Abstract
Analytical expression for time dependent system state probabilities of single server queuing system with infinite queue capacity M/M/1 is derived. Expression is derived by finding the limit value of expression for time dependent system state probabilities of single server queuing system with finite queue capacity M/M/1/K, when number of places in the queue tens to infinity, in the case that system is empty at the beginning. Only elementary mathematical operations are used.
Highlights
Main idea is to obtain analytical expression for time dependent system state probabilities of single server queuing system with infinite queue capacity M/M/1 indirectly without solving adequate system of linear differential equations, in the case that the system is empty at the beginning
This leads to the conclusion that expression (20) for time dependent system state probabilities of single server queuing system with infinite queue capacity M/M/1 is correct
Analytical expression for time dependent system state probabilities of single server queuing system with infinite queue capacity M/M/1 is derived as a limit value of expression for the time dependent sys–tem state probabilities of single server queuing system with finite queue capacity M/M/1/K
Summary
Technical director Tecon Sistem d.o.o. Time Dependent System State Probabilities of Single Server Queuing System with Infinite Queue. Analytical expression for time dependent system state probabilities of single server queuing system with infinite queue capacity M/M/1 is derived. Expression is derived by finding the limit value of expression for time dependent system state probabilities of single server queuing system with finite queue capacity M/M/1/K, when number of places in the queue tens to infinity, in the case that system is empty at the beginning.
Sign-in/Register to view highlights & summary 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.
