Suchergebnisse - (abstrakty OR abstracts) computational complexity for mathematical programming problems

  1. 1

    The Traveling Salesman Problem: A Computational Study von Applegate, David L, Bixby, Robert E, Chvátal, Vašek, Cook, William J

    ISBN: 9780691129938, 0691129932, 1400841100, 9781400841103
    Veröffentlicht: Princeton Princeton University Press 2011
    “… This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem …”
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    E-Book Buch
  2. 2

    A comment on “computational complexity of stochastic programming problems von Hanasusanto, Grani A., Kuhn, Daniel, Wiesemann, Wolfram

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
    Veröffentlicht in Mathematical programming (01.09.2016)
    “… Although stochastic programming problems were always believed to be computationally challenging, this perception has only recently received a theoretical …”
    Volltext
    Journal Article
  3. 3

    NP-hardness of deciding convexity of quartic polynomials and related problems von Ahmadi, Amir Ali, Olshevsky, Alex, Parrilo, Pablo A., Tsitsiklis, John N.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.02.2013
    Veröffentlicht in Mathematical programming (01.02.2013)
    “… ) is globally convex. This solves a problem that has been open since 1992 when N. Z. Shor asked for the complexity of deciding convexity for quartic polynomials …”
    Volltext
    Journal Article
  4. 4

    Computational complexity of stochastic programming problems von Dyer, Martin, Stougie, Leen

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Heidelberg Springer 01.07.2006
    Veröffentlicht in Mathematical programming (01.07.2006)
    “… the theoretical complexity of a variety of stochastic programming problems studied in this literature …”
    Volltext
    Journal Article
  5. 5

    Lower complexity bounds of first-order methods for convex-concave bilinear saddle-point problems von Ouyang, Yuyuan, Xu, Yangyang

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021
    Veröffentlicht in Mathematical programming (01.01.2021)
    “… On solving a convex-concave bilinear saddle-point problem (SPP), there have been many works studying the complexity results of first-order methods …”
    Volltext
    Journal Article
  6. 6

    Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming von Xu, Yangyang

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021
    Veröffentlicht in Mathematical programming (01.01.2021)
    “… For these problems, we establish the global convergence rate of the inexact ALM and estimate its iteration complexity in terms of the number of gradient evaluations to produce a primal and/or primal …”
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    Journal Article
  7. 7

    On the computational complexity of membership problems for the completely positive cone and its dual von Dickinson, Peter J. C., Gijben, Luuk

    ISSN: 0926-6003, 1573-2894
    Veröffentlicht: Boston Springer US 01.03.2014
    Veröffentlicht in Computational optimization and applications (01.03.2014)
    “… Copositive programming has become a useful tool in dealing with all sorts of optimisation problems …”
    Volltext
    Journal Article
  8. 8

    An abstract model for branching and its application to mixed integer programming von Le Bodic, Pierre, Nemhauser, George

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2017
    Veröffentlicht in Mathematical programming (01.11.2017)
    “… The selection of branching variables is a key component of branch-and-bound algorithms for solving mixed-integer programming (MIP …”
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    Journal Article
  9. 9

    Two Projection Neural Networks With Reduced Model Complexity for Nonlinear Programming von Xia, Youshen, Wang, Jun, Guo, Wenzhong

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Veröffentlicht: United States IEEE 01.06.2020
    “… ) for solving nonlinear programming (NP) problems. Compared with existing projection neural networks for solving NP, the proposed two RDPNNs have a low-dimensional state space and low model complexity …”
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    Journal Article
  10. 10

    A Study on the Computational Complexity of the Bilevel Knapsack Problem von Caprara, Alberto, Carvalho, Margarida, Lodi, Andrea, Woeginger, Gerhard J.

