Cost Sharing under Uncertainty: An Algorithmic Approach to Cooperative Interval-Valued Games

Recently, Branzei, Dimitrov, and Tijs (2003) introduced cooperative interval-valued games. Among other insights, the notion of an interval core has been coined and proposed as a solution concept for interval-valued games. In this paper we will present a general mathematical programming algorithm which can be applied to find an element in the interval core. As an example, we discuss lot sizing with uncertain demand to provide an application for interval-valued games and to demonstrate how interval core elements can be computed. Also, we reveal that pitfalls exist if interval core elements are computed in a straightforward manner by considering the interval borders separately.

Die Inszenierung der Bilder Ephemere Architekturen bei Thomas Demand

In den Arbeiten des Künstlers Thomas Demand sind das Ephemere und das Architektonische eng verzahnt: er baut aufwendige Außen- und Innenräume aus Papier, die ihren temporären Charakter durch materialbedingte Fragilität beweisen, vor allem aber durch die Entscheidung, sie nach der finalen photographischen Aufnahme zu zerstören. Das Ephemere reicht aber auch in die Inszenierung der Bilder bei Ausstellungen hinein. Was als Paragone zwischen der Museumsarchitektur eines Jean Nouvel, Peter Zumthor, Mies van der Rohe und der auszustellenden Kunst beginnt, entwickelt sich zum monumentalen Gesamtkunstwerk, bei dem sich zwischen vorhandener Architektur, Ausstellungsarchitektur und Bildern durch Zitat und mimetischen Eingriff vielfältige Dialoge, aber auch Spannungen ergeben.

The effect of demand distributions on the performance of inventory policies

Inventory policies provide instructions on how to calculate stock levels and order quantities. This paper examines the effect of the demand distribution on the performance of several well-known policies. Their performance is compared in terms of achieved service levels. As a conclusion from these comparisons, a nonparametric demand model is proposed to be used in inventory policies.

Meta-model for calculating the mean energy demand of automated storage and retrieval systems

Energy efficiency has become an important research topic in intralogistics. Especially in this field the focus is placed on automated storage and retrieval systems (AS/RS) utilizing stacker cranes as these systems are widespread and consume a significant portion of the total energy demand of intralogistical systems. Numerical simulation models were developed to calculate the energy demand rather precisely for discrete single and dual command cycles. Unfortunately these simulation models are not suitable to perform fast calculations to determine a mean energy demand value of a complete storage aisle. For this purpose analytical approaches would be more convenient but until now analytical approaches only deliver results for certain configurations. In particular, for commonly used stacker cranes equipped with an intermediate circuit connection within their drive configuration there is no analytical approach available to calculate the mean energy demand. This article should address this research gap and present a calculation approach which enables planners to quickly calculate the energy demand of these systems.