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Chinese Physics B 2015年第12期24卷 65-73页

作者：张传彪黎明周昕 School of Physical Sciences University of Chinese Academy of Sciences

Ensemble simulations, which use multiple short independent trajectories from dispersive initial conformations, rather than a single long trajectory as used in traditional simulations, are expected to sample complex systems such as biomolecules much more efficiently. The re-weighted ensemble dynamics（RED） is designed to combine these short trajectories to reconstruct the global equilibrium distribution. In the RED, a number of conformational functions, named as basis functions,are applied to relate these trajectories to each other, then a detailed-balance-based linear equation is built, whose solution provides the weights of these trajectories in equilibrium distribution. Thus, the sufficient and efficient selection of basis functions is critical to the practical application of RED. Here, we review and present a few possible ways to generally construct basis functions for applying the RED in complex molecular systems. Especially, for systems with less priori knowledge, we could generally use the root mean squared deviation（RMSD） among conformations to split the whole conformational space into a set of cells, then use the RMSD-based-cell functions as basis functions. We demonstrate the application of the RED in typical systems, including a two-dimensional toy model, the lattice Potts model, and a short peptide system. The results indicate that the RED with the constructions of basis functions not only more efficiently sample the complex systems, but also provide a general way to understand the metastable structure of conformational space.

关键词： ensemble simulation equilibrium distribution reweighting basis functions peptide

M^x/M/c Queue with catastrophes and state-dependent control at idle time

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Frontiers of Mathematics in China 2017年第6期12卷 1427-1439页

作者： Junping LI Lina ZHANG School of Mathematics and Statistics Central South University Changsha 410083 China School of Mathematics and Computational Science Xiangtan University Xiangtan 411105 China

We consider an MX/M/c queue with catastrophes and state- dependent control at idle time. Properties of the queues which terminate when the servers become idle are first studied. Recurrence, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no catastrophes. All of these properties and the first effective catastrophe occurrence time are then investigated for the case of resurrection and catastrophes. In particular, we obtain the Laplace transform of the transition probability for the absorbing MX/M/c queue.

关键词： Markovian bulk-arriving queues equilibrium distribution queue size recurrence effective catastrophe

THE QUEUE-LENGTH distribution FOR M^x/G/1 QUEUE WITH SINGLE SERVER VACATION

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Acta Mathematica Scientia 2000年第3期20卷 397-408页

作者：唐应辉唐小我 Department of Applied Mathematics Management College Univerisity of Electronic Science & Technology of China Chengdu 610054 China

This paper studies the bulk-arrival M-x/G/1 queue with single server vacation. By introducing the server busy period and using the Laplace transform, the recursion expression of the Laplace transform of the transient queue-length distribution is derived. Furthermore, the distribution and stochastic decomposition result of the queue length at a random point in equilibrium are obtained. Especially some results for the single-arrival M/G/1 queue with single server vacation and bulk-arrival M-x/G/1 queue but with no server vacation can be derived directly by the results obtained in this paper.

关键词： server vacation queue length transient distribution equilibrium distribution stochastic decomposition

distribution of Phosphorus between CaO-CaF2 Slag and Fe-C-P Melt

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Journal of Iron and Steel Research(International) 2005年第1期12卷 5-8页

作者： WANG Qing-xiang ZHOU Jian-jian DU Xiao-jian Wuhan University of Science and Technology

The equilibrium distribution ratio of phosphorus between CaO-CaF2 molten slag and Fe-C-P melt at 1450 ℃ was *** phosphate capacity of slag and the activity coefficient of phosphorus oxide were calculated.

关键词： molten slag hot metal phosphorus equilibrium distribution dephosphorization

SOME NEW PARTIAL ORDERINGS DESCRIBING AGING PROPERTY

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Applied Mathematics(A Journal of Chinese Universities) 1997年第4期12卷 381-388页

作者： DENG YONGLU AND YIN XIAOLING Department of Mathematics Zhongshan University Guangzhou

The concept of aging, which is very useful in reliability theory, describes the adverse or beneficial effects of age on the lifetime of systems. Several partial orderings of life distributions have been introduced. In this article some more partial orderings of life distributions are introduced mainly by means of the equilibrium distribution. And conversely, a group of new aging classes of life distrbutions can be derived from these orderings.

关键词： Life distribution aging class partial ordering equilibrium distribution

equilibrium Analysis for Anycast in WDM Networks

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Journal of Shanghai University(English Edition) 2005年第1期9卷 12-14页

作者：唐矛宁王汉兴 Department of Mathematics Shanghai University Shanghai 200444 P.R. ChinaFaculty of Science Huzhou Teachers College Huzhou 313000 P.R. China Department of Mathematics Shanghai University Shanghai 200444 P.R. China

In this paper, the wavelength-routed WDM network was analyzed for the dynamic case where the arrival of anycast requests was modeled by a state-dependent Poisson process. The equilibrium analysis was also given with t... 详细信息

关键词： wavelength division multiplexing (WDM) networks anycast requests equilibrium distribution Poisson process.

An M/G/1 Queueing System with Delay Server Vacations

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Systems Science and Systems Engineering 1998年第1期8卷 29-36页

作者： TANG Yinghui\ TANG Xiaowo (Department of Applied Math.,Management college,Univer.of Electronic Science and Technology of China, Chengdu,Sichuan 610054

In this paper we study the transient property of the queue length for the M/G/1 queueing system with delay server *** the server busy period and the Laplace transformation we directly obtain the recursion formula of the L transformation of the transient queue length distribution at time t , and also the recursion formula of the equilibrium distribution for calculating *** will be seen, this paper provides an intuitive and elegant method for studying transient properties of M/G/1 type queueing systems.

关键词： Queue length transient distribution equilibrium distribution server vacation

The Queue Length distribution for M/G/1 Queue with Delay Single Server Vacation

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Systems Science and Systems Engineering 2000年第2期10卷 171-178页

作者： TANG Ying\|hui,\ TANG Xiao\|woSichuan University, Chengdu 610064 University of Electronic Science & Technology of China, Chengdu 610054

In this paper we study the transient and equilibrium distributions of the queue length for the M/G/1 queueing system with delay single server *** the server busy period and the Laplace transformation we directly obtain the recursion formula of the L transformation of the transient queue length distribution at any time t , as well as the recursion formula of the equilibrium distribution for calculating *** we obtain the stochastic decompositions of the queue length and waiting time in equilibrium.

关键词： queue length transient distribution equilibrium distribution delay single server vacation

Salient Object Detection Via Multi-layer Markov Chain

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Salient Object Detection Via Multi-layer Markov Chain