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Titlebook: Contributions to Operations Research; Proceedings of the C Klaus Neumann,Diethard Pallaschke Conference proceedings 1985 Springer-Verlag Be

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Contributions to Duality Theory of Certain Nonconvex Optimization Problems,ient duality theorems can be proved. It turns out that the theory of Φ -conjugate functions performs a remarkable contribution to the treatment of nonconvex optimization problems. Contributions to the finite dimensional case are given in /2/, /3/, /4/, /15/, /16/.
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https://doi.org/10.1007/978-3-642-59140-2ast aspect of optimization deals with optimal bounds for the “bonus-hunger” which can be computed by means of dynamic-programming. For the special case of an exponential distribution for the amount of claims, the solution of this optimization is given by the solution of some Bernoulli differential equations.
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Multistate Reliability Problems for GSP-Digraphs,terms of properly chosen subgraphs based on a suitable two vertex connectivity notation..A successive determination of lower and upper bounding distribution functions (and of bounds of the moments, if necessary) of the reliability measure is possible allowing improvements due to the choice of proper subgraph systems.
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A Closed Network Model for I/O Subsystems,We use a closed network model and analyze this by using an adjusted mean-value scheme. In this scheme service times depend on the number of clients in system. We make use of the residual lifetime dis­tribution of the client in disk service. Some experiments show that the model yields accurate results.
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Selection of Solutions by Algorithms,al inequalities (optimization problems, equations, saddle- and equilibrium point problems), then the solutions we obtain, are the solutions of a two stage variational inequality. The inherent difficulty consists in finding the appropriate variational inequality. The numerical behaviour of the method depends on this “second stage inequality”.
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Optimal Stopping and Leavable Gambling Models with the Average Return Criterion,re than one continue action is available. The result of the paper also yields a sufficient condition for the existence of a stationary optimal policy in a leavable gambling house with a compact action space.
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