5 articles for “optimality condition”

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Research ArticleOpen accessPhrase in the titleExtension to Sufficient Optimality Conditions in Complex ProgrammingE. A. Youness, M. E. ElbrolosyIn this study we extend the sufficient optimality conditions of complex programming problems to a large class of functions that include the two parts (real and imaginary) of the objective function. The sufficient conditions were established under generalized forms of convexity assumptions. The previous results that considered the real part only can be deduced as special cases. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,242 accessesView PDF Cite

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 PDF Cite

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 PDF Cite

Research ArticleOpen accessIn the abstractTHE RATE FUNCTION OF S-MIXING PROCESS AND ITS APPLICATION IN EVALUATING EMPIRICAL LIKELIHOOD TESTSXing WangIn this study we show that the rate function of S-Mixing stationary process with part of the hypermixing condition is equivalent to the Kullback-Leibler distance. This finding can be used to extend the result of the optimality of empirical likelihood test in i.i.d setting to weakly depended case, so that the Asymptotic Relative Efficiency (ARE) of the empirical likelihood test … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 28 Oct 2013 · 6,615 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAn Optimal Control Approach to Inventory-Production Systems with Weibull Distributed DeteriorationMd. Azizul Baten, Anton Abdulbasah KamilProblem statement: We studied the inventory-production system with two-parameter Weibull distributed deterioration items. Approach: The inventory model was developed as linear optimal control problem and by the Pontryagin maximum principle, the optimal control problem was solved analytically to obtain the optimal solution of the problem. Results: It was then illustrated with the help of an example. By the principle of … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,549 accessesView PDF Cite