Diffusion approximation for an input-queued switch operating under a maximum weight matching policy
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[1] G. Dantzig,et al. On the continuity of the minimum set of a continuous function , 1967 .
[2] D. Luenberger. Optimization by Vector Space Methods , 1968 .
[3] P. Donnelly. MARKOV PROCESSES Characterization and Convergence (Wiley Series in Probability and Mathematical Statistics) , 1987 .
[4] Leandros Tassiulas,et al. Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks , 1992 .
[5] Thomas E. Anderson,et al. High-speed switch scheduling for local-area networks , 1993, TOCS.
[6] Robert J. Plemmons,et al. Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.
[7] Jean C. Walrand,et al. Achieving 100% throughput in an input-queued switch , 1996, Proceedings of IEEE INFOCOM '96. Conference on Computer Communications.
[8] Ruth J. Williams,et al. Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons , 1996 .
[9] Ruth J. Williams,et al. An invariance principle for semimartingale reflecting Brownian motions in an orthant , 1998, Queueing Syst. Theory Appl..
[10] Maury Bramson,et al. State space collapse with application to heavy traffic limits for multiclass queueing networks , 1998, Queueing Syst. Theory Appl..
[11] J. Harrison. Brownian models of open processing networks: canonical representation of workload , 2000 .
[12] A. Stolyar. MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic , 2004 .
[13] S. Ethier,et al. Markov Processes: Characterization and Convergence , 2005 .
[14] Jim Dai,et al. Correctional Note to "Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons" , 2006 .
[15] R. J. Williams,et al. An invariance principle for semimartingale reflecting Brownian motions in domains with piecewise smooth boundaries. , 2007, 0704.0405.
[16] R. J. Williams,et al. State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy , 2009, 0910.3821.
[17] John N. Tsitsiklis,et al. Qualitative properties of α-weighted scheduling policies , 2010, SIGMETRICS '10.
[18] Devavrat Shah,et al. Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse , 2010, ArXiv.
[19] J. Tsitsiklis,et al. Qualitative properties of $\alpha$-fair policies in bandwidth-sharing networks , 2011, 1104.2340.
[20] R. Bass,et al. Review: P. Billingsley, Convergence of probability measures , 1971 .
[21] John N. Tsitsiklis,et al. Optimal scaling of average queue sizes in an input-queued switch: an open problem , 2011, Queueing Syst. Theory Appl..
[22] Devavrat Shah,et al. Optimal queue-size scaling in switched networks , 2011, SIGMETRICS '12.
[23] David D. Yao,et al. A Stochastic Network Under Proportional Fair Resource Control - Diffusion Limit with Multiple Bottlenecks , 2012, Oper. Res..
[24] John N. Tsitsiklis,et al. Qualitative properties of α-fair policies in bandwidth-sharing networks , 2014 .
[25] K. Schittkowski,et al. NONLINEAR PROGRAMMING , 2022 .