TY - JOUR
T1 - Boundary value methods for transient solutions of queueing networks with variant vacation policy
AU - Chan, Raymond H.
AU - Lee, Spike T.
AU - Sun, Hai-Wei
PY - 2012/10
Y1 - 2012/10
N2 - Boundary value methods are applied to find transient solutions of M/M/2 queueing systems with two heterogeneous servers under a variant vacation policy. An iterative method is employed to solve the resulting large linear system and a Crank-Nicolson preconditioner is used to accelerate the convergence. Numerical results are presented to demonstrate the efficiency of the proposed method.
AB - Boundary value methods are applied to find transient solutions of M/M/2 queueing systems with two heterogeneous servers under a variant vacation policy. An iterative method is employed to solve the resulting large linear system and a Crank-Nicolson preconditioner is used to accelerate the convergence. Numerical results are presented to demonstrate the efficiency of the proposed method.
KW - Boundary value method
KW - Crank-Nicolson preconditioner
KW - Heterogeneous servers
KW - Queueing systems
KW - Variant vacation policy
UR - http://www.scopus.com/inward/record.url?scp=84862809202&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84862809202&origin=recordpage
U2 - 10.1016/j.cam.2012.01.027
DO - 10.1016/j.cam.2012.01.027
M3 - RGC 21 - Publication in refereed journal
SN - 0377-0427
VL - 236
SP - 3948
EP - 3955
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 16
ER -