State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems
From MaRDI portal
Publication:2884275
DOI10.1287/moor.1110.0494zbMath1239.60084OpenAlexW2049110499MaRDI QIDQ2884275
Publication date: 24 May 2012
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1287/moor.1110.0494
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Functional limit theorems; invariance principles (60F17)
Related Items (22)
Dynamic Server Assignment in Multiclass Queues with Shifts, with Applications to Nurse Staffing in Emergency Departments ⋮ Approximations for Chat Service Systems Using Many-Server Diffusion Limits ⋮ Asymptotically optimal control of \(N\)-systems with \(H_2^*\) service times under many-server heavy traffic ⋮ A load balancing system in the many-server heavy-traffic asymptotics ⋮ Asymptotically optimal control of many-server heterogeneous service systems with \(H_{2}^{*}\) service times ⋮ Utilizing partial flexibility to improve emergency department flow: Theory and implementation ⋮ Delay-Based Service Differentiation with Many Servers and Time-Varying Arrival Rates ⋮ An ergodic control problem for many-server multiclass queueing systems with cross-trained servers ⋮ Dynamic Matching for Real-Time Ride Sharing ⋮ Many-server diffusion limits for \(G/Ph/n+GI\) queues ⋮ Scheduling parallel servers in the nondegenerate slowdown diffusion regime: asymptotic optimality results ⋮ A survey on skill-based routing with applications to service operations management ⋮ Optimal control of parallel server systems with many servers in heavy traffic ⋮ Infinite horizon asymptotic average optimality for large-scale parallel server networks ⋮ A blind policy for equalizing cumulative idleness ⋮ Control of systems with flexible multi-server pools: a shadow routing approach ⋮ Dynamic routing in a distributed parallel many-server service system: the effect of \(\xi \)-choice ⋮ Estimating the loss probability under heavy traffic conditions ⋮ Infinite-Horizon Average Optimality of the N-Network in the Halfin–Whitt Regime ⋮ Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics ⋮ Complete resource pooling of a load-balancing policy for a network of battery swapping stations ⋮ Balanced routing with partial information in a distributed parallel many-server queueing system
This page was built for publication: State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems
