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    Article

    Additively separable duality theory

    In duality theory, there is a trade-off between generality and tractability. Thus, the generality of the Tind-Wolsey framework comes at the expense of an infinite-dimensional dual solution space, even if the p...

    O. E. Flippo, A. H. G. Rinnooy Kan in Journal of Optimization Theory and Applications (1996)

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    Article

    On when to stop sampling for the maximum

    Suppose a sequential sample is taken from an unknown discrete probability distribution on an unknown range of integers, in an effort to sample its maximum. A crucial issue is an appropriate stop** rude deter...

    C. G. E. Boender, A. H. G. Rinnooy Kan in Journal of Global Optimization (1991)

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    Article

    A probabilistic analysis of the multiknapsack value function

    The optimal solution value of the multiknapsack problem as a function of the knapsack capacities is studied under the assumption that the profit and weight coefficients are generated by an appropriate random m...

    M. Meanti, A. H. G. Rinnooy Kan, L. Stougie, C. Vercellis in Mathematical Programming (1990)

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    Article

    Single machine flow-time scheduling with a single breakdown

    We consider the problem of scheduling tasks on a single machine to minimize the flowtime. The machine is subject to breakdowns during the processing of the tasks. The breakdowns occur at a random times and the...

    Igal Adiri, John Bruno, Esther Frostig, A. H. G. Rinnooy Kan in Acta Informatica (1989)

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    Chapter and Conference Paper

    The Design of Interactive Decision Support Systems

    In the Netherlands there is a national research project to design “Decision Support Systems” (DSS). This research project is subsidized by the National Facility of Informatics (NFI). Several universities and c...

    A. H. Vellekoop, C. G. E. Boender in Methodology and Software for Interactive D… (1989)

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    Chapter and Conference Paper

    Mathematical Programming as an Intellectual Activity

    For every scientific discipline, a process of reappraisal and evaluation of the discipline as a whole forms a natural topic for informal discussion among scientists. These discussions — typically held between ...

    A. H. G. Rinnooy Kan in Algorithms and Model Formulations in Mathematical Programming (1989)

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    Article

    Stochastic global optimization methods part I: Clustering methods

    In this stochastic approach to global optimization, clustering techniques are applied to identify local minima of a real valued objective function that are potentially global. Three different methods of this t...

    A. H. G. Rinnooy Kan, G. T. Timmer in Mathematical Programming (1987)

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    Article

    Stochastic global optimization methods part II: Multi level methods

    In Part II of our paper, two stochastic methods for global optimization are described that, with probability 1, find all relevant local minima of the objective function with the smallest possible number of loc...

    A. H. G. Rinnooy Kan, G. T. Timmer in Mathematical Programming (1987)

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    Article

    Order statistics and the linear assignment problem

    Under mild conditions on the distribution functionF, we analyze the asymptotic behavior in expectation of the smallest order statistic, both for the case thatF is defined on (−∞, +∞) and for the case thatF is def...

    J. B. G. Frenk, M. van Houweninge, A. H. G. Rinnooy Kan in Computing (1987)

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    Article

    Bayesian stop** rules for multistart global optimization methods

    By far the most efficient methods for global optimization are based on starting a local optimization routine from an appropriate subset of uniformly distributed starting points. As the number of local optima i...

    C. G. E. Boender, A. H. G. Rinnooy Kan in Mathematical Programming (1987)

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    Book

  15. Article

    Erratum: The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization

    E. L. Lawler, J. K. Lenstra in Journal of the Operational Research Society (1986)

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    Book

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    Book

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    Book

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    Book

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    Chapter and Conference Paper

    Stochastic integer programming: The distribution problem

    A brief summary is given of recent insights into the distribution problem for structured stochastic integer programming problems, as surveyed during the Gargnano conference. The application of these results wi...

    A. H. G. Rinnooy Kan in Stochastic Programming (1986)

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