Open AccessOptimal Admission Control and State Space Reduction in Two‐Class Preemptive Loss Systems
Author(s) -
Kim Bara,
Ko SungSeok
Publication year - 2015
Publication title -
etri journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 46
eISSN - 2233-7326
pISSN - 1225-6463
DOI - 10.4218/etrij.15.0114.0348
Subject(s) - preemption , mathematical optimization , profit (economics) , cognitive radio , reduction (mathematics) , state space , class (philosophy) , admission control , computer science , mathematics , computer network , wireless , economics , statistics , telecommunications , artificial intelligence , geometry , quality of service , microeconomics , operating system
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.