Title : 
Modelling Finite Buffer Slotted Ring Network Using Matrix Geometric Method
         
        
            Author : 
Shah, Syed Asif Ali ; Shah, Wajiha ; Hayat, M. Faisal ; Menghwar, Gordhan Das
         
        
            Author_Institution : 
Inst. of Broadband Commun., Vienna Univ. of Technol., Vienna, Austria
         
        
        
        
        
        
            Abstract : 
Various analytical methods are proposed and used to evaluate the performance of a given slotted ring network. In this paper a station buffer of a slotted ring is analyzed using discrete time queueing technique with an assumption that the time is divided into small segments known as slots. We analyzed and propose the matrix geometric method (MGM) as the solution technique for the model under discussion. Our model has finite station buffer and its behaviour is evaluated through MGM technique by utilizing the characteristics of two-dimensional Markov chain. Various performance measures are validated with their corresponding results such as, throughput, delay and probability of packet rejection.
         
        
            Keywords : 
Markov processes; delays; probability; queueing theory; telecommunication networks; 2D Markov chain; discrete time queueing technique; finite station buffer; matrix geometric method; packet rejection delay; packet rejection probability; slotted ring network; Computer networks; Differential equations; Local area networks; Markov processes; Performance analysis; Protocols; Queueing analysis; Solid modeling; Stationary state; Throughput; Matrix Geometric Method; blocking probability; delay; slotted ring network; throughput;
         
        
        
        
            Conference_Titel : 
Computer Modeling and Simulation, 2009. EMS '09. Third UKSim European Symposium on
         
        
            Conference_Location : 
Athens
         
        
            Print_ISBN : 
978-1-4244-5345-0
         
        
            Electronic_ISBN : 
978-0-7695-3886-0
         
        
        
            DOI : 
10.1109/EMS.2009.50