Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Takács L. Investigation of waiting-time problems by reduction to Markov process.-Acta.Math. Acad. Sci. Hungary, 6 (1955) p.101–129.
Reich E. On the integro-differential equation of Takács. I.-Ann. Math. Statist., v.29 (1958), p.567–570.
Reich E. On the integro-differential equation of Takács. II.-Ann. Math. Statist., v.30 (1959), p.143–148.
Hasofer A.M. On the single-server queue with non-homogeneous Poisson input and general service times.-J.Appl.Probab., v.1 (1964), p.369–384.
Harrison J.M., Lemoine A.J. Limit theorems for periodic queues.-J.Appl.Probab., v.14(1977), p.566–576.
Lemoine A.J. On queues with periodic Poisson input.-J.Appl.Probab., v.18(1981), p.889–900.
Afanas'eva L.G., Lustina A.A. On periodic solution of the Takács equation (in Russian).-In: Stability problems for stochastic models, Moscow, Institute for Systems Studies, 1983, p.4–16-
Evdokimova G.S. On distribution of the waiting time for systems with periodic input (in Russian).-Izvestiia Akad.Nauk SSSR, Ser. Techn. Cybern., N 3(1974), p.114–118.
Afanas'eva L.G., Lustina A.A. Estimation of the quasi-stationary distribution of the waiting time for systems with periodic arrival rate function (in Russian).-In: Programs and algorithms for applied statistical analyses, Moscow,Central Econ.Math. Institute 1983, p.82–84.
Gnedenko B.V., Kovalenko I.N. Introduction to the queueing theory (in Russian)., Nauka, 1963.
Borovkov A.A. Stochastic processes in the queueing theory. (in Russian).-Nauka, 1966.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Afanas'eva, L.G. (1985). On periodic distribution of waiting-time process. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074810
Download citation
DOI: https://doi.org/10.1007/BFb0074810
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15985-8
Online ISBN: 978-3-540-39686-4
eBook Packages: Springer Book Archive