On deviation matrices for birth-death processes

Probability in the Engineering and Informational Sciences

Volumn 15, Issue 2, 2001, Pages 239-258

  Koole, G M ^a   Spieksma, F M ^b  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

^b LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

INDUSTRIAL ENGINEERING;

BIRTH-DEATH PROCESS; QUEUEING SYSTEM;

ENGINEERING;

EID: 0035590683     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0269964801152071     Document Type: Article

References (9)

1. Hordijk, A. & Spieksma, F.M. (1992). On ergodicity and recurrence properties of a Markov chain with an application to an open Jackson network. Advances in Applied Probability 24: 343-376.
2. Hordijk, A. & Spieksma, F.M. (1994). A new formula for the deviation matrix. In F. Kelly (ed.), Probability, statistics and optimisation. New York: Wiley, pp. 497-507.
3. Karlin, S. (1966). A first course in stochastic processes. London: Academic Press.
4. Kemeny, J.G. & Snell, J.L. (1960). Finite Markov chains. New York: Van Nostrand.
5. Koole, G.M. (1998). The deviation matrix of the M/M/1/∞ and M/M/1/N queue, with applications to controlled queueing models. In Proceedings of the 37th IEEE CDC, pp. 55-59.
6. Koole, G.M. & Nain, P. (2000). On the value function of a priority queue with an application to a controlled polling model. Queueing Systems 34: 199-214.
7. Ott, T.J. & Krishnan, K.R. (1992). Separable routing: A scheme for state-dependent routing of circuit switched telephone traffic. Annals of Operations Research 35: 43-68.
8. Puterman, M.L. (1994). Markov decision processes. New York: Wiley.
9. Sassen, S.A.E., Tijms, H.C., & Nobel, R.D. (1997). A heuristic rule for routing customers to parallel servers. Statistica Neerlandica 51: 107-121.