Self-stabilizing algorithms are designed to guarantee convergence to some desired stable state from arbitrary initial states arising out of an arbitrarily large number of faults. However, in a well-designed system, the simultaneous occurrence of a large number of faults is rare. It is therefore desirable to design algorithms that are not only self-stabilizing, but also have the ability to recov...

The k-packing problem asks for a subset S of the nodes in a graph such that the distance between any pair of nodes in S is greater than k. This problem has applications to placing facilities in a network. In the current paper we present a self-stabilizing algorithm for computing a maximal k-packing in a general graph. Our algorithm uses a constant number of variables per node. This improves the...

THIS ISSUE of Brookings Papers on Economic Activity contains papers and discussions presented at the fifty-third conference of the Brookings Panel on Economic Activity, which was held in Washington, D.C., on April 2 and 3, 1992. The first paper presents a model of regional economic performance and uses it to examine the general features of regional growth and fluctuations, with insights for the...

One of the indexes of stabilization pond is the presence of coliform bacteria in water and wastewater. This study aimed to determine the effect of solar light on coliform variations in stabilization pond. In this experimental study, the effect of light, pH (<7, 7.1–8, 8.1–9), and temperature (10 ºC and 30 ºC) on facultative stabilization pond was studied for six months. The sampling was accompl...

We derive a novel measure of household income stabilization and analyze how reforms tax-benefit systems in the period 2007–2014 have affected workings automatic stabilizers EU-27. Our results reveal that heterogeneity across EU countries has become slightly smaller over under consideration. With few exceptions, could operate freely early phase financial economic crisis, but were constrained sev...

This paper addresses the problem of chaos control in an economic mathematical dynamical model. By regarding variables as bifurcation parameters, stability equilibria and existence Hopf bifurcations relevance feedback system are investigated, criterion controllability for chaotic is obtained based on a time-delayed technique. Furthermore, numerical simulations provided to demonstrate feasibility...