TY - JOUR
T1 - Negative probabilities at work in the M/D/1 queue
AU - Tijms, H.C.
AU - Staats, K.
PY - 2007
Y1 - 2007
N2 - This article derives amazingly accurate approximations to the state probabilities and waiting-time probabilities in the M/D/1 queue using a two-phase process with negative probabilities to approximate the deterministic service time. The approximations are in the form of explicit expressions involving geometric and exponential terms. The approximations extend to the finite-capacity M/D/1/N + 1 queue. © 2007 Cambridge University Press.
AB - This article derives amazingly accurate approximations to the state probabilities and waiting-time probabilities in the M/D/1 queue using a two-phase process with negative probabilities to approximate the deterministic service time. The approximations are in the form of explicit expressions involving geometric and exponential terms. The approximations extend to the finite-capacity M/D/1/N + 1 queue. © 2007 Cambridge University Press.
UR - https://www.scopus.com/pages/publications/33845765240
UR - https://www.scopus.com/inward/citedby.url?scp=33845765240&partnerID=8YFLogxK
U2 - 10.1017/S0269964807070040
DO - 10.1017/S0269964807070040
M3 - Article
SN - 0269-9648
VL - 21
SP - 67
EP - 76
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
ER -