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11 results for “linear relaxation”
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Research ArticleOpen accessIn the keywordsOn the Successive Overrelaxation MethodI. K. YoussefProblem statement: A new variant of the Successive Overrelaxation (SOR) method for solving linear algebraic systems, the KSOR method was introduced. The treatment depends on the assumption that the current component can be used simultaneously in the evaluation in addition to the use the most recent calculated components as in the SOR method. Approach: Using the hidden explicit characterization of … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 22 Feb 2012 · 12,799 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNew Integer Programming Formulations of the Generalized Travelling Salesman ProblemPetrica C. PopThe Generalized Travelling Salesman Problem, denoted by GTSP, is a variant of the classical travelling salesman problem (TSP), in which the nodes of an undirected graph are partitioned into node sets (clusters) and the salesman has to visit exactly one node from every cluster. In this paper we described six distinct formulations of the GTSP as an integer programming. Apart … …American Journal of Applied Sciences, Vol. 4, Issue 11 · 30 Nov 2007 · 7,200 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Almost Periodic Solutions of Abstract Semilinear Fractional Inclusions with Weyl-Liouville Derivatives of Order γ ∈ (0, 1]Marko KostićThe main aim of this paper is to examine the existence and uniqueness of almost periodic solutions for a class of (semilinear) fractional relaxation inclusions with Stepanov almost periodic coefficients. We deal with the Weyl-Liouville fractional derivatives of order γ ∈ (0, 1], paying special attention to the analysis of semilinear differential inclusions of first order. We use the results … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 26 Jul 2017 · 6,787 accessesView PDFCite
Research ArticleOpen accessIn the abstractAN OPTIMIZATION-BASED HEURISTIC FOR A CAPACITATED LOT-SIZING MODEL IN AN AUTOMATED TELLER MACHINES NETWORKSupatchaya Chotayakul, Peerayuth Charnsetthikul, Juta Pichitlamken, John KobzaThis research studies a cash inventory problem in an ATM Network to satisfy customer’s cash needs over multiple periods with deterministic demand. The objective is to determine the amount of money to place in Automated Teller Machines (ATMs) and cash centers for each period over a given time horizon. The algorithms are designed as a multi-echelon inventory problem with single-item … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 1 Oct 2013 · 7,049 accessesView PDFCite
Research ArticleOpen accessIn the abstractMinimization of ℓ2-Norm of the KSOR OperatorA. I. Alzaki, I. K. YoussefWe consider the problem of minimizing the ℓ2-norm of the KSOR operator when solving a linear systems of the form AX = b where, A = I +B (TJ = -B, is the Jacobi iteration matrix), B is skew symmetric matrix. Based on the eigenvalue functional relations given for the KSOR method, we find optimal values of the relaxation parameter … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 8 Jan 2013 · 7,083 accessesView PDFCite
Research ArticleOpen accessIn the abstractMagneto Convection in Tilted Square Cavity with Differentially Thermally Active Vertical WallsGokila Subbarayalu, Selladurai VelappanProblem statement: The purpose of this study is to study numerically the magnetoconvection in a tilted square cavity with differentially thermally active vertical walls. The two vertical side walls of tilted enclosure are differentially thermally active, each consisting of alternating equal sized hot and cold surface elements facing each other in an opposed manner while the horizontal top and bottom … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 25 May 2011 · 7,355 accessesView PDFCite
Research ArticleOpen accessIn the abstractImproved Dielectric Model for Polyvinyl Alcohol-Water Hydrogel at Microwave FrequenciesYou Kok Yeow, Zulkifly Abbas, Kaida Khalid, Mohamad Zaki Abdul RahmanProblem statement: The study described rigorous dielectric modeling for Polyvinyl Alcohol (PVA)-water hydrogel mixture at microwave frequencies. Approach: A commercial open-ended coaxial sensor was used to measure the dielectric constant, loss factor and ionic conductivity, σ of PVA-water hydrogel mixture ranging concentration of 80-100% water content. Results: The sensor was operating between 0.13 and 20 GHz at and above of … …American Journal of Applied Sciences, Vol. 7, Issue 2 · 28 Feb 2010 · 9,045 accessesView PDFCite
Research ArticleOpen accessIn the abstractMINLP Optimization of Mechanical StructuresS. Šilih, T. Žula, Z. Kravanja, S. KravanjaWe presented optimization of mechanical structures, performed by the Mixed-Integer Nonlinear Programming (MINLP) optimization approach. The MINLP is a combined continuous/discrete optimization technique, where a structural topology and standard/discrete sizes are optimized simultaneously with the continuous variables. Ddiscrete binary 0-1 variables were used to express the discrete decisions. For solution of this non-linear, continuous/discrete and non-convex MINLP class of the … …American Journal of Applied Sciences, Vol. 5, Issue 1 · 31 Jan 2008 · 7,125 accessesView PDFCite
Research ArticleOpen accessIn the abstractTAGN-IDC: Implicit Discrete Constraints for Tsunami Aware Graph Neural Networks in Spatial Evacuation RoutingSularno, Wendi Boy, Putri Anggraini et al.Tsunami evacuation route requires rapid identification of safe evacuation paths under dynamically changing hazard conditions. A major challenge is incorporating hard binary road-blockage constraints caused by tsunami inundation while maintaining end-to-end differentiability for deep learning models. Existing approaches commonly rely on continuous relaxations or stochastic sampling techniques, which either compromise physical feasibility or increase computational complexity. This study proposes the … …Journal of Computer Science, Vol. 22, Issue 9 · 24 Sep 2026 · 704 accessesView PDFCite
Research ArticleOpen accessIn the abstractController Based Observer in Switched System with Norm Bounded UncertaintyMongi Besbes, Elyes MaherziProblem statement: This study discusses the robust stabilization of norm bounded discrete switched systems. Approach: The proposed method is using the second Lyapunov approach and the poly-quadratic function concept. The stabilization conditions are written through linear matrix inequality relations. The control law is based on a static output feedback with the use of a switched observer. The synthesis conditions of … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 11 May 2012 · 6,904 accessesView PDFCite