Asymptotic behavior of the solution of a queueing system modeled by infinitely many partial differential equations with integral boundary conditions

Asymptotic behavior of the solution of a queueing system modeled by infinitely many partial differential equations with integral boundary conditions

Abstract By studying the spectrum on the imaginary axis of the underlying operator, which corresponds to the M/G/1 retrial queueing model with general retrial times described by infinitely many partial differential equations with integral boundary conditions, we prove that the time-dependent solutio...

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Bibliographic Details
Main Authors: Nurehemaiti Yiming, Geni Gupur
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Boundary Value Problems
Subjects:
M/G/1 retrial queueing model with general retrial times
C 0 $C_{0}$ -semigroup
Time-dependent solution
Eigenvalue
Resolvent set
Online Access:http://link.springer.com/article/10.1186/s13661-018-1083-y

Internet

http://link.springer.com/article/10.1186/s13661-018-1083-y

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