On the analysis of a resource loss system with the waiting buffer

Anastasia Daraseliya, Eduard Sopin
15m
In this paper we consider a multi-server model in terms of a resource loss system with the waiting buffer and the single type of resources. A customer accepted for servicing occupies a random amount of resources with described distribution functions. Based on the assumptions of a Poisson arrival process and exponential service times, we analytically find the the system of equilibrium equations, solving which we get the stationary probabilities, loss probability, the average waiting time and the average number of customers.