3 papers
stat.AP2026
Waiting time analysis in a finite-capacity multi-server systems with dynamic priorities, dynamically evolving customer types, and abandonment
M. Abdullah Khokhar, Malgorzata M. O'Reilly, Richard Turner
In many service systems, an estimation of customers' waiting times for the service can assist in decision making focused on enhancing the operational efficiency, improving the cust…
math.PR2026
Level-dependent quasi-birth-and-death processes: Application to cost analysis of multi-server systems
M. Abdullah Khokhar, Malgorzata M. O'Reilly, Richard Turner
Analysing costs is crucial for optimising the operational efficiency and resource allocation in systems evolving under uncertainty. In this paper, we study the distribution of cost…
math.OC2024
Markov Decision Process and Approximate Dynamic Programming for a Patient Assignment Scheduling problem
Malgorzata M. O'Reilly, Sebastian Krasnicki, James Montgomery +4
We study the Patient Assignment Scheduling (PAS) problem in a random environment that arises in the management of patient flow in the hospital systems, due to the stochastic nature…