In this paper, a stochastic term is added to the classical generalized nonlinear Schrödinger Equation to describe the noise generated when light pulses propagate in a fiber. It has been shown that the generated supercontinuum light source fluctuates up to 50% of its output temporal intensity profile due to noises of different sources. The simulation method devised has been applied to the propag...

In this paper, we employ the finite state machine (FSM) model for networks to investigate fault identification using passive testing. First, we introduce the concept of passive testing. Then, we introduce the FSM model with necessary assumptions and justification. We introduce the fault model and the fault detection algorithm using passive testing. Extending this result, we develop the theorems...

Network on a chip (NoC) has been proposed as a viable solution to counter the inefficiency of buses in the current VLSI on-chip interconnects. However, as the silicon chip accommodates more transistors, the probability of transient faults is increasing, making fault tolerance a key concern in scaling chips. In packet based communication on a chip, transient failures can corrupt the data packet ...

In this paper, the controller synthesis problem for fault tolerant control systems (FTCS) with stochastic stability and H2 performance is studied. The system faults of random nature are modeled by a Markov chain. Because the real system fault modes are not directly accessible in the context of FTCS, the controller is reconfigured based on the output of a Fault Detection and Identification (FDI)...

This article provides the stochastic and statistical framework to model software reliability in the presence of an operational profile. The software system is used under a randomly changing operational process so that the failure characteristics depend on the specific operation performed. The operational process describes, in a probabilistic sense, how the software is utilized by the users. The...

A new method for fault detection and isolation (FDI) in stochastic linear time varying (LTV) systems is proposed in this paper. It allows to completely isolate any number of faults regardless of the number of output sensors, thanks to an appropriate assumption on the fault profiles and to some persistent excitation condition. In contrast, most existing methods enabling complete fault isolation ...

The Generalized Likelihood Ratio (GLR) test for fault detection as derived by Willsky and Jones is a recursive method to detect additive changes in linear systems in a Kalman filter framework. Here, we evaluate the GLR test on a sliding window and compare it to stochastic parity space approaches. Robust fault detection defined as being insensitive to faults in the signal space is also studied i...

Like any software, web service fault management is also required to go through different phases of fault management lifecycle. Model based diagnosis has been a well established practice for its several positive aspects including cognitively being better understood by development and testing teams. Automata is a simple and formally well defined model being used for monitoring and diagnosis of sy...