Premium
Optimal forest fire control with limited reinforcements
Author(s) -
Parlar Mahmut
Publication year - 1983
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660040208
Subject(s) - optimal control , boundary (topology) , control (management) , constraint (computer aided design) , bang–bang control , bounded function , control theory (sociology) , mathematical optimization , maximum principle , control variable , state (computer science) , mathematics , computer science , engineering , algorithm , statistics , mathematical analysis , artificial intelligence , geometry
A forest fire fighting model is generalized to include the possibility of dispatching reinforcements whose size may be limited for the particular fire. The resulting deterministic optimal control problem with free final time and a moving boundary equality constraint on the final state and with bounded state and control variables is solved by the maximum principle. The optimal control is found to be a bang‐bang control which can switch at most twice until the final time.