We derive a new equation for the optimal investment boundary of a general irreversible investment problem under exponential Lévy uncertainty. The problem is set as an infinite time-horizon, two-dimensional degenerate singular stochastic control problem. In line with the results recently...

Die Steuerung von logistischen Systemen ist aufgrund der Abhängigkeiten der einzelnen Entscheidungen (beispielsweise der Auswahl eines Einlagerplatzes) eine rechenintensive Aufgabe, die nicht in Echtzeit optimal lösbar ist. Erschwerend ist im praktischen Einsatz, dass die Aufträge online...

In this paper we formulate the Risk Management Control problem in the interest rate area as a constrained stochastic portfolio optimization problem. The utility that we use can be any continuous function and based on the viscosity theory, the unique solution of the problem is guaranteed. The...

We consider the stochastic control model with finite time horizon for a mixed duopoly R&D (Research and Development) race between the profit-maximizing private firm and welfare maximizing public firm. In our two-firm stochastic control R&D race model, the stochastic control variable is taken to...

The problems caused by state and local revenue volatility are inherently challenging. The State of Oregon has an especially volatile revenue structure, which can cause all sorts of problems as the state moves through the business cycle. Nevertheless, we have concluded that these problems are...

In this work we propose and analyze a model which addresses the pulsing behavior of sellers in an online auction (online store). This pulsing behavior is observed when sellers switch between advertising and processing states. We assert that a seller switches her state in order to maximize her...

This paper links Hotelling's theory, in recent literature applied to an emission constrained environment, with the classical capacity planning framework to describe portfolio time-paths in electricity production. Emission targets are considered by a ceiling on the stock of pollution. We propose...