Light tail asymptotics in multidimensional reflecting processes for queueing networks
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References listed on IDEAS
- Dupuis, Paul & Ramanan, Kavita, 2002. "A time-reversed representation for the tail probabilities of stationary reflected Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 98(2), pages 253-287, April.
- Alsmeyer, Gerold, 1994. "On the Markov renewal theorem," Stochastic Processes and their Applications, Elsevier, vol. 50(1), pages 37-56, March.
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- Yanting Chen & Richard J. Boucherie & Jasper Goseling, 2016. "Invariant measures and error bounds for random walks in the quarter-plane based on sums of geometric terms," Queueing Systems: Theory and Applications, Springer, vol. 84(1), pages 21-48, October.
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KeywordsQueueing network; Reflecting random walk; Semi-martingale reflecting Brownian motion; Stationary distribution; Tail asymptotic; Tail decay rate; Large deviations; Light tail; Stability; Stationary inequality; Server collaboration; Join the shortest queue; Markov additive process; Convergence domain; Multidimensional moment generating function; 60K27; 90B15; 60G50; 60J70; 60F10;
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