scientific article

zbMath0713.90032MaRDI QIDQ3199178

Ralph L. Disney, Peter C. Kiessler

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Markov renewal processesqueueing networksmarked point processesswitching processcountable state spacetraffic processesoverflow queuesbirth-death queuesdelayed feedbacks

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items

On reversible semi-Markov processes ⋮ On performance comparison of \(MR/GI/1\) queues ⋮ Kitting process in a stochastic assembly system ⋮ Quasi-reversibility of a discrete-time queue and related models ⋮ Departures in \(GR^{X_ n}/ G_ n/ \infty\) ⋮ Further remarks on queueing network theory ⋮ Processing networks with planned inventories: Tandem queues with feedback ⋮ A multi-station system for reducing congestion in high-variability queues ⋮ Diffusion parameters of flows in stable multi-class queueing networks ⋮ Dependence structure of sojourn times via partition separated ordering ⋮ Traffic processes in a class of finite Markovian queues ⋮ Departures from queues with changeover times ⋮ Mathematical theory of queueing networks ⋮ Processor sharing: a survey of the mathematical theory ⋮ The \(M/G/1\) queue with processor sharing and its relation to a feedback queue ⋮ Correlations in output and overflow traffic processes in simple queues ⋮ The asymptotic variance of departures in critically loaded queues ⋮ Mathematical problems in the theory of processor-sharing queueing systems ⋮ The asymptotic variance rate of the output process of finite capacity birth-death queues ⋮ Departure process in a mixed fork-join synchronization network ⋮ A model of channel allocation in multichannel local networks ⋮ Approximation of the departure processes from G/M/1/K and M/G/1/K queueing systems ⋮ Queueing networks with dependent nodes and concurrent movements ⋮ Networks of infinite-server queues with nonstationary Poisson input ⋮ Tandem behavior of a telecommunication system with repeated calls. II: A general case without buffers ⋮ On the Correlation Structure of Closed Queueing Networks ⋮ Fluid queue driven by a GI/GI/1 queue ⋮ Marked Markovian arrivals in a tandem G-network with blocking ⋮ Analysis of a single-stage, single-product, stochastic, MRP-controlled assembly system ⋮ Analysis of a versatile multi-class delay-loss system with a superimposed Markovian arrival process ⋮ Tandem behaviour of a finite-capacity G/M/1 queueing system with instantaneous Bernoulli feedback: an algorithm ⋮ Transient behavior of \(M/M^{ij}/1\) queues