Wir betrachten hier die Anwendung deterministischer und stochastischer Methoden auf Probleme der Wirtschaftswissenschaften. Verschiedene Versionen des deterministischen Programmierens (h. h. Falle in denen keine zufalligen Variablen auftreten) werden zuerst behandelt. Wenn die Parameter der verschiedenen Versionen des deterministischen Programmierens zufallige Variable sind, haben wir stochastische Programme. Schlieslich befast sich der letzte Abschnitt mit den Algorithmen fur die Berechnung der Losungen.

Mathematische Programmierung und ihre Anwendung auf die Wirtschaft

Gerhard Tintner (1907–1983) published his first scientific studies in the late 1930s, after completing his doctorate in economics, statistics and law at the University of Vienna in 1929. As a distinguished scholar in three major branches: economics, mathematics and statistics, he spent over fifty years of his active life in founding, shaping and extending some of the basic contents of econometrics, its theory and empirical applications to planning, efficiency and economic development. Born in Nuremberg of Austrian parents on September 29, 1907 he became one of the most versatile econometricians of his time, making fundamental contributions in both economic theory and econometrics. His original contributions to economic theory comprise such topics as: general equilibrium models in a dynamic context, demand and production studies under dynamic conditions and a stochastic approach to economics, whereby the mathematical theory of stochastic processes could be integrated in a fundamental sense with the deterministic approach to economic modeling. On seeing the current progress of economic theory in the direction of dynamic and stochastic phenomena, one is struck with a sense of wonder at the vision of Tintner’s work.

Gerhard Tintner

Papers

A note on stochastic programming in a development plan‐reply