Der vorliegende Beitrag zeigt die Formulierung, Implementierung und Auswertung eines mathematischen Optimierungsmodells anhand eines Falls aus der Beratungspraxis, der die schrittweise Weiterentwicklung einer patentbasierten Technologie durch eine neu zu gründende Gesellschaft zum Gegenstand...

We consider the optimal stopping of a class of spectrally negative jump diffusions. We state a set of conditions under which the value is shown to have a representation in terms of an ordinary nonlinear programming problem. We establish a connection between the considered problem and a stopping...

This paper analyses the empirical relationship between Amazonian rainforest deforestation and local population welfare, measuring the impact on welfare if the deforestation area has to be reduced. The Municipal Human Development Index (MHDI) was used to measure welfare. Using 1995 Agriculture...

We present a new piecewise linear approximation of non-linear optimization problems. It can be seen as a variant of classical triangulations that leaves more degrees of freedom to define any point as a convex combination of the samples. For example, in the traditional Union Jack approach a...

The purpose of this paper is to present a new approach to model capacity constraints in discrete choice with at least some capacity-related variables missing, like e.g. the price of a commodity. Airport choice models often do not contain air fares because of measurement difficulties as air fares...

The paper presents methods of linear and nonlinear mathematical programming and their computational implementation in the General Algebraic Modeling System (GAMS). It also presents economic examples and introduces a number of solution algorithms: simplex, gradient, Newton and penalties.

Data Envelopment Analysis (DEA) has been widely studied in the literature since its inception in 1978. The methodology behind the classical DEA, the oriented method, is to hold inputs (outputs) constant and to determine how much of an improvement in the output (input) dimensions is necessary in...