Title :
An application of the inspection paradox in stability analysis of optical systems
Author :
Morozov, Evsey ; Potakhina, Lyubov
Author_Institution :
Karelian Res. Centre RAS, Petrozavodsk State Univ., Petrozavodsk, Russia
Abstract :
The inspection (or renewal time) paradox is one of the basic results of the renewal theory. It expresses the mean stationary forward renewal time by means of the two first moments of the interrenewal time. We consider a single-server system with optical buffers and apply the inspection paradox to obtain more tight stability condition for the equidistant and asymptotically equidistant fiber delay lines. Simulation results show that this condition is close to being stability criterion.
Keywords :
inspection; optical delay lines; optical fibre communication; queueing theory; stability criteria; asymptotically equidistant fiber delay lines; equidistant equidistant fiber delay lines; inspection paradox; interrenewal time; mean stationary forward renewal time; optical buffers; optical systems; queuing system; renewal theory; single-server system; stability analysis; stability criterion; Asymptotic stability; Delay lines; Inspection; Optical buffering; Stability criteria; Tin;
Conference_Titel :
Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2014 6th International Congress on
Conference_Location :
St. Petersburg
DOI :
10.1109/ICUMT.2014.7002156
