• 대한교통학회지
• /
• 제25권6호
• /
• pp.33-42
• /
• 2007

우리나라는 하절기 기후 특성으로 인해 매년 집중호우와 태풍으로 수해를 경험하고 있다. 자연재해인 수해는 많은 재산피해와 인명피해를 유발시킬 수 있기 때문에 이에 대한 사전관리대책이 요구된다. 본 연구에서는 재난관리 시점을 예방 및 대비에 중점을 둔 예측 최적화 시뮬레이션을 이용한 교통방재 개념에 근거하여 수해 시 피해를 최소화 할 수 있는 방안으로 우회교통정보 제공 및 교통류 관리방안을 제시하였다. 연구의 결과로는 첫째 폭우나 폭설로 인한 감속 운행 시 교통상황에 적합한 연동신호운영으로 평균통행속도가 증가할 가능성을 보여주었으며, 둘째 도시부 도로에서 일부구간 침수 시 변동부등식 기반의 Route Guidance전략을 제안하여 차량과 운전자를 위험상황으로부터 안전하게 보호하고, 이로 인한 네트워크 전체의 소통악화를 비상 신호 Mode(좌회전 규제 해제) 등을 통해 개선할 여지를 보여주었다.

• 대한수학회논문집
• /
• 제24권3호
• /
• pp.381-393
• /
• 2009

Strong convergence theorems on viscosity approximation methods for finding a common zero of a finite family accretive operators are established in a reflexive and strictly Banach space having a uniformly G$\hat{a}$teaux differentiable norm. The main theorems supplement the recent corresponding results of Wong et al. [29] and Zegeye and Shahzad [32] to the viscosity method together with different control conditions. Our results also improve the corresponding results of [9, 16, 18, 19, 25] for finite nonexpansive mappings to the case of finite pseudocontractive mappings.

• 충청수학회지
• /
• 제30권2호
• /
• pp.273-284
• /
• 2017

In this paper, we study that the solutions to perturbed differential system $$y^{\prime}=f(t,y)+{{\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^{t}}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$$ have uniformly Lipschitz stability by imposing conditions on the perturbed part ${\int_{t0}^{t}}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y) using integral inequalities.

• Journal of applied mathematics & informatics
• /
• 제32권5_6호
• /
• pp.609-619
• /
• 2014

Nonsmooth equations with finitely many maximum functions is often used in the study of complementarity problems, variational inequalities and many problems in engineering and mechanics. In this paper, we consider the global convergence methods for nonsmooth equations with finitely many maximum functions. The steepest decent method and the smoothing gradient method are used to solve the nonsmooth equations with finitely many maximum functions. In addition, the convergence analysis and the applications are also given. The numerical results for the smoothing gradient method indicate that the method works quite well in practice.

• 대한수학회보
• /
• 제49권4호
• /
• pp.749-759
• /
• 2012

A globally convergent algorithm for solving equilibrium problems is proposed. The algorithm is based on a proximal point algorithm (shortly (PPA)) with a positive definite matrix M which is not necessarily symmetric. The proximal function in existing (PPA) usually is the gradient of a quadratic function, namely, ${\nabla}({\parallel}x{\parallel}^2_M)$. This leads to a proximal point-type algorithm. We first solve pseudomonotone equilibrium problems without Lipschitzian assumption and prove the convergence of algorithms. Next, we couple this technique with the Banach contraction method for multivalued variational inequalities. Finally some computational results are given.

• East Asian mathematical journal
• /
• 제24권2호
• /
• pp.191-199
• /
• 2008

In this paper, we introduce and studied a system of nonlinear projection equations with perturbation in Hilbert spaces. By using the fixed point theorem, we prove an existence of solution for this system of nonlinear projection equations. We construct an algorithm for approximating the solution of the system of nonlinear projection equations with perturbation and show that the iterative sequence generated by the algorithm converges to the solution of the system of nonlinear projection equations with perturbation under some suitable conditions.

• Journal of applied mathematics & informatics
• /
• 제6권1호
• /
• pp.309-320
• /
• 1999

Models of single-server queues with vacations have been widely used to study the performance of many computer communi-cation and production systems. In this paper we analyze an M/G/1 queue with generalized vacations and exhaustive service. This sys-tem has been shown to possess a stochastic decomposition property. That is the customer waiting time in this system is distributed as the sum of the waiting time in a regular M/G/1 queue with no va-cations and the additional delay due to vacations. Herein a general formula for the additional delay is derived for a wide class of vacation policies. The formula is also extended to cases with multiple types of vacations. Using these new formulas existing results for certain vacation models are easily re-derived and unified.

• 대한수학회지
• /
• 제45권1호
• /
• pp.1-27
• /
• 2008

We introduce a new concept of convex spaces and a multimap class K having certain KKM property. From a basic KKM type theorem for a K-map defined on an convex space without any topology, we deduce ten equivalent formulations of the theorem. As applications of the equivalents, in the frame of convex topological spaces, we obtain Fan-Browder type fixed point theorems, almost fixed point theorems for multimaps, mutual relations between the map classes K and B, variational inequalities, the von Neumann type minimax theorems, and the Nash equilibrium theorems.

• Kyungpook Mathematical Journal
• /
• 제62권3호
• /
• pp.533-555
• /
• 2022

In this paper, we introduce a new algorithm for finding a solution of an equilibrium problem in a real Hilbert space. Our paper extends the single projection method to pseudomonotone variational inequalities, from a 2018 paper of Shehu et. al., to pseudomonotone equilibrium problems in a real Hilbert space. On the basis of the given algorithm for the equilibrium problem, we develop a new algorithm for finding a common solution of a equilibrium problem and fixed point problem. The strong convergence of the algorithm is established under mild assumptions. Several of fundamental experiments in finite (infinite) spaces are provided to illustrate the numerical behavior of the algorithm for the equilibrium problem and to compare it with other algorithms.