing and inventoryproblem for which Bhattacharjee and Ramesh (2000) proposed two heuristics. Our algorithmappears to be superior also in terms of computation time. Furthermore, we point out several mistakes in the paper...

We show the existence of average cost (AC-) optimal policy for an inventory system with uncountable state space; in fact, the AC-optimal cost and an AC-optimal stationary policy are explicitly computed. In order to do this, we use a variant of the vanishing discount factor approach, which has been...

This paper describes a method for solving a class of forward-looking Markov-switching Rational Expectations models under noisy measurement, by specifying the unobservable expectations component as a general-measurable function of the observable states of the system, to be determined optimally...

These notes provide an intuitive introduction to dynamic programming. The first two Sections, which can be skipped, present the standard deterministic Ramsey model using the Lagrangian approach. Section 3 reformulates the Ramsey problem by means of a Bellman equation, while Section 4 shows how...

Based on a dynamic life cycle model, this study analyzes health-related risks of consumption and old-age poverty. The model allows for health effects on employment risks, on productivity, on longevity, the correlation between health risks, productivity and preferences, and the financial...

The focus of our analysis is on nexus issues among energy use, incomes, employment, investment decisions, and agricultural production for meeting food and feed demands, as well as health-related effects on rural households. As an example we investigate potential policies, such as public...