%0 Journal Article %1 ram98 %A Chakka, Ram %D 1998 %I Kluwer Academic Publishers %J Annals of Operations Research %K queueing.theory %N 0 %P 27-44 %R 10.1023/A:1018974722301 %T Spectral expansion solution for some finite capacity queues %V 79 %X The spectral expansion method is successfully extended for the steady-state solution of a class of Markov processes of finite state space. These processes are of QBD structure, with boundary. The solution is exact and efficient. Some qualitative comparisons are made with some of the existing methods. In this framework, a finite capacity multiserver system, alternating in a Markovian environment, serving a Poisson stream of jobs, is analysed. Another system considered is a two-stage queueing network with feedback and a finite intermediate waiting room. This system is modelled and solved by spectral expansion. Typical numerical results are presented.

@article{ram98, abstract = {The spectral expansion method is successfully extended for the steady-state solution of a class of Markov processes of finite state space. These processes are of QBD structure, with boundary. The solution is exact and efficient. Some qualitative comparisons are made with some of the existing methods. In this framework, a finite capacity multiserver system, alternating in a Markovian environment, serving a Poisson stream of jobs, is analysed. Another system considered is a two-stage queueing network with feedback and a finite intermediate waiting room. This system is modelled and solved by spectral expansion. Typical numerical results are presented.}, added-at = {2014-07-30T05:21:30.000+0200}, author = {Chakka, Ram}, biburl = {https://www.bibsonomy.org/bibtex/23084721c8335364b1bf3de6704b0ad25/ytyoun}, doi = {10.1023/A:1018974722301}, interhash = {1f03539189cde9b580745e754ad5c0ad}, intrahash = {3084721c8335364b1bf3de6704b0ad25}, issn = {0254-5330}, journal = {Annals of Operations Research}, keywords = {queueing.theory}, language = {English}, number = 0, pages = {27-44}, publisher = {Kluwer Academic Publishers}, timestamp = {2014-07-30T05:21:30.000+0200}, title = {Spectral expansion solution for some finite capacity queues}, volume = 79, year = 1998 }