26 citations · 97 across the 9 of their papers we have counts for
9 papers
Weighted Dyck paths for nonstationary queues
Gianmarco Bet, Jori Selen, Alessandro Zocca
We consider a model for a queue in which only a fixed number of customers can join. Each customer joins the queue independently at an exponentially distributed time. Assuming f…
Analysis of structured Markov processes
Ivo Adan, Johan van Leeuwaarden, Jori Selen
Markov processes are popular mathematical models, studied by theoreticians for their intriguing properties, and applied by practitioners for their flexible structure. With this boo…
Time-dependent analysis of an preemptive priority system with two priority classes
Jori Selen, Brian Fralix
We analyze the time-dependent behavior of an priority queue having two customer classes, class-dependent service rates, and preemptive priority between classes. More partic…
Approximate performance analysis of generalized join the shortest queue routing
Jori Selen, Ivo J. B. F. Adan, Stella Kapodistria
In this paper we propose a highly accurate approximate performance analysis of a heterogeneous server system with a processor sharing service discipline and a general job-size dist…
Steady-state analysis of shortest expected delay routing
Jori Selen, Ivo J. B. F. Adan, Stella Kapodistria +1
We consider a queueing system consisting of two non-identical exponential servers, where each server has its own dedicated queue and serves the customers in that queue FCFS. Custom…
The snowball effect of customer slowdown in critical many-server systems
Jori Selen, Ivo Adan, Vidyadhar Kulkarni +1
Customer slowdown describes the phenomenon that a customer's service requirement increases with experienced delay. In healthcare settings, there is substantial empirical evidence f…
Joint queue length distribution of multi-class, single server queues with preemptive priorities
Andrei Sleptchenko, Jori Selen, Ivo Adan +1
In this paper we analyze an queueing system with an arbitrary number of customer classes, with class-dependent exponential service rates and preemptive priorities between c…
The age of information in gossip networks
Jori Selen, Yoni Nazarathy, Lachlan L. H. Andrew +1
We introduce models of gossip based communication networks in which each node is simultaneously a sensor, a relay and a user of information. We model the status of ages of informat…
Product-form solutions for a class of structured multi-dimensional Markov processes
Jori Selen, Ivo J. B. F. Adan, Johan S. H. van Leeuwaarden
Motivated by queueing systems with heterogeneous parallel servers, we consider a class of structured multi-dimensional Markov processes whose state space can be partitioned into tw…