Journal
INFOR
Volume 47, Issue 4, Pages 319-333Publisher
UNIV TORONTO PRESS INC
DOI: 10.3138/infor.47.4.319
Keywords
Forest fire management; wildland fire; initial-attack; differential equations; numerical solution; spatial point process; Poisson; Erlang
Funding
- Natural Sciences and Engineering Research Council of Canada
- Aviation, Flood and Fire Management Branch of the Ontario Ministry of Natural Resources
- Canadian Commonwealth Scholarship and Fellowship Plan
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Each day forest lire managers must decide how many airtankers to acquire lot the day and where to deploy them to minimize their initial attack response time. We developed an initial attack airtanker system (IAAS) model and a heuristic procedure that fire managers can use to help resolve their daily airtanker deployment decisions The IAAS model is a spatial time-dependant multi-server queueing system with fires as customers and airtankers as mobile servers The differential-difference equations that describe the system are solved numerically and the results are used to predict the time-dependent performance of the airtanker system in terms of expected virtual response time (the elapsed time from the time a fire is reported until the time an airtanker arrives at the fire to begin initial attack action) over time given a specified deployment of airtankers to airports. We evaluate the IAAS model by comparing its results with those produced by a more realistic simulation model. The spatial deployment heuristic uses the IAAS model to identify improved daily airtanker deployment strategies We also suggest a myopic replanning heuristic to provide pragmatic solutions to the daily airtanker deployment problem
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