4 papers · 1 filter
Multi-dimensional state space collapse in non-complete resource pooling scenarios
Ellen Cardinaels, Sem Borst, Johan S. H. van Leeuwaarden
The present paper establishes an explicit multi-dimensional state space collapse (SSC) for parallel-processing systems with arbitrary compatibility constraints between servers and…
Power-of-two sampling in redundancy systems: the impact of assignment constraints
Ellen Cardinaels, Sem Borst, Johan S. H. van Leeuwaarden
A classical sampling strategy for load balancing policies is power-of-two, where any server pair is sampled with equal probability. This does not cover practical settings with assi…
Heavy-Traffic Universality of Redundancy Systems with Assignment Constraints
Ellen Cardinaels, Sem Borst, Johan S. H. van Leeuwaarden
Service systems often face task-server assignment-constraints due to skill-based routing or geographical conditions. Redundancy scheduling responds to this limited flexibility by r…
Job Allocation in Large-Scale Service Systems with Affinity Relations
Ellen Cardinaels, Sem C. Borst, Johan S. H. van Leeuwaarden
We consider load balancing in service systems with affinity relations between jobs and servers. Specifically, an arriving job can be allocated to a fast, primary server from a part…