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If several feeders are cut in a severe accident, distribution networks should be restored by reconfiguring switches automatically with smart grid technologies. Although there have been several restoration algorithms developed to find the new network configuration, they might fail to restore the whole network if the cut critically damaged the network. The networks design has to guarantee that it...

the planning of production and control of inventory problem is one of most important problems that companies are face with them. some times inattention to uncertainty in these problems causes to increase of costs of inventory control systems. one of the important ways encountering to uncertainty is the widespread of fuzzy sets instead of crisp numbers because in this approach, we can determine ...

In this paper, we consider the problem of evaluating (s, t)-cuts in a bounded treewidth graph. In particular, we show how to compute the partition function for weighted cuts of the graph, i.e., the total weight of all (s, t)-cuts where the weight of a single cut is the product of its edge weights. This method can also easily be adapted to work with additive weights for the cost of a cut. We als...

In this paper we are concerned with cuts in models of Samuel Buss' theories of bounded arithmetic, i.e. theories like $S_{2}^i$ and $T_{2}^i$. In correspondence with polynomial induction, we consider a rather new notion of cut that we call p-cut. We also consider small cuts, i.e. cuts that are bounded above by a small element. We study the basic properties of p-cuts and small cuts. In particula...

We extend in two directions the Analytic Center, Cutting Plane Method for Variational Inequalities with quadratic cuts, ACCPM-VI(quadratic cuts), introduced by Denault and Go.n in 1998. First, we de9ne a primal–dual method to 9nd the analytic center at each iteration. Second, the Broyden–Fletcher–Goldfarb– Shanno Jacobian approximation, of quasi-Newton fame, is used in the de9nition of the cuts...