TY - GEN
T1 - Closed form solutions for the equilibrium probability distribution in the closed Lu-Kumar network under two buffer priority policies
AU - Jung, Seunghwan
AU - Morrison, James R.
PY - 2010
Y1 - 2010
N2 - We seek closed form solutions for the equilibrium probability distribution of the two station closed reentrant Lu-Kumar network under two static buffer priority policies. For the last buffer first served (LBFS) policy, an explicit closed form is obtained. For the first buffer first served (FBFS) policy, sufficient structure exists for us to obtain expressions for many states, but a reduced dimension Toeplitz matrix must still be inverted for a complete solution. We use the results to compute the throughput and asymptotic losses of the system.
AB - We seek closed form solutions for the equilibrium probability distribution of the two station closed reentrant Lu-Kumar network under two static buffer priority policies. For the last buffer first served (LBFS) policy, an explicit closed form is obtained. For the first buffer first served (FBFS) policy, sufficient structure exists for us to obtain expressions for many states, but a reduced dimension Toeplitz matrix must still be inverted for a complete solution. We use the results to compute the throughput and asymptotic losses of the system.
UR - http://www.scopus.com/inward/record.url?scp=77957870561&partnerID=8YFLogxK
U2 - 10.1109/ICCA.2010.5524336
DO - 10.1109/ICCA.2010.5524336
M3 - Conference contribution
AN - SCOPUS:77957870561
SN - 9781424451951
T3 - 2010 8th IEEE International Conference on Control and Automation, ICCA 2010
SP - 1488
EP - 1495
BT - 2010 8th IEEE International Conference on Control and Automation, ICCA 2010
Y2 - 9 June 2010 through 11 June 2010
ER -