activity
20132022
most citedLost-customers approximation of semi-open queueing networks with backordering -- An application to minimise the number of robots in robotic mobile fulfilment systems

16 citations · 38 across the 9 of their papers we have counts for

collaborators

9 papers

math.PR2022★ 11 cited

Stability of queueing-inventory systems with different priorities

Sonja Otten, Hans Daduna

We study a production-inventory system with two customer classes with different priorities which are admitted to the system following a flexible admission control scheme. The inven…

math.OC2022★ 1 cited

The Weber Problem in Logistic and Services Networks under Congestion

Vanessa Lange, Hans Daduna

We investigate a location-allocation-routing problem where trucks deliver goods from a central production facility to a set of warehouses with fixed locations and known demands. Du…

math.PR2020★ 3 cited

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…

math.PR2020

Alternating birth-death processes

Hans Daduna

We consider a continuous time Markov process on which can be interpreted as generalized alternating birth-death process in a non-autonomous random environment. Depen…

math.PR2019★ 16 cited

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…

math.OC2016★ 1 cited

Heuristic Approximations for Closed Networks: A Case Study in Open-pit Mining

Hans Daduna, Ruslan Krenzler, Robert Ritter +1

We investigate a fundamental model from open-pit mining, which is a cyclic system consisting of a shovel, traveling loaded, unloading facility, and traveling back empty. The intera…

math.PR2015★ 1 cited

Correlation formulas for Markovian network processes in a random environment

H. Daduna, R. Szekli

We consider Markov processes, which describe e.g. queueing network processes, in a random environment which influences the network by determining random breakdown of nodes, and the…

math.PR2014★ 3 cited

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…

math.PR2013★ 2 cited

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…