Fetching the paper…
Reading the bibliography…
This paper studies the input queued switch operating under the MaxWeight algorithm when the arrivals are according to a Markovian process.
Heavy-traffic analysis of queueing systems with no complete resource pooling
Hurtado Lange, D. and Maguluri, S. T · 1904
Earlier work this paper cites.
On heavy-traffic optimal scaling of c c -weighted maxweight scheduling in input-queued switches
Lu, Y., Maguluri, S. T., Squillante, M. S. and Suk, T · 1907
Earlier work this paper cites.
The single server queue in heavy traffic
Kingman, J · 1961
Earlier work this paper cites.
Hitting-time and occupation-time bounds implied by drift analysis with applications
Hajek, B · 1982
Earlier work this paper cites.
Brownian models of queueing networks with heterogeneous customer populations
Harrison, J · 1988
Earlier work this paper cites.
Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks
Tassiulas, L. and Ephremides, A · 1990
Earlier work this paper cites.
Marked point processes as limits of Markovian arrival streams
Asmussen, S. and Koole, G · 1993
Earlier work this paper cites.
Topics in the constructive theory of countable Markov chains
Fayolle, G., Malyshev, V. A. and Menshikov, M. V. e · 1995
Earlier work this paper cites.
Heavy traffic analysis of a system with parallel servers: Asymptotic optimality of discrete review policies
Harrison, J. M · 1998
Earlier work this paper cites.
Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
Williams, R. J · 1998
Earlier work this paper cites.
Heavy traffic resource pooling in parallel-server systems
Harrison, J. M. and López, M. J · 1999
Earlier work this paper cites.
Achieving 100% throughput in an input-queued switch
McKeown, N., Mekkittikul, A., Anantharam, V. and Walrand, J · 1999
Earlier work this paper cites.
Logarithmic heavy traffic error bounds in generalized switch and load balancing systems
Hurtado-Lange, D., Varma, S. M. and Maguluri, S. T · 2003
Earlier work this paper cites.
Low-complexity switch scheduling algorithms: Delay optimality in heavy traffic
Jhunjhunwala, P. and Maguluri, S. T · 2004
Cited alongside, same era.
Maxweight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic
Stolyar, A. L. et al · 2004
Cited alongside, same era.
Validity of heavy traffic steady-state approximations in generalized Jackson networks
Gamarnik, D. and Zeevi, A · 2006
Cited alongside, same era.
Delay analysis for maximal scheduling with flow control in wireless networks with bursty traffic
Neely, M. J · 2008
Cited alongside, same era.
Network adiabatic theorem: an efficient randomized protocol for contention resolution
Rajagopalan, S., Shah, D. and Shin, J · 2009
Cited alongside, same era.
Heavy traffic queue length behavior in a switch under the maxweight algorithm
Maguluri, S. T. and Srikant, R · 2016
Later among the works it cites.
Heavy traffic approximation for the stationary distribution of a generalized Jackson network: The BAR approach
Braverman, A., Dai, J. and Miyazawa, M · 2017
Later among the works it cites.
Markov chains and mixing times
Levin, D. A. and Peres, Y · 2017
Later among the works it cites.
Heavy traffic queue length behavior in switches with reconfiguration delay
Wang, C.-H., Maguluri, S. T. and Javidi, T · 2017
Later among the works it cites.
Markov chains
Douc, R., Moulines, E., Priouret, P. and Soulier, P · 2018
Later among the works it cites.
Optimal dynamic control for input-queued switches in heavy traffic
Lu, Y., Maguluri, S. T., Squillante, M. S. and Suk, T · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Network traffic characteristics of data centers in the wild
Benson, T., Akella, A. and Maltz, D. A · 2010
Cited alongside, same era.
Optimal scaling of average queue sizes in an input-queued switch: an open problem
Shah, D., Tsitsiklis, J. N. and Zhong, Y · 2011
Cited alongside, same era.
Asymptotically tight steady-state queue length bounds implied by drift conditions
Eryilmaz, A. and Srikant, R · 2012
Cited alongside, same era.
pfabric: Minimal near-optimal datacenter transport
Alizadeh, M., Yang, S., Sharif, M., Katti, S., McKeown, N., Prabhakar, B. and Shenker, S · 2013
Cited alongside, same era.
Communication networks: an optimization, control, and stochastic networks perspective
Srikant, R. and Ying, L · 2013
Cited alongside, same era.
Fastpass: A centralized zero-queue datacenter network
Perry, J., Ousterhout, A., Balakrishnan, H., Shah, D. and Fugal, H · 2014
Cited alongside, same era.
Jupiter rising: A decade of clos topologies and centralized control in google’s datacenter network
Singh, A., Ong, J., Agarwal, A., Anderson, G., Armistead, A., Bannon, R., Boving, S., Desai, G., Felderman, B., Germano, P. et al · 2015
Cited alongside, same era.
Optimal heavy-traffic queue length scaling in an incompletely saturated switch
Maguluri, S. T., Burle, S. K. and Srikant, R · 2018
Later among the works it cites.
Heavy-traffic delay insensitivity in connection-level models of data transfer with proportionally fair bandwidth sharing
Wang, W., Maguluri, S. T., Srikant, R. and Ying, L · 2018
Later among the works it cites.
Flexible load balancing with multi-dimensional state-space collapse: Throughput and heavy-traffic delay optimality
Zhou, X., Tan, J. and Shroff, N · 2018
Later among the works it cites.
Transform methods for heavy-traffic analysis
Hurtado-Lange, D. and Maguluri, S. T · 2020
Closest in time.
Fluctuation bounds for the max-weight policy with applications to state space collapse
Sharifnassab, A., Tsitsiklis, J. N. and Golestani, S. J · 2020
Closest in time.
Heavy-traffic analysis of queueing systems with no complete resource pooling
Hurtado Lange, D. A. and Maguluri, S. T · 2022
Closest in time.