Title : 
Explicit solution of a queue with nonexhaustive service interruption to model Multiuser Access Interference
         
        
            Author : 
Goitia, Carlos F Belaustegui ; Batlle, Leandro
         
        
            Author_Institution : 
Fac. de Ing. Paseo Colon, Univ. de Buenos Aires, Buenos Aires
         
        
        
        
        
            Abstract : 
We provide an explicit analytical solution for a queue with nonexhaustive service interruptions, which is intended to model the effect of multiuser access interference in a frequency hopping wireless access system. The assumption of Poisson arrivals and exponential sojourn times in a two- dimensional Markov chain provides analytical tractability. The matrix-geometric method is used to derive closed-form solutions for the mean number of jobs in the system and mean delay, which are intended to benchmark more realistic models of the inter-arrival, service and interruption times.
         
        
            Keywords : 
Markov processes; frequency hop communication; matrix algebra; multi-access systems; queueing theory; radio access networks; 2D Markov chain; Poisson arrivals; exponential sojourn times; frequency hopping wireless access system; matrix-geometric method; multiuser access interference; nonexhaustive service interruption; queue; Closed-form solution; Delay systems; Exponential distribution; Frequency conversion; Multiaccess communication; Multiple access interference; Queueing analysis; Resumes; Spread spectrum communication; Steady-state;
         
        
        
        
            Conference_Titel : 
Communications, Control and Signal Processing, 2008. ISCCSP 2008. 3rd International Symposium on
         
        
            Conference_Location : 
St Julians
         
        
            Print_ISBN : 
978-1-4244-1687-5
         
        
            Electronic_ISBN : 
978-1-4244-1688-2
         
        
        
            DOI : 
10.1109/ISCCSP.2008.4537196