The M/M/C queueing system in a random environment

Queueing Systems in a Random Environment

Queueing networks with product-form steady-state distribution have found many fields ofapplications, e.g. production systems, telecommunications, and computer system model-ing. The success of this class of models and its relatives stems from the simple structureof the steady-state distribution which provides access to easy performance evaluationprocedures. Starting from the ...

Analysis of Anmmap/Ph1, Ph2/N/∞ queueing system operating in a random environment

A multi-server queueing system with two types of customers and an infinite buffer operating in a random environment as a model of a contact center is investigated. The arrival flow of customers is described by a marked Markovian arrival process. Type 1 customers have a non-preemptive priority over type 2 customers and can leave the buffer due to a lack of service. The service times of different...

Performance analysis of multi-server queueing system operating under control of a random environment

Queueing system with pre-scheduled random arrivals

We consider a point process obtained summing to each point i of the set of the integer Z an i.i.d random variable ξi having a variance that can be also much larger than 1. We compare the process obtained with this construction with the standard Poisson process, and we show that in some sense our process tends to converge for large variance of ξ to the Poisson process in total variation. We then...

Lotka-Volterra system in a random environment.

Classical Lotka-Volterra (LV) model for oscillatory behavior of population sizes of two interacting species (predator-prey or parasite-host pairs) is conservative. This may imply unrealistically high sensitivity of the system's behavior to environmental variations. Thus, a generalized LV model is considered with the equation for preys' reproduction containing the following additional terms: qua...