On the Convergence of a Multidimensional Workload in a Service System to a Stable Process

A service system model introduced by I. Kaj and M. S. Taqqu is considered. We prove a limit theorem on the convergence of finite-dimensional distributions of the integral workload process with a multidimensional resource to the corresponding distributions of a multidimensional stable process.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 244; no. 5; pp. 762 - 770
Main Author Garai, E. S.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.02.2020
Springer
Springer Nature B.V
Subjects
Convergence
Mathematics
Mathematics and Statistics
Workload
Workloads
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Summary:A service system model introduced by I. Kaj and M. S. Taqqu is considered. We prove a limit theorem on the convergence of finite-dimensional distributions of the integral workload process with a multidimensional resource to the corresponding distributions of a multidimensional stable process.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04649-9