@misc{Kim_Chesoong_Analysis,
 author={Kim, Chesoong and Dudin, Alexander and Dudin, Sergey and Dudina, Olga},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={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 type customers have a phase-type distribution with different parameters.},
 abstract={To facilitate the investigation of the system we use a generalized phase-type service time distribution. The criterion of ergodicity for a multi-dimensional Markov chain describing the behavior of the system and the algorithm for computation of its steady-state distribution are outlined. Some key performance measures are calculated. The Laplace-Stieltjes transforms of the sojourn and waiting time distributions of priority and non-priority customers are derived. A numerical example illustrating the importance of taking into account the correlation in the arrival process is presented.},
 type={artykuł},
 title={Analysis of an MMAP/PH1, PH2/N/[ the sign of infinity] queueing system operating in a random environment},
 keywords={random environment, marked Markovian arrival process, phase-type distribution, Laplace-Stieltjes transform},
}