# Models Of Network Reliability Analysis Combinatorics And Monte Carlo Pdf

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- Reliability Analysis With Monte Carlo Simulation and
- The Cross-Entropy Method for Network Reliability Estimation
- Monte Carlo method
- Reliability Analysis With Monte Carlo Simulation and

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Consider a network of unreliable links, modelling for example a communication network. Estimating the reliability of the network—expressed as the probability that certain nodes in the network are connected—is a computationally difficult task. In this paper we study how the Cross-Entropy method can be used to obtain more efficient network reliability estimation procedures. We show that the Cross-Entropy method yields a speed-up over all three techniques. This is a preview of subscription content, access via your institution.

## Reliability Analysis With Monte Carlo Simulation and

Monte Carlo methods , or Monte Carlo experiments , are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be deterministic in principle. They are often used in physical and mathematical problems and are most useful when it is difficult or impossible to use other approaches. Monte Carlo methods are mainly used in three problem classes: [1] optimization , numerical integration , and generating draws from a probability distribution. In physics-related problems, Monte Carlo methods are useful for simulating systems with many coupled degrees of freedom , such as fluids, disordered materials, strongly coupled solids, and cellular structures see cellular Potts model , interacting particle systems , McKean—Vlasov processes , kinetic models of gases. Other examples include modeling phenomena with significant uncertainty in inputs such as the calculation of risk in business and, in mathematics, evaluation of multidimensional definite integrals with complicated boundary conditions.

## The Cross-Entropy Method for Network Reliability Estimation

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## Monte Carlo method

We present a brief survey of the current state of the art in network reliability. We survey only exact methods and do not consider Monte Carlo methods. Most network reliability problems are, in the worst case, NP-hard and are, in a sense, more difficult than many standard combinatorial optimization problems. Nevertheless, there are, in fact, linear and polynomial time algorithms for network reliability problems of special structure. We review general methods for network reliability computation and discuss the central role played by domination theory in network reliability computational complexity.

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### Reliability Analysis With Monte Carlo Simulation and

Reliability analysis and improvement of multilevel converters. Doctoral thesis, Nanyang Technological University, Singapore. It can reduce the operating cost of motor drive system significantly.

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