Optimal Admission Control and State Space Reduction in Two-Class Preemptive Loss Systems

被引：4

作者：

Kim, Bara ^{[1
]}

Ko, Sung-Seok ^{[2
]}

机构：

[1] Korea Univ, Dept Math, Seoul, South Korea

[2] Konkuk Univ, Dept Ind Engn, Seoul, South Korea

来源：

ETRI JOURNAL | 2015年 / 37卷 / 05期

关键词：

Preemptive loss system; optimal admission policy; cognitive radio networks; Markov decision process;

D O I：

10.4218/etrij.15.0114.0348

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We consider a multiserver system with two classes of customers with preemption, which is a widely used system in the analysis of cognitive radio networks. It is known that the optimal admission control for this system is of threshold type. We express the expected total discounted profit using the total number of customers, thus reducing the stochastic optimization problem with a two-dimensional state space to a problem with a one-dimensional birth-and-death structure. An efficient algorithm is proposed for the calculation of the expected total discounted profit.

引用

页码：917 / 921

页数：5

共 50 条

[41] CAC and traffic shaping for performance control in ATM: the two-class paradigm
Soldatos, J
Vayias, E
Mitrou, N
COMPUTER NETWORKS-THE INTERNATIONAL JOURNAL OF COMPUTER AND TELECOMMUNICATIONS NETWORKING, 2000, 34 (01): : 65 - 83
[42] Optimal income crossover for a two-class model using particle swarm optimization
dos Santos, Paulo H.
Siciliani, Igor D. S.
Tragtenberg, M. H. R.
PHYSICAL REVIEW E, 2022, 106 (03)
[43] Power series approximations for two-class generalized processor sharing systems
Joris Walraevens
J. S. H. van Leeuwaarden
Onno J. Boxma
Queueing Systems, 2010, 66 : 107 - 130
[44] OPTIMAL CONTROL FOR A CLASS OF NONLINEAR-SYSTEMS WITH FINITE HEREDITY IN STATE AND CONTROL
GEORGANAS, ND
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1974, 5 (01) : 5 - 20
[45] Joint routing and scheduling control in a two-class network with a flexible server
E. Arda Sisbot
John J. Hasenbein
Queueing Systems, 2018, 88 : 73 - 97
[46] Power series approximations for two-class generalized processor sharing systems
Walraevens, Joris
van Leeuwaarden, J. S. H.
Boxma, Onno J.
QUEUEING SYSTEMS, 2010, 66 (02) : 107 - 130
[47] Optimal state space partition for state feedback control of discrete event systems
Takai, S
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 3582 - 3583
[48] Two-class M/G/1 queue under workload control
Lee, Ho Woo
Kim, Sang-Ahn
Baek, Jung Woo
Lee, Se Won
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2009, 8 (01) : 38 - 47
[49] Input-to-state Stability and Optimal Control of a Class of Switched Systems
Fang, Zhiming
Xiang, Zhengrong
Chen, Qingwei
2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 3576 - 3580
[50] Optimal estimation of misclassification rate for two-class clustering with sub-Gaussian noises
Liu, Youming
Zhang, Zhentao
JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2025, 54 (01) : 110 - 143

← 1 2 3 4 5 →