121 citations · 155 across the 7 of their papers we have counts for
4 papers · 1 filter
Exponential single server queues in an interactive random environment
Sonja Otten, Ruslan Krenzler, Hans Daduna +1
We consider exponential single server queues with state-dependent arrival and service rates which evolve under influences of external environments. The transitions of the queues ar…
Lost-customers approximation of semi-open queueing networks with backordering -- An application to minimise the number of robots in robotic mobile fulfilment systems
Sonja Otten, Ruslan Krenzler, Lin Xie +2
We consider a semi-open queueing network (SOQN), where a customer requires exactly one resource from the resource pool for service. If there is a resource available, the customer i…
Randomization for Markov chains with applications to networks in a random environment
Ruslan Krenzler, Hans Daduna, Sonja Otten
We develop randomized modifications of Markov chains and apply these modifications to the routing chains of customers in Jacksonian stochastic networks. The aim of our investigatio…
Loss systems in a random environment
Ruslan Krenzler, Hans Daduna
We consider a single server system with infinite waiting room in a random environment. The service system and the environment interact in both directions. Whenever the environment…