Synthetic Optimization Problem Generation: Show Us the Correlations!

Authors

    Authors

    C. H. Reilly

    Abbreviated Journal Title

    INFORMS J. Comput.

    Keywords

    random variable generation; correlation; 0-1 knapsack problem; generalized assignment problem; capital budgeting problem; set-covering; problem; 0-1 KNAPSACK-PROBLEM; GENERALIZED ASSIGNMENT PROBLEM; SINGLE-MACHINE; ALGORITHMS; PERFORMANCE; BOUNDS; Computer Science, Interdisciplinary Applications; Operations Research &; Management Science

    Abstract

    In many computational experiments, correlation is induced between certain types of coefficients in synthetic (or simulated) instances of classical optimization problems. Typically, the correlations that are induced are only qualified-that is, described by their presumed intensity. We quantify the population correlations induced under several strategies for simulating 0-1 knapsack problem instances and also for correlation-induction approaches used to simulate instances of the generalized assignment, capital budgeting (or multidimensional knapsack), and set-covering problems. We discuss implications of these correlation-induction methods for previous and future computational experiments on simulated optimization problems.

    Journal Title

    Informs Journal on Computing

    Volume

    21

    Issue/Number

    3

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    458

    Last Page

    467

    WOS Identifier

    WOS:000268558800009

    ISSN

    1091-9856

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