On the Solution to QBD Processes with Finite State Space

Essia H. Elhafsi · Mart L. Molle

33 citations0/0 files storedStochastic Analysis and Applications

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Advanced Queuing Theory Analysis Probability and Statistical Research Petri Nets in System Modeling

Abstract

In this article, we present a solution to a class of Quasi-Birth-and-Death processes with finite state space and show that the stationary probability vector has a matrix geometric representation. We show that such models have a level-dependent rate matrix. The corresponding rate matrix is given explicitly in terms of the model parameters. The resulting closed-form expression is proposed as a basis for efficient calculation of the stationary probabilities. The method proposed in this article can be applied to several queueing systems.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 33 citations exist upstream.

References

1984Matrix-Geometric Solutions to Stochastic Models 1985Matrix-geometric solutions in stochastic models 1984Optimal control of a queueing system with two heterogeneous servers 1979A Markovian Queue with N Servers Subject to Breakdowns and Repairs 1989Overload control in a finite message storage buffer 1987Algorithmic and approximation analyses of the shorter queue model 1996Solution of finite QBD processes

Cited by

2011Level‐Dependent Quasi‐Birth‐and‐Death Processes 2014Managing an assemble-to-order system with after sales market for components

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.