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Identifying hub nodes in public transport networks is essential for transport planning, safety evaluation and location advantage research. Some assumptions are first discussed, and a new method based on Markov chain model is proposed to measure the importance of nodes in public transport network. The transition probability is then deduced and the existence and uniqueness of solutions are presented...
Standards and guidelines give advice on the development of qualitative and quantitative criteria to evaluate safety related systems. Success of many modern applications is highly dependent on the correct functioning of complex computer based systems. In some cases, failures in these systems may cause serious consequences in terms of loss of human life. Systems in which failure could endanger human...
This paper studies information diffusion in networks. Traditional models are all history insensitive, i.e. only giving activated nodes a one-time chance to activate each of its neighboring nodes with some probability. But history dependent interactions between people are often observed in real world. This paper propose a new model called the history sensitive cascade model (HSCM) that allows activated...
Many complex systems today, such as robotic networks, automobiles and automated factories, consist of hardware components whose functionality is extended or controlled by embedded software and which exhibit continuous dynamics. We address the problem of monitoring and control in such systems with a twofold contribution. First, we extend probabilistic hierarchical constraint automata (PHCA), introduced...
So far, the research on optical flow has mainly concentrated on motion estimations using the observation of a small number of temporal consecutive frames of an image sequence. The dynamics of the flow field evolution is mostly neglected. Our main concern is to stress that visual motion is a dynamic feature of an image input stream and the more visual data has been observed the more precise and detailed...
Recently, cognitive radio access has received much attention. Spectrum sensing methods are often used for finding free channels to be used by cognitive radios (secondary users). State diagram based approach can be used for analyzing the effects of imperfect spectrum sensing (with false alarms and misdetections). The state diagram consists of two-tuples like (1,2) meaning one primary user and two secondary...
The delay constrained least cost (DCLC) problem is to find the least cost path in a network subject to a delay constraint. Due to its NP-complete property, many heuristic methods have been proposed. However, these methods suffer from either high computation and communication complexity or low success ratio in finding the optimal path, or lack of scalability. In this paper, a new delay constrained...
Grid monitoring, as an important part of any grid systems, is needed to query the state of grid resources and match user requirements with available grid resources. In order to ensure the availability of grid monitoring, the reliability imposed by software or hardware failure happened with unpredictable probability must be assessed. This paper contributes to study the reliability analysis approach...
In this correspondence, we derive a closed-form expression of the error exponent associated with the binary Neyman-Pearson test performed at the fusion center of a distributed detection system where a large number of local detectors take dependent binary decisions regarding a specific phenomenon. We assume that the sensors are equally spaced along a straight line, that their local decisions are taken...
We study the following problem: given a continuous-time Markov chain (CTMC) C, and a linear real-time property provided as a deterministic timed automaton (DTA) A, what is the probability of the set of paths of C that are accepted by A (C satisfies A)? It is shown that this set of paths is measurable and computing its probability can be reduced to computing the reachability probability in a piecewise...
A novel algorithm of UKF-IMM(unscented Kalman filter-interacting multiple model) is proposed to track a maneuvering target with two infrared observers. This algorithm use Markov process to describe switching probability among the models, while weighting means of inputs and outputs of UKF. The simulations of the application of UKF-IMM and EKF-IMM algorithm to maneuvering target tracking using dual...
The process underlying the opening and closing of ion channels in biological can be modelled kinetically as a time-homogeneous Markov chain. How to identify the kinetic constants (transition rates) that measure the 'speed' to jump from one state to another plays a very important role in ion channels. Maximum likelihood method is widely employed for estimating the kinetic constants. However it leads...
This paper proposes a new model by combining an infinite-server queueing model for multi-task processing software system with a perfect debugging model based on Markov process with two types of faults suggested by Lee, Nam and Park. We apply this model for module and integration testing in the testing process. Also, we compute the expected number of tasks whose processes can be completed and the task...
Manufactures and service provider institutes usually need queue theory to optimize their decisions about customers' waiting time. This will help them to specify resources that should be investigated and to provide customers' satisfaction. These two factors, resource allocation and customer satisfaction are so important for companies' survival essentially in a highly competitive environment. So describing...
This paper applies the theory of stochastic processes to quantitatively study the dynamical behavior of mass mind under the influence of "group pressure" quantified by a submissive parameter. A finite state irreducible Markov chain whose transition probability matrix depends on the submissive parameter is introduced to describe the composition and evolution of mass attitudes. The microstructure...
By the evolutionary theory all existing/extinct organisms are descended from a common ancestor. Hence, given a set of organisms, a phylogenetic tree (phylogeny) can be reconstructed showing the evolutionary relationships among a set of biological organisms. The commonly used methods for reconstruction do not make full use of the input information and uncertainty exists in the reconstructed trees....
The discrete-state continuous-time processes occurring in binding and release of analytes in affinity-based biosensors are formulated using stochastic differential equations (SDEs). The Fokker Planck (FP) equation is used to solve for the governing probability density function (pdf) of the number of captured analytes. A derivation method from the Markovian Master equation to the Fokker Planck equation...
The landmark plan play an important role in scheduling management for large-scale project. In this paper the concept of landmark event completion date of fuzzy proposed, and realize the completion date of fuzzy based on the fuzzy network technology; the Markov trait of landmark event is discussed, give the calculation method of one step transition probability according to the calculation of fuzzy...
The main goal of this paper is to investigate the presence of jumps in Shanghai Inter-bank Offered Rate (SHIBOR), which is Chinese money market benchmark interest rate, and compare interest rate models of SHIBOR based on MCMC Method. Although SHIBOR has become an important interest rate, on which a lot of derivatives underlie, it is less studied. The Markov Chain Monte Carlo method is applied to analyze...
The article proposes a new method for calculating occupancy distribution and blocking/loss probability in the limited availability group with bandwidth reservation. The proposed method makes it possible to model groups servicing multi-service BPP traffic streams (Binomial-Poisson-Pascal). The proposed method is based on the analysis of the service process occurring in the considered system on the...
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