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Selective bi-coordinate variations for resource allocation type problems

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  • I. V. Konnov

    (Kazan Federal University)

Abstract

We suggest a modification of the coordinate descent methods for resource allocation problems, which keeps the basic convergence properties of the gradient ones, but enables one to reduce the total computational expenses and to provide all the computations in a distributed manner. We describe applications to economic (auction) equilibrium problems and give preliminary results of computational tests.

Suggested Citation

  • I. V. Konnov, 2016. "Selective bi-coordinate variations for resource allocation type problems," Computational Optimization and Applications, Springer, vol. 64(3), pages 821-842, July.
    • Handle: RePEc:spr:coopap:v:64:y:2016:i:3:d:10.1007_s10589-016-9824-2
    DOI: 10.1007/s10589-016-9824-2
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    References listed on IDEAS

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    1. Andrei Patrascu & Ion Necoara, 2015. "Efficient random coordinate descent algorithms for large-scale structured nonconvex optimization," Journal of Global Optimization, Springer, vol. 61(1), pages 19-46, January.
    2. C. J. Lin & S. Lucidi & L. Palagi & A. Risi & M. Sciandrone, 2009. "Decomposition Algorithm Model for Singly Linearly-Constrained Problems Subject to Lower and Upper Bounds," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 107-126, April.
    3. Amir Beck, 2014. "The 2-Coordinate Descent Method for Solving Double-Sided Simplex Constrained Minimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 162(3), pages 892-919, September.
    4. Allevi, E., Gnudi, A. & Konnov, I.V., 2001. "Combined relaxation method with Frank-Wolfe type auxiliary procedures for variational inequalities over product sets," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 12(1), pages 1-9.
    5. Ion Necoara & Andrei Patrascu, 2014. "A random coordinate descent algorithm for optimization problems with composite objective function and linear coupled constraints," Computational Optimization and Applications, Springer, vol. 57(2), pages 307-337, March.
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    Cited by:

    1. Igor Konnov, 2021. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 332-355, February.
    2. Andrea Cristofari, 2019. "An almost cyclic 2-coordinate descent method for singly linearly constrained problems," Computational Optimization and Applications, Springer, vol. 73(2), pages 411-452, June.

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