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20142024
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 · 36 across the 6 of their papers we have counts for

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5 papers · 1 filter

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.PR2022★ 3 cited

Load balancing in a network of queueing-inventory systems

Sonja Otten

We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production syste…

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.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.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…