Stochastic networks with multiple stable points

Stochastic Networks with Multiple Stable Points

This paper analyzes stochastic networks consisting of a set of finite capacity sites where different classes of individuals move according to some routing policy. The associated Markov jump processes are analyzed under a thermodynamic limit regime, that is, when the networks have some symmetry properties and when the number of nodes goes to infinity. An intriguing stability property is proved: ...

Stable integration rules with scattered integration points

A general method for near-best approximations to functionals on R, using scattered-data information, is applied for producing stable multidimensional integration rules. The rules are constructed to be exact for polynomials of degree 6m and, for a quasi-uniform distribution of the integration points, it is shown that the approximation order is O(h) where h is an average distance between the data...

Passivity Analysis of Stochastic Neural Networks With Multiple Time Delays

This paper deals with the problem of passivity analysis for stochastic neural networks with leakage, discrete and distributed delays. By using delay partitioning technique, free weighting matrix method and stochastic analysis technique, several sufficient conditions for the passivity of the addressed neural networks are established in terms of linear matrix inequalities (LMIs), in which both th...

Detailed Scheduling of Tree-like Pipeline Networks with Multiple Refineries

In the oil supply chain, the refined petroleum products are transported by various transportation modes, such as rail, road, vessel and pipeline. The latter provides one of the safest and cheapest ways to connect production areas to local markets. This paper addresses the operational scheduling of a multi-product tree-like pipeline connecting several refineries to multiple distribution centers ...

An Efficient and Stable Method for Computing Multiple Saddle Points with Symmetries