Eigenvalue expression for a batch Markovian arrival process

Journal of the Operations Research Society of Japan

Volumn 40, Issue 1, 1997, Pages 131-132

  Nishimura, Shoichi ^a   Sato, Hajime ^a  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28844441361     PISSN: 04534514     EISSN: None     Source Type: Journal    
DOI: 10.15807/jorsj.40.122     Document Type: Article

References (9)

1. Cartan, H. Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes, Hermann, Paris 1961.
2. Hatori. H., and Mori, T., Finite Markov chains, Baifukan, Tokyo (in Japanese) 1982.
3. Kemeny, J., and Snell, J.L., Finite Markov chains, McGraw-Hill, New York 1960.
4. Lucantoni, D.M., New results on the single server queue with a batch Markovian arrival process, Stochastic Models, 7, (1991) 1-46
5. Narayana, S and Neuts, M.F., The first two moments matrixes of the counts for the Markovian arrival process, Stochastic Models, 8, (1992) 459-477.
6. Neuts, M.F., A versatile Markovian point process, J. Appl. Prob., 16, (1979) 764-779.
7. Neuts, M.F., Structured Stochastic Matrices of M/G/1 Type and Their Applications, Marcel Dekker, Inc., New York 1989.
8. Nishimura, S., Eigenvalue Expression for Mean Queue Length of BMAP/G/1 Queue. (submitted)
9. Ramaswami V., The N/G/1 queue and its detailed analysis, Adv. Appl. Prob., 12, (1979) 222-261.