Queueing networks with discrete time scale. Explicit expressions for the steady state behaviour of discrete time stochastic networks

DOI10.1007/3-540-44592-7zbMath0988.60094OpenAlexW2477625109MaRDI QIDQ5940716

Hans Daduna

Publication date: 20 August 2001

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-44592-7

zbMATH Keywords

performance measurescomputational algorithmsdiscrete-time stochastic network modelslinear networksnetworks of doubly stochastic and geometrical queuesnetworks with batch movements of customers and batch service

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (21)

Monotonic walks on a necklace and a coloured dynamic vector ⋮ Stability of discrete-time positive evolution operators on ordered Banach spaces and applications ⋮ A discrete-time queue with preferred customers and partial buffer sharing ⋮ Separable models for interconnected production-inventory systems ⋮ Analysis of the successful and blocked events in the retrial queue ⋮ Discrete-time multiserver queues with geometric service times. ⋮ Processor sharing: a survey of the mathematical theory ⋮ Around probabilistic cellular automata ⋮ Throughput limits from the asymptotic profile of cyclic networks with state-dependent service rates ⋮ Optimal control for infinite dimensional stochastic differential equations with infinite Markov jumps and multiplicative noise ⋮ Product Form Models for Queueing Networks with an Inventory ⋮ Performance analysis of a \(GI/D\)-\(MSP/1/\infty\) queueing system under different service phase initiations ⋮ On Kelly networks with shuffling ⋮ An Overview for Markov Decision Processes in Queues and Networks ⋮ True-concurrency probabilistic models: Markov nets and a law of large numbers ⋮ A discrete-time single-server queue with a modifiedN-policy ⋮ Response time in a tandem queue with blocking, Markovian arrivals and phase-type services ⋮ Discrete time queueing networks with product form steady state. Availability and performance analysis in an integrated model ⋮ Asymptotic Throughput in Discrete‐Time Cyclic Networks with Queue‐Length‐Dependent Service Rates ⋮ Calculation of delay characteristics for multiserver queues with constant service times ⋮ Global solutions of a class of discrete-time backward nonlinear equations on ordered Banach spaces with applications to Riccati equations of stochastic control

This page was built for publication: Queueing networks with discrete time scale. Explicit expressions for the steady state behaviour of discrete time stochastic networks