ANALYSIS OF FINITE MAP vertical bar PH vertical bar 1 QUEUE WITH HYSTERETIC CONTROL OF ARRIVALS

SIP-server overload in next generation networks is a well-known issue, which motivates new research activities and gives rise to new models and designs of overload control mechanisms. In a number of recent papers in has been shown that the SIP overload problem can be addressed from queueing-theoretic point of view. This paper provides a numerical algorithm for performance analysis of queue-related stationary characteristics of finite-capacity MAP vertical bar PH vertical bar 1 queueing system with bi-level hysteretic control of arrivals. This system models a SIP server with loss-based overload scheme, which implies the use of bi-level hysteretic control of arrivals to regulate the message arrival rate. Simple numerical example illustrating the performance of hysteretic control is given.