This paper advocates the use of self-stabilization as a provable property to achieve the goals of the self-* paradigms for systems, including availability, reliability, serviceability, disaster recovery and autonomic computing. Several recent results starting from hardware concerns, through the operating system, and ending in the applications are integrated: the selfstabilizing microprocessor [...

This paper presents feasibility tests for scheduling instances of real-time jobs on uniform multiprocessor platforms. In a uniform multiprocessor, each processor has an associated speed – a job executing on a processor of speed s for t time units performs s × t units of work. Two feasibility tests are presented. First, a sufficient condition is presented – whenever this condition holds the jobs...

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We have discussed how to handle this test when σ is known. But how should we proceed if it is unknown? One option is the GLRT, discussed above. However, (a) we must estimate μ and (b) Wilk’s theorem only tells us that the test statistic corresponding to maximum likelihood estimates of σ and μ is asymptotically chi-squared. For small n, then, it can be difficult to set a threshold to achieve a d...

Three-stage t-tests of separated one-sided hypotheses are derived, extending Lorden’s optimal three-stage tests for the one-dimensional exponential family by using Lai and Zhang’s generalization of Schwarz’s optimal fully-sequential tests to the multiparameter exponential family. The resulting three-stage t-tests are shown to be asymptotically optimal, achieving the same average sample size as ...

New explicit exponential stability conditions are presented for the non-autonomous scalar linear functional differential equation $$ \dot{x}(t) + \sum_{k=1}^m a_k(t)x(h_k(t)) \int_{g(t)}^t K(t,s) x(s)ds=0, where $h_k(t)\leq t$, $g(t)\leq $a_k(\cdot)$ and kernel $K(\cdot,\cdot)$ oscillatory and, generally, discontinuous functions. The proofs based on establishing boundedness of solutions later u...

staphylococcus aureus is a major causative pathogen of clinical and subclinical mastitis of dairy domestic ruminants. this agent produces a variety of extracellular toxins and virulence factors including toxic shock syndrome toxin-1 (tsst-1) which is the major cause of toxic shock syndrome (tss). in this study 58 s. aureus isolates obtained from 9 dairy herds in east and west azerbaijan prov...

Let 1 ≤ s < t, N ≥ 1 be integers and a complex electronic circuit of size t is said to be an s-active, s ≪ t, and can work as a system block if not more than s elements of the circuit are defective. Otherwise, the circuit is said to be an s-defective and should be substituted for the s-active circuit. Suppose that there exists a possibility to check the s-activity of the circuit using N non-ada...