Renewal processes of phase type

DOI10.1002/NAV.3800250307zbMath0393.90096OpenAlexW1992010916MaRDI QIDQ4175070

Marcel F. Neuts

Publication date: 1978

Published in: Naval Research Logistics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nav.3800250307

zbMATH Keywords

Renewal Processes of Phase Type

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40)

Related Items (20)

Markovian queueing systems with retrials and heterogeneous servers ⋮ Application of renewal theory to call handover counting and dynamic location management in cellular mobile networks ⋮ Investigating dynamic reliability and availability through state-space models ⋮ Corrected Phase-Type Approximations of Heavy-Tailed Queueing Models in a Markovian Environment ⋮ On a Dirichlet process mixture representation of phase-type distributions ⋮ Inventory with disaster^∗ ⋮ The distribution of discounted compound PH-renewal processes ⋮ A single server queue with platooned arrivals and phase type services ⋮ Time-dependent stress-strength reliability models with phase-type cycle times ⋮ A continuous review perishable inventory model ⋮ A matrix-analytic approach to the N-player ruin problem ⋮ Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers ⋮ Computational approximations of renewal process relating to a warranty problem: The case phase-type lifetimes ⋮ Stability conditions for a multiserver queueing system with a regenerative input flow and simultaneous service of a customer by a random number of servers ⋮ Optimal stress screening strategies for multi-component systems sold under warranty: The case of phase-type lifetimes ⋮ Reliability analysis of a parallel system with exponential life times and phase type repairs ⋮ Explicit steady state solution for a Markovian inventory system ⋮ The moments of the forward recurrence times of an alternating renewal process ⋮ The variance constant for the actual waiting time of the PH/PH/1 queue ⋮ Semi-explicit solutions for M/PH/1-like queueing systems

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