Abstract
In queueing theory the question of invariance is well known: under what conditions the stationary probabilities of states of the queueing system are independent on the form of distribution functions of the elements (for example, of the service time) if there are given finite values of mathematical expectation? For the Erlang loss system with independent service times Sevastjanov [1] gave a complete answer; in the case of depending service times in the sense of stochastic point process see [2], [5], [6]. For other systems Kovalenko [3] proved a condition of invariance. A theory of invariance including algebraic criteria of invariance and connection with the so called set up of product of Sevastjanov [1] for a formalized class of queueing and reliability models is found in [4], [5], [6].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
