zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Generation of teletraffic of generalized Cauchy type. (English) Zbl 1191.90013
Summary: Generation of long-range-dependent (LRD) traffic is crucial for networking, e.g. simulating the Internet. In this respect, it is necessary to generate an LRD traffic series according to a given correlation structure that may well reflect the statistics of real traffic. Recent research on traffic modeling exhibits that the LRD traffic is well modeled by the generalized Cauchy (GC) process indexed by two parameters that separately characterize the self-similarity (SS), which is a local property described by the fractal dimension D, and long-range dependence (LRD), which is a global property measured by the Hurst parameter H. This paper gives a computational method to generate the LRD traffic based on the correlation form of the GC process in both the unifractal and multifractal cases. It may nevertheless be used as a way to flexibly simulate the realizations that reflect the fractal phenomena of traffic for both short-term lags and long-term ones.
90B18Communication networks (optimization)
90B20Traffic problems
68M11Internet topics