When we make a telephone call, the call is connected through a communication network to the receiving party. Similarly, when we send an e-mail using the Internet, the message is sent through a communication network to the recipient. Such communication networks are made up of nodes and links that connect the nodes by hardware as well as the software components that allow for the functionality to...

The knowledge of the reliability of distribution network components is important consideration in the system planning and operation, without such knowledge it could be impossible to conduct meaningful reliability studies on power distribution systems. However, the valid data are expensive to collect. The component reliability performance statistics are not easy to obtain. There is always uncert...

Let G = (V,E) be a loopless undirected multigraph, with a probability pe, 0 ≤ pe ≤ 1 assigned to every edge e ∈ E. Let Gp be the random subgraph of G obtained by deleting each edge e of G, randomly and independently, with probability qe = 1 − pe. For any nontrivial subset S ⊂ V let (S, S) denote, as usual, the cut determined by S, i.e., the set of all edges of G with an end in S and an end in i...

By network reliability, we mean the probability of survival of a network for a speciÞed period of time. Obtaining this probability boils down to the formulation and the evaluation of the reliability polynomial. This is a formidable task for networks with a large number of nodes, and an almost impossible task if the node life-times cascade and interact. Consequently, implementing a mathematical ...

The capacity benefit of network coding has been extensively studied in wired and wireless networks. Moreover, it has been shown that network coding improves network reliability by reducing the number of packet retransmissions in lossy networks. However, the extent of the reliability benefit of network coding is not known. In this work, we characterize the reliability benefit of network coding f...

As wireless sensor networks find wide applications nowadays, reliability analysis of them is necessary before commercial deployment of the same. Unpredictable environmental noise, presence of obstacle in signal path, effect of natural phenomena like earthquake or flood severely affects performance of sensor networks. This motivates reliability analysis of them. So, in this thesis we calculate s...

Network properties can be estimated using functional connectivity MRI (fcMRI). However, regional variation of the fMRI signal causes systematic biases in network estimates including correlation attenuation in regions of low measurement reliability. Here we computed the spatial distribution of fcMRI reliability using longitudinal fcMRI datasets and demonstrated how pre-estimated reliability maps...

How do people make legal judgments based on complex bodies of interrelated evidence? This paper outlines a novel framework for evidential reasoning using causal idioms. These idioms are based on the qualitative graphical component of Bayesian networks, and are tailored to the legal context. They can be combined and reused to model complex bodies of legal evidence. This approach is applied to wi...