The derivation of invariance relations in complex queueing systems with stationary inputs
From MaRDI portal
Publication:3319553
DOI10.2307/1427329zbMath0535.60086OpenAlexW4245665949MaRDI QIDQ3319553
Publication date: 1983
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1427329
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items
\(\mathrm{MAP}/\mathrm{M}/c\) and \(\mathrm{M}/\mathrm{PH}/c\) queues with constant impatience times ⋮ Little laws for utility processes and waiting times in queues ⋮ Excursions of the workload process in \(G/GI/1\) queues ⋮ Invariance relations in single server queues with LCFS service discipline ⋮ Queues as Harris recurrent Markov chains ⋮ Forward equations for reflected diffusions with jumps ⋮ Further applications of a general rate conservation law ⋮ Mathematical theory of queueing networks ⋮ Stability, monotonicity and invariant quantities in general polling systems ⋮ On pathwise rate conservation for a class of semi-martingales ⋮ Relationships in stationary jump processes with countable state space and their applications to queues ⋮ Rate conservation principle for discrete-time queues ⋮ Moments in infinite channel queues ⋮ Light traffic for workload in queues ⋮ Approximate Formula of Delay-Time Variance in Renewal-Input General-Service-Time Single-Server Queueing System ⋮ A review of \(L=\lambda W\) and extensions ⋮ Sample-path analysis of stochastic discrete-event systems ⋮ Rate conservation laws: A survey
