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- A. BARECHE
- 2009

Let f : X × K → R be a separately continuous function and C a countable collection of subsets of K. Following a result of Calbrix and Troallic, there is a residual set of points x ∈ X such that f is jointly continuous at each point of {x}×Q, where Q is the set of y ∈ K for which the collection C includes a basis of neighborhoods in K. The particular case… (More)

We consider a statistical methodology for the study of the strong stability of the M/G/1 queueing system after disrupting the arrival flow. More precisely, we use nonparametric density estimation with boundary correction techniques and the statistical Student test to approximate the G/G/1 system by the M/G/1 one, when the general arrivals law G in the G/G/1… (More)

- A. BARECHE
- 2010

Itzkowitz's problem asks whether every topological group G has equal left and right uniform structures provided that bounded left uniformly continuous real-valued function on G are right uniformly continuous. This paper provides a positive answer to this problem if G is of bounded exponent or, more generally, if there exist an integer p ≥ 2 and a nonempty… (More)

Bouallouche [3] has applied the strong stability method to study the proximity of the G/M/1 and M/M/1 systems when the general distribution of arrivals G is assumed to be hyper-exponantial.
In this paper, we show the applicability of the strong stability method to evaluate an approximation error of the G/M/1 and M/M/1 systems when the general distribution… (More)

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