Negative probabilities at work in the M/D/1 queue

Probability in the Engineering and Informational Sciences

Volumn 21, Issue 1, 2007, Pages 67-76

  Tijms, Henk ^a,b   Staats, Koen ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

^b TINBERGEN INSTITUTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING; INDUSTRIAL ENGINEERING;

FINITE CAPACITY; SERVICE TIME; STATE PROBABILITY; TWO-PHASE PROCESS; WAITING-TIME;

QUEUEING THEORY;

EID: 33845765240     PISSN: 02699648     EISSN: 14698951     Source Type: Journal    
DOI: 10.1017/S0269964807070040     Document Type: Article

References (6)

1. Brun, O. & Garcia, J. (2000). Analytical solution of finite capacity M/D/1 queues. Journal of Applied Probability 37: 1092-1098.
2. Franx, G.J. (2001). A simple solution for the M/D/c waiting-time distribution. Operations Research Letters 29: 221-229.
3. Franx, G.J. (2004). A full probabilistic approach to waiting-time distributions. Doctoral dissertation, Vrije University, Amsterdam.
4. Nojo, S. &Watanabe, H. (1987).Anew stage method getting arbitrary coefficient of variation through two stages. Transactions of the IECIE 70: 33-36.
5. Tijms, H.C. (2003). A first course in stochastic models. Chichester: Wiley.
6. Van Hoorn, M.H. & Seelen, L.P. (1986). Approximations for the G0G0c queue. Journal of Applied Probability 23: 484-494.