Uniform Moment Bounds for Generalized Jackson Networks in Multiscale Heavy Traffic
Published Online:26 Mar 2025https://doi.org/10.1287/moor.2024.0408
References
- [1] (1987) Palm Probabilities and Stationary Queues. Lecture Notes in Statistics, vol. 41 (Springer, New York).Crossref, Google Scholar
- [2] (2017) Heavy traffic approximation for the stationary distribution of a generalized Jackson network: The BAR approach. Stochastic Systems 7(1):143–196.Link, Google Scholar
- [3] (2024) The BAR approach for multiclass queueing networks with SBP service policies. Stochastic Systems 15(1):1–49.Google Scholar
- [4] (2009) Stationary distribution convergence for generalized Jackson networks in heavy traffic. Math. Oper. Res. 34(1):45–56.Link, Google Scholar
- [5] (2022) State space collapse for multi-class queueing networks under SBP service policies. Queueing Systems 102(1–2):87–122.Crossref, Google Scholar
- [6] (1995) On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models. Ann. Appl. Probab. 5(1):49–77.Crossref, Google Scholar
- [7] (1992) Reflected Brownian motion in an orthant: Numerical methods for steady-state analysis. Ann. Appl. Probab. 2(1):65–86.Crossref, Google Scholar
- [8] (2023) Asymptotic product-form steady-state for generalized Jackson networks in multi-scale heavy traffic. Preprint, submitted April 4, https://arxiv.org/abs/2304.01499.Google Scholar
- [9] (2006) Validity of heavy traffic steady-state approximations in generalized Jackson networks. Ann. Appl. Probab. 16(1):56–90.Crossref, Google Scholar
- [10] (1957) Networks of waiting lines. Oper. Res. 5(4):518–521.Link, Google Scholar
- [11] (1963) Jobshop-like queueing systems. Management Sci. 10(1):131–142.Link, Google Scholar
- [12] (2009) Markov Chains and Stochastic Stability, 2nd ed. (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
- [13] (2002) The finite element method for computing the stationary distribution of an SRBM in a hypercube with applications to finite buffer queueing networks. Queueing Systems 42(1):33–62.Crossref, Google Scholar

