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NAVAL POSTGRADUATE SCHOOL Monterey, California THESIS Comparing CombatModels UsingAnalytical Surrogates by Captain John R. Green, U.S. Army June, 1991 Thesis Advisor: Donald R. Barr Approved for public release; distribution is unlimited T256950 Unclassified SECURITYCLASSIFICATIONOFTHISPAGE REPORT DOCUMENTATION PAGE 1a REPORTSECURITYCLASSIFICATION 1b RESTRICTIVE MARKINGS UNCLASSIFIED 2a SECURITYCLASSIFICATIONAUTHORITY 3 DISTRIBUTION/AVAILABILITYOFREPORT Approvedfor publicrelease;distributionisunlimited. 2b DECLASSIFICATION/DOWNGRADINGSCHEDULE 4 PERFORMINGORGANIZATION REPORTNUMBER(S) 5 MONITORINGORGANIZATIONREPORTNUMBER(S) 6a NAMEOF PERFORMINGORGANIZATION 6b OFFICESYMBOL 7a NAMEOFMONITORINGORGANIZATION NavalPostgraduateSchool (Ifapplicable) NavalPostgraduateSchool 38 6c ADDRESS(City,State,andZIPCode) 7b ADDRESS(C/ty,State,andZIPCode) Monterey,CA 93943 5000 Monterey,CA 93943-5000 8a.NAMEOFFUNDING/SPONSORING 8b OFFICESYMBOL 9 PROCUREMENTINSTRUMENTIDENTIFICATION NUMBER ORGANIZATION (Ifapplicable) 8c ADDRESS(City,State,andZIPCode) 10 SOURCEOFFUNDING NUMBERS ProgramElementNo ProjectNo IaskNo WorkUnitAccession Number 11 TITLE(IncludeSecurityClassification) COMPARINGCOMBATMODELSUSINGANALYTICALSURROGATES 12 PERSONALAUTHOR(S) GREEN,JOHNR. 13a.TYPEOFREPORT 13b TIME COVERED 14 DATEOFREPORT(year,month,day) 15 PAGE COUNT Master'sThesis From To JUNE 1991 91 16 SUPPLEMENTARY NOTATION TheviewsexpressedinthisthesisarethoseoftheauthoranddonotreflecttheofficialpolicyorpositionoftheDepartmentofDefenseortheU.S. Government. 17 COSATICODES 18 SUBJECTTERMS(continueonreverseifnecessaryandidentifybyblocknumber) FIELD GROUP SUBGROUP CombatModels,SimulatedAnnealing,Regression,DifferenceEquations,Stochastic Models 19 ABSTRACT(continueonreverseifnecessaryandidentifybyblocknumber) Thewidespreadavailabilityofinexpensivehigh-speedcomputershasledtothedevelopmentofcomplex,detailedtechnicalmodelsofcombat. Thesehighresolutioncomputersimulationsandwargamesaretoutedbytheirproponentsaslow-costalternaticestoextensive,high-costfield trainingexercisesforthetrainingofcombatleaders. Thevalidityofthesesimulationsasmodelsofcombat,andthusasusefultrainingtoolsis unproven. Directcomparisonofsimulationswithfieldtrainingexercisesisoftenfrustratedbytheinherentcomplexitiesineach,andtheshortage ofqualitydatafromfieldexercises. Thisthesisexaminesthefeasibilityofcomparingthesesystemsindirectlythroughtheuseofsurrogate analyticalmodels. Asimplediscretetimestochasticsurrogatemodelisexamined. Techniquesforusingthesurrogatemodeltocomparebattle dataarestudiedusingsimulateddatafromasimplecombatmodel. Areasforfurtherresearcharediscussed. 20 DISTRIBUTION/AVAILABILITYOFABSTRACT 21 ABSTRACTSECURITYCLASSIFICATION FKunclassieied/unlimited J sameasreport J dticusers UNCLASSIFIED 22a NAMEOF RESPONSIBLE INDIVIDUAL 22b TELEPHONE(IncludeAreacode) 22c OFFICESYMBOL DONALDR.BARR 408646-2763 MA/BA DD FORM 1473,84 MAR 83APReditionmaybeuseduntilexhausted SECURITYCLASSIFICATIONOFTHISPAGE Allothereditionsareobsolete UNCLASSIFIED Approved for public Release; distribution is unlimited Comparing Combat Models Using Analytical Surrogates by John R. Green Captain, United States Army B.S., Siena College, 1981 Submitted in partial fulfillment of the requirements for the degrees of MASTER OF SCIENCE IN OPERATIONS RESEARCH and MASTERS OF SCIENCE IN APPLIED MATHEMATICS from the ABSTRACT The widespread availability of inexpensive high-speed computers has led to the development of complex, detailed, technical models of combat. These high resolution computer simulations andwargames are touted bytheirproponents as low- cost alternatives to extensive, high-cost field training exercises for the training of combat leaders. The validity of these simulations as models of combat, and thus as useful training tools is unproven. Direct comparison ofsimulationswith field training exercises is often frustrated by the inherent complexities in each, and the shortage of quality data from field exercises. This thesis examines the feasibility ofcomparing A these systems indirectly through the use of surrogate analytical models. discrete mathematical surrogate model is examined, and used to generate probability surfaces We for comparison. consider several techniques of fitting surrogate models to combat data, includingsimulated annealing, steepest descent, and multiple regression. Areas for further research are discussed. m fU>0/^ / Q72& THESIS DISCLAIMER The Reader is cautioned that computer programs developed in this research may not have been exercised for all cases of interest. While every effort has been made, within the time available, to ensure that the programs are free of computational and logic errors, they can not be considered validated. Any application of these programs without additional verification is at the risk of the user.

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