    ISSN: 1052-6234, 1095-7189
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014
    Veröffentlicht in SIAM journal on optimization (01.01.2014)
    “… We analyze the computational complexity of three fundamental variants of the bilevel knapsack problem …”
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    Journal Article
  11. 11

    Fault-Tolerant Families of Production Plans: Mathematical Model, Computational Complexity, and Branch-and-Bound Algorithms von Ogorodnikov, Yu. Yu, Rudakov, R. A., Khachai, D. M., Khachai, M. Yu

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.06.2024
    Veröffentlicht in Computational mathematics and mathematical physics (01.06.2024)
    “… The traditional approach to modeling such systems is based on the use of stochastic models that describe the choice of a possible scenario of actions in the event of problems in a production or transportation network …”
    Volltext
    Journal Article
  12. 12

    Complexity of stochastic dual dynamic programming von Lan, Guanghui

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022
    Veröffentlicht in Mathematical programming (01.02.2022)
    “… In this paper, we first establish the number of iterations, i.e., iteration complexity, required by a basic dual dynamic programming method for solving single-scenario multi …”
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    Journal Article
  13. 13

    Iteration complexity of randomized block-coordinate descent methods for minimizing a composite function von Richtarik, Peter, Takac, Martin

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2014
    Veröffentlicht in Mathematical programming (01.04.2014)
    “… ), which cover the smooth case, to composite minimization, while at the same time improving the complexity by the factor of 4 and removing from the logarithmic term …”
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    Journal Article
  14. 14

    Universal gradient methods for convex optimization problems von Nesterov, Yu

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2015
    Veröffentlicht in Mathematical programming (01.08.2015)
    “… Their only essential input parameter is the required accuracy of the solution. At the same time, for each particular problem class they automatically ensure the best possible rate of convergence …”
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  15. 15

    Accelerated gradient methods for nonconvex nonlinear and stochastic programming von Ghadimi, Saeed, Lan, Guanghui

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2016
    Veröffentlicht in Mathematical programming (01.03.2016)
    “… In this paper, we generalize the well-known Nesterov’s accelerated gradient (AG) method, originally designed for convex smooth optimization, to solve nonconvex and possibly stochastic optimization problems …”
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    Journal Article
  16. 16

    Iteration-complexity of first-order augmented Lagrangian methods for convex programming von Lan, Guanghui, Monteiro, Renato D. C.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2016
    Veröffentlicht in Mathematical programming (01.01.2016)
    “… This paper considers a special class of convex programming (CP) problems whose feasible regions consist of a simple compact convex set intersected with an affine manifold …”
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  17. 17

    An Incremental Gradient Method for Optimization Problems with Variational Inequality Constraints von Kaushik, Harshal D., Samadi, Sepideh, Yousefian, Farzad

    ISSN: 0018-9286, 1558-2523
    Veröffentlicht: New York IEEE 01.12.2023
    Veröffentlicht in IEEE transactions on automatic control (01.12.2023)
    “… ) problem in that each agent is associated with a local monotone mapping. This problem finds an application in computation of the best equilibrium in nonlinear complementarity problems arising in transportation networks …”
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  18. 18

    Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models von Birgin, E. G., Gardenghi, J. L., Martínez, J. M., Santos, S. A., Toint, Ph. L.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2017
    Veröffentlicht in Mathematical programming (01.05.2017)
    “… The worst-case evaluation complexity for smooth (possibly nonconvex) unconstrained optimization is considered …”
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    Journal Article
  19. 19

    Bilevel programming and the separation problem von Lodi, Andrea, Ralphs, Ted K., Woeginger, Gerhard J.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2014
    Veröffentlicht in Mathematical programming (01.08.2014)
    “… This paper examines the nature of the so-called separation problem, which is that of generating a valid inequality violated by a given real vector, usually arising as the solution to a relaxation …”
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  20. 20

    An effective computational attempt for solving fully fuzzy linear programming using MOLP problem von Ebrahimnejad, Ali

    ISSN: 2168-1015, 2168-1023
    Veröffentlicht: Abingdon Taylor & Francis 17.02.2019
    Veröffentlicht in Journal of industrial and production engineering (17.02.2019)
    “… ) problem with three-objective functions. This paper provides a new technique for reducing the computational complexity of some current FFLP problems for situations that all imprecise data are represented as nonnegative triangular fuzzy numbers …”
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    Journal Article