2019年美国大学生数学建模竞赛B题

2019年美国大学生数学建模竞赛B题

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时间:2019-10-07

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1、2019MCMProblemB:SendintheDrones:DevelopinganAerialDisasterReliefResponseSystemBackground:In2017,theworsthurricanetoeverhittheUnitedStatesterritoryofPuertoRico(seeAttachment1)lefttheislandwithseveredamageandcausedover2900fatalities.Thecombineddestructivepowero

2、fthehurricane’sstormsurgeandwaveactionproducedextensivedamagetobuildings,homes,androads,particularlyalongtheeastandsoutheastcoastofPuertoRico.Thestorm,withitsfiercewindsandheavyrain,knockeddown80percentofPuertoRico'sutilitypolesandalltransmissionlines,resulti

3、nginlossofpowertoessentiallyalloftheisland's3.4millionresidents.Inaddition,thestormdamagedordestroyedthemajorityoftheisland’scellularcommunicationnetworks.Theelectricalpowerandcellserviceoutageslastedformonthsacrossmuchoftheisland,andlongerinsomelocations.Wid

4、espreadfloodingblockedanddamagedmanyhighwaysandroadsacrosstheisland,makingitnearlyimpossibleforemergencyservicesgroundvehiclestoplanandnavigatetheirroutes.ThefullextentofthedamageinPuertoRicoremainedunclearforsometime;dozensofareaswereisolatedandwithoutcommun

5、ication.Demandsformedicalsupplies,lifesavingequipment,andtreatmentstrainedhealth-careclinics,hospitalemergencyrooms,andnon-governmentalorganizations’(NGOs)reliefoperations.Demandformedicalcarecontinuedtosurgeforsometimeasthechronicallyillturnedtohospitalsandt

6、emporarysheltersforcare.Problem:Non-governmentalorganizations(NGOs)areoftenchallengedtoprovideadequateandtimelyresponseduringorafternaturaldisasters,suchasthehurricanethatstrucktheUnitedStatesterritoryofPuertoRicoin2017.OneNGOinparticular–HELP,Inc.-isattempti

7、ngtoimproveitsresponsecapabilitiesbydesigningatransportabledisasterresponsesystemcalled“DroneGo.”DroneGowilluserotorwingdronestodeliverpre-packagedmedicalsuppliesandprovidehigh-resolutionaerialvideoreconnaissance.Selecteddronesshouldbeabletoperformthesetwomis

8、sions–medicalsupplydeliveryandvideoreconnaissance–simultaneouslyorseparately,dependingonreliefconditionsandscheduling.HELP,Inc.hasidentifiedvariouscandidaterotorwingdronesthatitwouldlikey

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