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Die Aufgaben über die Teilung des Stangenmaterials

Mária Pôbišová (1978)

Aplikace matematiky

Das Hauptziel dieser Publikation war die Auflösung der 1. Etappe von Aufgaben, die die Teilung des Stangenmaterials betreffen, wobei wird für die 2. Etappe dieser Aufgaben die Auswahl optimaler Zusammensetzung der Schnittpläne, die das Abfallprozent minimalisiert behalten. In diesem Artikel wird die Bestimmung eines Katalogs aller Schnittpläne zu gegebenem Zuschnittsverzeichnis behandelt. Diese Problematik ist aktuell auch bei der Bestimmung des Katalogs der Schnittpläne bei der Lösung von Aufgaben,...

Differential approximation of NP-hard problems with equal size feasible solutions

Jérôme Monnot (2002)

RAIRO - Operations Research - Recherche Opérationnelle

In this paper, we focus on some specific optimization problems from graph theory, those for which all feasible solutions have an equal size that depends on the instance size. Once having provided a formal definition of this class of problems, we try to extract some of its basic properties; most of these are deduced from the equivalence, under differential approximation, between two versions of a problem π which only differ on a linear transformation of their objective functions. This is notably...

Differential approximation of NP-hard problems with equal size feasible solutions

Jérôme Monnot (2010)

RAIRO - Operations Research

In this paper, we focus on some specific optimization problems from graph theory, those for which all feasible solutions have an equal size that depends on the instance size. Once having provided a formal definition of this class of problems, we try to extract some of its basic properties; most of these are deduced from the equivalence, under differential approximation, between two versions of a problem π which only differ on a linear transformation of their objective functions. This is notably...

Differential evolution algorithm combined with chaotic pattern search

Yaoyao He, Jianzhong Zhou, Ning Lu, Hui Qin, Youlin Lu (2010)

Kybernetika

Differential evolution algorithm combined with chaotic pattern search(DE-CPS) for global optimization is introduced to improve the performance of simple DE algorithm. Pattern search algorithm using chaotic variables instead of random variables is used to accelerate the convergence of solving the objective value. Experiments on 6 benchmark problems, including morbid Rosenbrock function, show that the novel hybrid algorithm is effective for nonlinear optimization problems in high dimensional space....

Directions De Majoration D'une Fonction Quasiconvexe Et Applications

Amara, Charki (1998)

Serdica Mathematical Journal

We introduce the convex cone constituted by the directions of majoration of a quasiconvex function. This cone is used to formulate a qualification condition ensuring the epiconvergence of a sequence of general quasiconvex marginal functions in finite dimensional spaces.

Discounted Markov control processes induced by deterministic systems

Hugo Cruz-Suárez, Raúl Montes-de-Oca (2006)

Kybernetika

This paper deals with Markov Control Processes (MCPs) on Euclidean spaces with an infinite horizon and a discounted total cost. Firstly, MCPs which result from the deterministic controlled systems will be analyzed. For such MCPs, conditions that permit to establish the equation known in the literature of Economy as Euler’s Equation (EE) will be given. There will be also presented an example of a Markov Control Process with deterministic controlled system where, to obtain the optimal value function,...

Currently displaying 41 – 60 of 107