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Analysis of an MMAP/PH₁,PH₂/N/∞ queueing system operating in a random environment

Chesoong Kim;  Alexander Dudin;  Sergey Dudin;  Olga Dudina — 2014

International Journal of Applied Mathematics and Computer Science

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. To facilitate the investigation...

Optimization of the service strategy in a queueing system with energy harvesting and customers' impatience

Alexander Dudin;  Moon Ho Lee;  Sergey Dudin — 2016

International Journal of Applied Mathematics and Computer Science

A single-server queueing system with an infinite buffer is considered. The service of a customer is possible only in the presence of at least one unit of energy, and during the service the number of available units decreases by one. New units of energy arrive in the system at random instants of time if the finite buffer for maintenance of energy is not full. Customers are impatient and leave the system without service after a random amount of waiting time. Such a queueing system describes, e.g.,...

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