Large-scale failures triggered by undesirable events such as natural disasters, massive power malfunction, and malicious attacks are attracting serious concerns in communication network infrastructure perspective. However, there have been few survivability strategy analyses in network mobility (NEMO) scenarios. To properly address this issue, this paper proposes two novel survivability strategi...

Allmost all the available tools for the analysis of Stochastic Petri Nets (SPN) assume that the stochastic nature of the problem is restricted to be a Continuous Time Markov Chain (CTMC), but in reality, there are instances in which the CTMC assumption is too weak. The evolution of the stochastic systems with nonexponential timing becomes a stochastic process, for which in general, no analytica...

Renewable energy assisted heterogeneous networks can improve system capacity and reduce conventional energy consumption. In this paper, we propose a semi-Markov decision process (SMDP)-based downlink packet scheduling scheme for solar energy assisted heterogeneous networks (HetNets), where solar radiation is modeled as a continuous-time Markov chain (CTMC) and the arrivals of multi-class downli...

The attack actions analysis for Ad Hoc networks can provide a reference for the design security mechanisms. This paper presents an analysis method of security of Ad Hoc networks based on Stochastic Game Nets (SGN). This method can establish a SGN model of Ad Hoc networks and calculate to get the Nash equilibrium strategy. After transforming the SGN model into a continuous-time Markov Chain (CTM...

Allmost all the available tools for the analysis of Stochastic Petri Nets (SPN) assume that the stochastic nature of the problem is restricted to be a Continuous Time Markov Chain (CTMC), but in reality, there are instances in which the CTMC assumption is too weak. The evolution of the stochastic systems with non-exponential timing becomes a stochastic process, for which in general, no analytic...

A Markov chain in discrete time, {Xn : n ≥ 0}, remains in any state for exactly one unit of time before making a transition (change of state). We proceed now to relax this restriction by allowing a chain to spend a continuous amount of time in any state, but in such a way as to retain the Markov property. As motivation, suppose we consider the rat in the open maze. Clearly it is more realistic ...

A Markov chain in discrete time, {Xn : n ≥ 0}, remains in any state for exactly one unit of time before making a transition (change of state). We proceed now to relax this restriction by allowing a chain to spend a continuous amount of time in any state, but in such a way as to retain the Markov property. As motivation, suppose we consider the rat in the open maze. Clearly it is more realistic ...

Single type and multitype branching process have been used to study the dynamics of a variety of stochastic birth-death type phenomena in biology and physics. Their use in epidemiology goes back to Whittle’s study of a Susceptible–Infected–Recovered (SIR) model in the 1950s. In the case of an SIR model, the presence of only one infectious class allows for the use of single type branching proces...

A Markov chain in discrete time, {Xn : n ≥ 0}, remains in any state for exactly one unit of time before making a transition (change of state). We proceed now to relax this restriction by allowing a chain to spend a continuous amount of time in any state, but in such a way as to retain the Markov property. As motivation, suppose we consider the rat in the open maze. Clearly it is more realistic ...

In the last decade, the improvements of wet-lab techniques is making available novel experimental data about biochemical reactions occurring in single living cells. This information provides evidences that random events arising at the molecular level play important roles in determining the overall behaviour of biological organisms [2, 10]. As a consequence, new interest is rising towards stocha...