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160 articles for “optimal solution”

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Research ArticleOpen accessEvery word in the titleA Zero-Stable Optimal Order Method for Direct Solution of Second Order Differential EquationsKayode Sunday JacobProblem statement: In this study, a numerical method for direct solution of general second order differential equations was considered in order to circumvent the problems of computational burden and computer time wastage associated with method of reduction to system of first order equations. The issue of zero stability of higher order methods is considered in the development of the method. … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,068 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleClosed Form Solution to an Optimal Control Problem by Orthogonal Polynomial ExpansionMohammad Ali Tavallaei, Behrouz TousiIn this study the use of orthogonal polynomials for obtaining a close form solution to optimal control problems with a weighed quadratic cost function, is proposed. The method consists of using the Orthogonal Polynomials for the expansion of the state variables and the control signal. This expansion results in a set of linear equations, from which the closed form solution … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,326 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNumerical Modeling of Economical Market Forces for an Intelligent Delivery of Dynamical Optimal Impact Solution (DOI)Mahmoud Iskandarani, Ghaleb El-RefaeAn intelligent model for the purpose of evaluating and affecting delivery of services as a function of initial capital investment is developed and discussed. The algorithm associated with such a model, maps the principles of sustainability of business success as dependent not only on the content of the business but also on the impact that it has on the beneficiaries … …American Journal of Applied Sciences, Vol. 4, Issue 2 · 28 Feb 2007 · 7,308 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOptimal Pareto Solutions of a Dynamic C Chart: An Application of Statistical Process Control on a Semiconductor Devices Manufacturing ProcessToni Lupo, Filippo SgroiThe present paper proposes a novel economic-statistical design procedure of a dynamic c control chart for the Statistical Process Control (SPC) of the manufacturing process of semiconductor devices. Particularly, a non-linear constrained mathematical programming model is formulated and solved by means of the ϵ-constraint method. A numerical application is developed in order to describe the Pareto frontier, that is the … …American Journal of Applied Sciences, Vol. 12, Issue 4 · 28 May 2015 · 6,473 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMulti-Objective Evolutionary Optimization of Sandwich Structures: An Evaluation by Elitist Non-dominated Sorting Evolution StrategyIlyani Akmar, A.B, O. Kramer, T. RabczukIn this study, an application of evolutionary multi-objective optimization algorithms on the optimization of sandwich structures is presented. The solution strategy is known as Elitist Non-Dominated Sorting Evolution Strategy (ENSES) wherein Evolution Strategies (ES) as Evolutionary Algorithm (EA) in the elitist Non-dominated Sorting Genetic algorithm (NSGA-II) procedure. Evolutionary algorithm seems a compatible approach to resolve multi-objective optimization problems because it … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 22 Apr 2015 · 7,323 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Best Candidates Method for Solving Optimization ProblemsHlayel Abdallah AhmadProblem statement: This study is about describing solution technique called Best Candidates Method (BCM) for solving optimization problems; the goal is to minimize the computation time to get the optimal solution. In this study I apply the BCM to the linear assignment problems (LAP) that is one of the optimization problems in the Operation Research (OR). Approach: The optimization problem … …Journal of Computer Science, Vol. 8, Issue 5 · 27 Feb 2012 · 8,341 accessesView PDFCite
Research ArticleOpen accessIn the keywordsApplication of Optimal Control to the Epidemiology of Fowl Pox Transmission Dynamics in PoultryUdofia Ekere Sunday, Inyama Simeon ChiomaProblem statement: In this study, we present the mathematical model of the transmission dynamics of fowl pox infection in poultry. Approach: It describes the interaction between the susceptible and the infected birds which results in a system of ordinary differential equation. Introducing the control which represents the effort in applying chemoprophylaxis control u1 and treatment control u2 in birds with … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 13 Jun 2012 · 6,955 accessesView PDFCite
Research ArticleOpen accessIn the abstractAdvanced Grasshopper Optimization Scheduling Algorithm (AGOSA) for Multi-Cloud EnvironmentsS. Gowri, A. SumathiThe multi-cloud scheduling problem refers to the challenging task of efficiently allocating and managing resources across multiple cloud environments, involving the optimization of task scheduling, resource allocation to minimize makespan, reduce resource costs, and handle the complexity of multi-cloud environments while making optimal scheduling decisions. To overcome this issue. The paper proposes a novel scheduling algorithm, the Advanced Grasshopper Optimization … …Journal of Computer Science, Vol. 21, Issue 10 · 24 Nov 2025 · 2,646 accessesView PDFCite
Research ArticleOpen accessIn the abstractHybrid Optimization to Trust Enhanced Secure Routing Optimization with IABC and CGWAA for MANETYuvaraja Panneer Selvam, Suganthi PerumalRouting in Mobile Ad Hoc Networks (MANET) presents significant challenges due to the dynamic nature of network topology. Optimal route selection and efficient route discovery are matched by effective routing in MANET. This study proposes a Hybrid Optimization to Trust-Enhanced Secure Routing Optimization (HO-TESRO) designed to address these challenges in IoT environments by integrating metrics such as link stability, bandwidth, … …Journal of Computer Science, Vol. 21, Issue 4 · 19 Mar 2025 · 4,983 accessesView PDFCite
Research ArticleOpen accessIn the abstractPolymer Processing and Performance Testing Based on Kruskal Algorithm for Numerical AnalysisYan TangPolymer processing is an injection molding product widely used in communication, medical, and other fields. The processing and forming of polymers involve complex processes, including many parameter controls to ensure the quality of finished products. This study innovatively uses the Kruskal algorithm to conduct numerical analysis on the performance of polymer processing and molding to obtain a scientifically efficient parameter … …American Journal of Biochemistry and Biotechnology, Vol. 20, Issue 3 · 29 Jul 2024 · 4,270 accessesView PDFCite