Search Results - (abstract OR abstracts) computational complexity for mathematical programming problems

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  1. 1

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer-Verlag 01.02.2013
    Published 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…”
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    Journal Article
  2. 2

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2017
    Published 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
  3. 3

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

    ISBN: 9780691129938, 0691129932, 1400841100, 9781400841103
    Published: 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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    eBook Book
  4. 4

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
    Published 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…”
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    Journal Article
  5. 5

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

    ISSN: 0025-5610, 1436-4646
    Published: Heidelberg Springer 01.07.2006
    Published in Mathematical programming (01.07.2006)
    “… the theoretical complexity of a variety of stochastic programming problems studied in this literature…”
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    Journal Article
  6. 6

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021
    Published 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…”
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    Journal Article
  7. 7

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

    ISSN: 0926-6003, 1573-2894
    Published: Boston Springer US 01.03.2014
    “…Copositive programming has become a useful tool in dealing with all sorts of optimisation problems…”
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    Journal Article
  8. 8

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021
    Published 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
  9. 9

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

    ISSN: 1052-6234, 1095-7189
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014
    Published 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
  10. 10

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

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: 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
  11. 11

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2014
    Published 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
  12. 12

    Extracting New Dispatching Rules for Multi-objective Dynamic Flexible Job Shop Scheduling with Limited Buffer Spaces by Teymourifar, Aydin, Ozturk, Gurkan, Ozturk, Zehra Kamisli, Bahadir, Ozan

    ISSN: 1866-9956, 1866-9964
    Published: New York Springer US 01.01.2020
    Published in Cognitive computation (01.01.2020)
    “… times and machine breakdowns occur stochastically. Limited-buffer conditions are also considered, increasing the problem complexity…”
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    Journal Article
  13. 13

    Foundations of Software Science and Computation Structures: 24th International Conference, FOSSACS 2021, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021, Luxembourg City, Luxembourg, March 27 - April 1, 2021, Proceedings by FOSSACS, Kiefer, Stefan, Tasson, Christine, European Conferences on Theory and Practice of Software

    ISBN: 3030719952, 9783030719951, 3030719944, 9783030719944
    Published: Cham Springer Nature 2021
    “…This open access book constitutes the proceedings of the 24th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2021, which was held during March 27…”
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    eBook Book
  14. 14

    The Space of Interaction by Accattoli, Beniamino, Lago, Ugo Dal, Vanoni, Gabriele

    Published: IEEE 29.06.2021
    “…The space complexity of functional programs is not well understood. In particular, traditional implementation techniques are tailored to time efficiency…”
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    Conference Proceeding
  15. 15

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

    ISSN: 0965-5425, 1555-6662
    Published: Moscow Pleiades Publishing 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…”
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    Journal Article
  16. 16

    Complexity of stochastic dual dynamic programming by Lan, Guanghui

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022
    Published 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
  17. 17

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2014
    Published 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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    Journal Article
  18. 18

    Iteration-complexity of first-order penalty methods for convex programming by Lan, Guanghui, Monteiro, Renato D. C.

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer-Verlag 01.04.2013
    Published in Mathematical programming (01.04.2013)
    “… under an affine transformation. It studies the computational complexity of quadratic penalty based methods for solving the above class of problems…”
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    Journal Article
  19. 19

    Universal gradient methods for convex optimization problems by Nesterov, Yu

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2015
    Published 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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    Journal Article
  20. 20

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

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2016
    Published 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