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Titlebook: Optimization; Structure and Applic Charles Pearce,Emma Hunt Book 2009 Springer-Verlag New York 2009 Markov chain.Operations Research.SOIA.d

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New perspectives on optimal transforms of random vectorse solution of the best constrained approximation problem with the approximant formed by a polynomial operator. It is shown that the new transform has advantages over the Karhunen–Loève transform, arguably the most popular transform, which is optimal over the class of linear transforms of fixed rank.
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Analysis of a simple control policy for stormwater management in two connected damsthe first dam and that there is regular demand from the second dam. We wish to choose a control policy from a simple class of control policies that releases an optimal flow of water from the first dam to the second dam. The cost of each policy is determined by the expected volume of water lost throu
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Optimal design of linear consecutive–,–out–of–, systemsar consecutive–.–out–of–. system is an ordered sequence of . components that works if and only if at least . consecutive components work. This chapter establishes necessary conditions for the variant optimal design and procedures to improve designs not satisfying these conditions for linear consecut
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The (,+1)-th component of linear consecutive–,–out–of–, systemsar consecutive–.–out–of–. system is an ordered sequence of . components that works if and only if at least . consecutive components work..The existing necessary conditions for the optimal design of systems with 2. ≤ . provide comparisons between reliabilities of components restricted to positions fr
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Duality and a Farkas lemma for integer programsal duality for integer programs can be derived from the .-transform and Brion and Vergne’s counting formula. Along the same lines, we also provide a discrete Farkas lemma and show that the existence of a nonnegative integral solution . to . can be tested via a linear program.
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Estimating the size of correcting codes using extremal graph problemsmportant from both theoretical and practical perspectives. We solve the problem of finding the largest correcting codes using previously developed algorithms for optimization problems in graphs. We report new exact solutions and estimates.
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