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140122 ||| eng |
| 020 |
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|a 9783642455674
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| 100 |
1 |
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|a Hammer, G.
|e [editor]
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| 245 |
0 |
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|a Selected Topics in Operations Research and Mathematical Economics
|h Elektronische Ressource
|b Proceedings of the 8th Symposium on Operations Research, Held at the University of Karlsruhe, West Germany August 22–25, 1983
|c edited by G. Hammer, Diethard Pallaschke
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| 250 |
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|a 1st ed. 1984
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1984, 1984
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| 300 |
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|a X, 482 p
|b online resource
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| 505 |
0 |
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|a I: Optimization Theory -- A method for linearly constrained minimization problems -- On a class of nonconvex optimization problems -- Lower semicontinuity of marginal functions -- A new approach to symmetric quasiconvex conjugacy -- Generalized convexity, functional hulls and applications to conjugate duality in optimization -- Conjugation Operators -- Global minimization of a difference of two convex functions -- Closures and neighbourhoods induced by tangential approximations -- II: Control Theory -- On the principal of “Internal Modelling” in linear control theory -- On optimal observability of Lipschitz systems -- III: Mathematical Economics -- Convergence of ?-fields and applications to mathematical economics -- Optimal growth policies for resource-dependent open economies -- A characterization of the proportional income tax -- Duality in the theory of social choice -- Nonlinear models of business cycle theory --
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| 505 |
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|a Existence of economic equilibrium: new results and open problems -- IV: Game Theory -- Silent duel with accuracies less than 1 -- Extensions and modifications of the ?-value for cooperative games -- Stochastic games with state independent transitions and separable rewards -- Core stability and duality of effectivity functions -- A procedure for computing the f-nucleolus of a cooperative game -- V: Graph Theory -- An O(nlogn)-algorithm for the minimum cost flow problem in trees -- A construction for strongly greedy ordered sets -- Plane constructions for graphs, networks and maps measurements of planarity -- On two problems related to the traveling salesman problem on Halin graphs -- VI: Fixed Point Theory -- Piecewise linear approximation of solution manifolds for nonlinear systems of equations -- Periodic orbits of semiflows — local indices and sections -- VII: Statistics andMeasure Theoretic Concepts -- Monotone decision rules for the two-armed bandit --
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| 505 |
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|a On the existence of monotone optimal decision rules -- Integral representation of functionals on arbitrary sets of functions -- Invariance properties of the Banach algebra of Darboux integrable functions -- Construction of locally extremal measure extensions -- Generalized fox integral equations solved by functional equations -- VIII: Applications -- An algorithm for linear multiple-choice Knapsack problem -- New algorithms and results of numerical experiments for solution of mathematical programming and optimal control problems -- Methods of determining systems of time-table arranging with predetermined area -- Some remarks on the relation between mathematics, computer science, and medicine
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| 653 |
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|a Operations research
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| 653 |
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|a Quantitative Economics
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| 653 |
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|a Econometrics
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| 653 |
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|a Operations Research and Decision Theory
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| 700 |
1 |
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|a Pallaschke, Diethard
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Lecture Notes in Economics and Mathematical Systems
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| 028 |
5 |
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|a 10.1007/978-3-642-45567-4
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-642-45567-4?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 330.9
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| 520 |
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|a Let eRN be the usual vector-space of real N-uples with the usual inner product denoted by (. ,. ). In this paper P is a nonempty compact polyhedral set of mN, f is a real-valued function defined on (RN continuously differentiable and fP is the line- ly constrained minimization problem stated as : min (f(x) I x € P) • For computing stationary points of problemtj) we propose a method which attempts to operate within the linear-simplex method structure. This method then appears as a same type of method as the convex-simplex method of Zangwill [6]. It is however, different and has the advantage of being less technical with regards to the Zangwill method. It has also a simple geometrical interpretation which makes it more under standable and more open to other improvements. Also in the case where f is convex an implementable line-search is proposed which is not the case in the Zangwill method. Moreover, if f(x) = (c,x) this method will coincide with the simplex method (this is also true in the case of the convex simplex method) i if f(x) = I Ixl 12 it will be almost the same as the algorithm given by Bazaraa, Goode, Rardin [2]
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