• 대한임베디드공학회논문지
• /
• 제2권3호
• /
• pp.145-154
• /
• 2007

Dynamic update of kernel can change kernel functionality and fix bugs in runtime. Dynamic update is important because it leverages availability, reliability and flexibility of kernel. An instruction-granularity update technique has been used for dynamic update. However, it is difficult to apply update technique for a commodity operating system kernel because development and maintenance of update code must be performed with assembly language. To overcome this difficulty, we design the function-granularity dynamic update system which uses high-level language such as C language. The proposed update system makes the development and execution of update convenient by providing the development environment for update code which is same for kernel development. We implement this system for Linux and demonstrate an example of update for do_coredump() function which is reported it has a vulnerable point for security. The update was successfully executed.

• 한국정보과학회논문지:시스템및이론
• /
• 제35권5호
• /
• pp.223-230
• /
• 2008

동적인 커널의 업데이트는 복잡한 운영체제 커널의 빈번한 기능 개선 및 버그 수정을 동작 중인 커널의 중단없이 수행하는 것이다. 동적인 업데이트를 위해서는 주로 명령어 단위의 업데이트 기법이 사용되지만 어셈블리 언어 수준에서 개발 및 유지, 보수가 이루어지기 때문에 실제 커널에 적용하기 어렵다. 이런 문제점을 극복하기 위해 우리는 C 언어 수준에서 함수 단위로 동적인 커널 업데이트를 수행하는 시스템을 설계하고 리눅스에 구현하였다. 이 시스템은 업데이트 개발 환경을 커널의 개발 환경과 일치시킴으로써 업데이트의 개발과 수행을 편리하게 하여 실제 커널에의 활용 가능성을 증대시킨다. 우리는 이렇게 증대된 활용 가능성을 실제로 알아보기 위해 이 업데이트 시스템을 이용하여 EXT3 파일 시스템을 간단하게 업데이트하는 사례를 보였다.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제13권3호
• /
• pp.189-202
• /
• 2009

In this paper we propose new primal-dual interior point algorithms for $P_*(\kappa)$ linear complementarity problems based on a new class of kernel functions which contains the kernel function in [8] as a special case. We show that the iteration bounds are $O((1+2\kappa)n^{\frac{9}{14}}\;log\;\frac{n{\mu}^0}{\epsilon}$) for large-update and $O((1+2\kappa)\sqrt{n}log\frac{n{\mu}^0}{\epsilon}$) for small-update methods, respectively. This iteration complexity for large-update methods improves the iteration complexity with a factor $n^{\frac{5}{14}}$ when compared with the method based on the classical logarithmic kernel function. For small-update, the iteration complexity is the best known bound for such methods.

• 대한수학회보
• /
• 제46권3호
• /
• pp.521-534
• /
• 2009

In this paper we present new large-update primal-dual interior point algorithms for $P_*$ linear complementarity problems(LAPS) based on a class of kernel functions, ${\psi}(t)={\frac{t^{p+1}-1}{p+1}}+{\frac{1}{\sigma}}(e^{{\sigma}(1-t)}-1)$, p $\in$ [0, 1], ${\sigma}{\geq}1$. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for $P_*$ LAPS. We showed that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for $P_*$ LAPS have $O((1+2+\kappa)n^{{\frac{1}{p+1}}}lognlog{\frac{n}{\varepsilon}})$ complexity bound. When p = 1, we have $O((1+2\kappa)\sqrt{n}lognlog\frac{n}{\varepsilon})$ complexity which is so far the best known complexity for large-update methods.

• 한국정보과학회논문지:컴퓨팅의 실제 및 레터
• /
• 제14권8호
• /
• pp.808-812
• /
• 2008

최근 시스템의 복잡도가 증가함에 따라 보안 취약점 문제가 더욱 많이 발생하고 있다. 이를 해결하기 위해 보안 패치가 배포되고 있지만, 시스템 서비스의 중단이 필요하고 패치 자체의 안정성이 검증되지 못해 패치의 적용이 늦어지는 문제가 발생한다. 우리는 이러한 문제를 해결하기 위해 업데이트성이 없는 커널을 위한 함수 단위 동적 업데이트 시스템인 DUNK를 설계하였다. DUNK는 서비스 중단 없는 업데이트를 가능케 하고, 보안 기법인 MAFIA를 통해 안전한 업데이트를 수행한다 MAFIA는 바이너리 패치 코드의 접근 행위를 분석함으로써 패치된 함수가 기존 함수의 접근 권한을 상속받도록 하고, 이를 검증하는 기술을 제공한다. 본 논문에서는 DUNK의 설계와 MAFIA의 알고리즘 및 수행에 대해 기술한다.

