Erlangian Approximations for the Transient Analysis of a Fluid Queue Model for Forest Fire Perimeter

DOI10.3138/infor.47.4.305OpenAlexW2021840530MaRDI QIDQ6160223

Unnamed Author, Reginald J. Kulperger, Dennis Boychuk, Douglas G. Woolford, David A. Stanford

Publication date: 9 May 2023

Published in: INFOR: Information Systems and Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3138/infor.47.4.305

zbMATH Keywords

transient analysisfluid flowwildland fireMarkov modulationErlangizationfire suppression effectiveness

Mathematics Subject Classification ID

Operations research, mathematical programming (90-XX)

Cites Work

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• The Erlangization method for Markovian fluid flows
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• A logarithmic reduction algorithm for quasi-birth-death processes
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• Transient Analysis of Fluid Flow Models via Stochastic Coupling to a Queue
• Erlangian Approximations for Finite-Horizon Ruin Probabilities
• ALGORITHMS FOR RETURN PROBABILITIES FOR STOCHASTIC FLUID FLOWS
• Statistical Inference for Discretely Observed Markov Jump Processes
• The surplus prior to ruin and the deficit at ruin for a correlated risk process
• Erlangized Fluid Queues with Application To Uncontrolled Fire Perimeter
• Risk processes analyzed as fluid queues
• Phase-type Approximations to Finite-time Ruin Probabilities in the Sparre-Andersen and Stationary Renewal Risk Models

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