Erlangized Fluid Queues with Application To Uncontrolled Fire Perimeter

DOI10.1081/STM-200056242zbMath1090.90040WikidataQ56778774 ScholiaQ56778774MaRDI QIDQ5462809

David A. Stanford, Dennis Boychuk, Douglas G. Woolford, Alek Hunchak, Guy Latouche

Publication date: 27 July 2005

Published in: Stochastic Models (Search for Journal in Brave)

zbMATH Keywords

Markov processfluid queueforest fireErlangizationfire lineuncontrolled fire perimeter

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Other physical applications of random processes (60K40) Numerical analysis or methods applied to Markov chains (65C40)

Related Items

Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues ⋮ Lyapunov exponents for branching processes in a random environment: the effect of information ⋮ Matrix-analytic solution of infinite, finite and level-dependent second-order fluid models ⋮ Erlangian Approximations for the Transient Analysis of a Fluid Queue Model for Forest Fire Perimeter ⋮ Examples of Applications of Queueing Theory in Canada ⋮ The Erlangization method for Markovian fluid flows ⋮ On finite-time ruin probabilities with reinsurance cycles influenced by large claims

Cites Work

• Erlangian Approximations for Finite-Horizon Ruin Probabilities
• Phase-type Approximations to Finite-time Ruin Probabilities in the Sparre-Andersen and Stationary Renewal Risk Models

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