Equilibria for diffusion models of pairs of communicating computers--Symmetric case

DOI10.1109/TIT.1982.1056473zbMath0476.68030MaRDI QIDQ3932297

Gerard J. Foschini

Publication date: 1982

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

zbMATH Keywords

renewal processescomputer networkequilibrium propertiesjoint equilibrium densitymean queue size (and delay)steady-state queueing behavior of interacting computerssymmetrically disposed pair of communicating computers

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Theory of operating systems (68N25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Theory of software (68N99)

Related Items (14)

Probability of total domination for transient reflecting processes in a quadrant ⋮ Boundary value problems in queueing theory ⋮ Green's functions with oblique Neumann boundary conditions in the quadrant ⋮ Tutte’s invariant approach for Brownian motion reflected in the quadrant ⋮ Reflected Brownian motion in a convex polyhedral cone: tail estimates for the stationary distribution ⋮ Reflecting Brownian motion in generalized parabolic domains: explosion and superdiffusivity ⋮ Diffusions with rank-based characteristics and values in the nonnegative quadrant ⋮ Two coupled queues with vastly different arrival rates: critical loading case ⋮ Decomposable stationary distribution of a multidimensional SRBM ⋮ Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling ⋮ Integral expression for the stationary distribution of reflected Brownian motion in a wedge ⋮ A fork-join queueing model: Diffusion approximation, integral representations and asymptotics ⋮ Coupled Processor: A Second-Order Continuous-State-Space Model ⋮ Least Busy Alternative Routing in Queueing and Loss Networks

This page was built for publication: Equilibria for diffusion models of pairs of communicating computers--Symmetric case