• East Asian mathematical journal
• /
• 제26권1호
• /
• pp.9-23
• /
• 2010

In this paper we generalize large-update primal-dual interior point methods for linear optimization problems in [2] to the $P_*(\kappa)$ linear complementarity problems based on a new kernel function which includes the kernel function in [2] as a special case. The kernel function is neither self-regular nor eligible. Furthermore, we improve the complexity result in [2] from $O(\sqrt[]{n}(\log\;n)^2\;\log\;\frac{n{\mu}o}{\epsilon})$ to $O\sqrt[]{n}(\log\;n)\log(\log\;n)\log\;\frac{m{\mu}o}{\epsilon}$.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제11권4호
• /
• pp.69-88
• /
• 2007

In this paper we propose new large-update primal-dual interior point algorithms for $P_{\neq}({\kappa})$ linear complementarity problems(LCPs). New search directions and proximity measures are proposed based on a specific class of kernel functions, ${\psi}(t)={\frac{t^{p+1}-1}{p+1}}+{\frac{t^{-q}-1}{q}}$, q>0, $p{\in}[0,\;1]$, which are the generalized form of the ones in [3] and [12]. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for $P_*({\kappa})$LCPs. We showed that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for $P_*({\kappa})$ LCPs have the best known complexity $O((1+2{\kappa}){\sqrt{2n}}(log2n)log{\frac{n}{\varepsilon}})$ when p=1 and $q=\frac{1}{2}(log2n)-1$.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제12권4호
• /
• pp.227-238
• /
• 2008

In this paper we extend primal-dual interior point algorithm for linear optimization (LO) problems to $P_*({\kappa})$ linear complementarity problems(LCPs) ([1]). We define proximity functions and search directions based on kernel functions, ${\psi}(t)=\frac{t^{p+1}-1}{p+1}-{\log}\;t$, $p{\in}$[0, 1], which is a generalized form of the one in [16]. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for $P_*({\kappa})$ LCPs. We show that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for $P_*({\kappa})$ LCPs have $O((1+2{\kappa})nlog{\frac{n}{\varepsilon}})$ complexity which is similar to the one in [16]. For small-update methods, we have $O((1+2{\kappa})\sqrt{n}{\log}{\frac{n}{\varepsilon}})$ which is the best known complexity so far.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제13권1호
• /
• pp.41-53
• /
• 2009

A primal-dual interior point method(IPM) not only is the most efficient method for a computational point of view but also has polynomial complexity. Most of polynomialtime interior point methods(IPMs) are based on the logarithmic barrier functions. Peng et al.([14, 15]) and Roos et al.([3]-[9]) proposed new variants of IPMs based on kernel functions which are called self-regular and eligible functions, respectively. In this paper we define a new kernel function and propose a new IPM based on this kernel function which has $O(n^{\frac{2}{3}}log\frac{n}{\epsilon})$ and $O(\sqrt{n}log\frac{n}{\epsilon})$ iteration bounds for large-update and small-update methods, respectively.

• East Asian mathematical journal
• /
• 제25권1호
• /
• pp.55-68
• /
• 2009

In this paper we propose new large-update primal-dual inte-rior point algorithms for $P_*(\kappa)$ linear complementarity problems(LCPs). New search directions and proximity measures are proposed based on the kernel function$\psi(t)=\frac{t^{p+1}-1}{p+1}+\frac{e^{\frac{1}{t}}-e}{e}$,$p{\in}$[0,1]. We showed that if a strictly feasible starting point is available, then the algorithm has $O((1+2\kappa)(logn)^{2}n^{\frac{1}{p+1}}log\frac{n}{\varepsilon}$ complexity bound.