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90 articles for “Convergence Problem”
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Research ArticleOpen accessIn the abstractA Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line SearchAwad Abdelrahman, Osman O.O. Yousif, Khalid I. OsmanNonlinear Conjugate Gradient (CG) methods are extensively used for solving large-scale unconstrained optimization problems. Numerous of studies constructed scales and modifications have been conducted recently to improve (CG) methods. In this paper, a simple modified by its conjugate gradient method was proposed. In addition to, established global convergence property and sufficient descent condition, under Strong Wolfe line search. Numerical result … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 May 2020 · 6,743 accessesView PDFCite
Research ArticleOpen accessIn the abstractQuay Crane Scheduling in Container Terminals Using a Hybrid Genetic AlgorithmAidi Sanaa, Torbi Imane, Mazouzi MohamedContainer terminals are crucial nodes within the global supply chain, playing a vital role in the efficient movement of goods. Effective scheduling of Quay Cranes (QCs) is a key factor in maximizing port productivity and minimizing delays. This research investigates the Quay Crane Scheduling Problem (QCSP) using a Hybrid Genetic Algorithm (HGA). The proposed HGA method combines the exploratory power … …Journal of Computer Science, Vol. 21, Issue 1 · 26 Dec 2024 · 6,007 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Developed Version of Conjugate Gradient Method With a New Parameter for Dai-Liao Conjugacy Condition With an Application to Solar PanelAhmad Alhawarat, Ramadan Sabra, Mehiddin Al-Baali et al.Conjugate Gradient (CG) methods are broadly employed in solving bigger-scale unconstrained optimization problems. Two famous methods are the Hestenes–Stiefel (HS) as well as Polak–Ribière–Polyak (PRP) CG methods, which usually work well in practice. However, they cannot satisfy the Global Convergence (GC) property. To retain and enhance the previous practical behavior as well as rectify the latter difficulty, this paper constructs … …Journal of Computer Science, Vol. 21, Issue 7 · 15 Jul 2025 · 3,147 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Model of the Relationship between BGP Convergence Delay and Network TopologiesYahia Hasan JazyahBGP is a distant vector inters Autonomous System (AS) routing protocol that comes up after EGP to eliminate the inefficiency of EGP with respect to flexibility and scalability and to give support of an actual routing protocol. BGP handles the scalability problem using Classless Inter-Domain Routing (CIDR) and solves the inefficiency of EGP by accumulating all the possible route information … …Journal of Computer Science, Vol. 14, Issue 1 · 1 Jan 2018 · 9,248 accessesView PDFCite
Research ArticleOpen accessIn the abstractSufficient Descent Condition of the Polak-Ribière-Polyak (PRP) Conjugate Gradient Method without Line SearchAbdelrahman A., KH. I. Osman, Osman O.O. Yousif et al.Nonlinear conjugate gradient methods for unconstrained optimization problems are used in many aspects of theoretical and applied sciences. They are iterative methods, so at any iteration a step length is computed using a method called line search. In most cases, the sufficient descent condition plays an important role to prove the global convergence of a conjugate gradient method. Due to … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 14 Mar 2022 · 6,360 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Numerical Approach for Evaluating the Convergence-Confinement Curve of a Rock Tunnel Considering Hoek-Brown Strength CriterionPierpaolo OresteThe convergence-confinement method is frequently used for the analysis of the behavior of a tunnel and to define the support structures necessary to guarantee its stability. The reasons why it is used extensively, at least in the preliminary study phases of a tunnel are: The fundamental parameters of the problem (the diameter and depth of the tunnel, as well as … …American Journal of Applied Sciences, Vol. 11, Issue 12 · 14 Jan 2015 · 6,642 accessesView PDFCite
Research ArticleOpen accessIn the abstractAssessing Convergence of the Markov Chain Monte Carlo Method in Multivariate CaseDenismar Alves Nogueira, Thelma Safadi, Daniel Furtado Ferreira, Eric Batista FerreiraThe formal convergence diagnosis of the Markov Chain Monte Carlo (MCMC) is made using univariate and multivariate criteria. In 1998, a multivariate extension of the univariate criterion of multiple sequences was proposed. However, due to some problems of that multivariate criterion, an alternative form of calculation was proposed in addition to the two new alternatives for multivariate convergence criteria. In … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 8 Jan 2013 · 7,019 accessesView PDFCite
Research ArticleOpen accessIn the abstractHybridization of Genetic Algorithm with Parallel Implementation of Simulated Annealing for Job Shop SchedulingThamilselvan Rakkiannan, Balasubramanie PalanisamyProblem statement: The Job Shop Scheduling Problem (JSSP) is observed as one of the most difficult NP-hard, combinatorial problem. The problem consists of determining the most efficient schedule for jobs that are processed on several machines. Approach: In this study Genetic Algorithm (GA) is integrated with the parallel version of Simulated Annealing Algorithm (SA) is applied to the job shop … …American Journal of Applied Sciences, Vol. 9, Issue 10 · 25 Aug 2012 · 7,056 accessesView PDFCite
Research ArticleOpen accessIn the abstractCombined Heuristic Technique for Optimization of Bloom Filter in Spam FilteringArulanand Natarajan, S. Subramanian, K. PremalathaProblem statement: Spam is an irrelevant or inappropriate message sent on the internet to a large number of newsgroups or users. A spam word is a list of well-known words that often appear in spam mails. Bloom Filter (BF) is used for identification of spam word. Approach: BF is a simple but powerful data structure that can check membership to … …Journal of Computer Science, Vol. 7, Issue 9 · 27 Jul 2011 · 7,226 accessesView PDFCite
Research ArticleOpen accessIn the abstractComplete Convergence of Exchangeable SequencesGeorge StoicaWe prove that exchangeable sequences converge completely in the Baum-Katz sense under the same conditions as i.i.d. sequences do. Problem statement: The research was needed as the rate of convergence in the law of large numbers for exchangeable sequences was previously obtained under restricted hypotheses. Approach: We applied powerful techniques involving inequalities for independent sequences of random variables. Results: We … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,741 accessesView PDFCite