rescueefficiency［J］．MathematicsinPracticeandTheory，2020，50(7):115126.GeneralaviationtrajectoryplanningforrescueinmountainousareasbasedonflightsafetyAIHong-zhou，HEXin，LIUQuan-yi，HUMao-qi(CollegeofCivilAviationSafetyEngineering，CivilAviationFlightUniversityofChina，Guanghan618307，Sichuan，China)Abstract:Todealwiththehighcomplexityterrainproblemofthegeneralaviationmountainrescueflightenvironment，thispaperaimstofindathree-dimensionalrescuetrackplanningmodelbasedonanimprovedantcolonyalgorithm．Forthispurpose，itwouldbenecessarytoacquiretherealmountainterrainenvironmentdatatoestablishthethree-dimensionalflightenvironmentmodel．Thedataarehomogenizedandinterpolatedtomatchthegridsizeofthe3Dflightenvironmentmodelwhichisdeterminedbytherescueaircraftsafeoperationrules．Meanwhile，itcanimprovethesolutionefficiencyandaccuracyofthetrackplanningmodel．Then，takingtheshortestflightpathinthree-dimensionalspaceastheobjectivefunctionandtheflightperformanceoftheaircraft，suchasminimumdirectflightdistance，maximumpitchangle，maximumyawangle，maximumflightdistance，andflyingrange，astheconstraints，thepathoptimizationmodelisestablished．And，secondly，thetraditionalantcolonyalgorithmisimprovedbyreasonablysettingtheinitialpheromoneconcentrationdistributionandpheromoneconcentrationupdaterules．Theimprovedantcolonyalgorithmimprovesthesearchefficiencyandensuresthesafetyofaircraftflightpathsbynarrowingthesearchscope，avoidingtheblindnessofsearch，andautomaticallyavoidingobstacles．Finally，weusetheimprovedantcolonyalgorithmtosimulateandanalyzetherouteplanningofanavigationrescueinthesouthwestmountainousareaofChinaandgettheaircraftroutingpathunderthisalgorithm．Thedistanceerrorbetweentheaircraftroutingpathundertheimprovedalgorithmandthesphericalstraightlineiscontrolledwithin15%．Thepitchangleanddeflectionangleoftheaircraftroutingpathmeetthesafeflightrules，andthenumberofdeflectiontimesisless．Thesimulationresultsshowthatthegeneralaviationemergencyrescuetrajectoryplanningintherealmo...
