Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics.
Patrick EschenfeldtDavid GamarnikPublished in: Math. Oper. Res. (2018)
Keyphrases
- heavy traffic
- traffic intensity
- arrival rate
- service rates
- queue length
- queueing networks
- asymptotically optimal
- steady state
- long run
- limit theorems
- queueing systems
- diffusion approximations
- brownian motion
- single server queue
- queueing model
- state space collapse
- call center
- service times
- poisson process
- fluid model
- dynamic routing
- customer classes
- service systems
- arrival process
- scheduling policies
- shortest path
- polling systems
- single server
- heavy traffic limit
- holding cost
- state dependent