чH(Thu Jul 31 20:47:04 2003) From Carrier3.vmfe,hЦ(ШlЪlЪwЪlЪ1"Ў7Lї Иј\;<=$%&'(*#ABе ?@>)FЋ `` ђ ђ ђ ђ?Ђ?2 н?ЉЂцЂццZь це?ЂЂцЂцQь ю? ЂцЂц4mь ц?”ЂцЂцlь$ ЂцЂцјЉ$ЂцјЉ'ЂцЂцМ$3L+ЂцЂцМ @ШњЂцЂцМ$HяSЂцЂцµEМ$QЂцЂцј ‡T+"ЂцЂц?*М$^г ЏbЭн<ЂцЂцlМ(l™<oЂцЂц_М$yТб<ЂцЂцj5М ~ЂцЂцј ‡ЃЂцЂцј ‡ѓЂцЂцј ‡‡W4ЂцЂцМ ”bEЂцЂц М$њ4Ю9ЂцЂц-М(ўрщ<ЂцЂцnМ(©ЂцЂцј ‡¬QЂцЂцМ$ґET Џ¶»‚MЂцЂц–М(БЂцЂцј ‡Дђ]ЂцЂцМ$МЫдSЂцЂцРМ(ТЂцЂцј ‡ХЎfЂцЂцМ Ь¬q$ЂцЂцМ аЂцЂцј ‡д·zЂцЂцМ мВѓ0ЂцЂцМ чН‹(ЂцЂцМ ¶<ЂцЂц`М Ћ^<ЂцЂцЌМ(]<rЂцЂц&hМ хҐЂцЂц" М %®ЂцЂц$!М 0№,ЂцЂц&"М$8»29ЂцЂцI,М$BВ0ЂцЂц)#М HЂцЂцј ‡M%П5ЂцЂц+$М$VKс5ЂцЂц1%М$an5ЂцЂц6&М$kю* Џm_µЂцЂц]3М$wc[ЂцЂцЫVМ$ђъ( Џ’–teЂцЂцш[М њ‡5ЂцЂц9'М$ –5ЂцЂц;(М$ЁЎ<ЂцЂц=)М «¬'ЂцЂцF+М$А=‰<ЂцЂцYМ(ЗаХ?ЂцЂц?nМ ПЉЂцЂц^М$еК:ЂцЂцK-М мХB?ЂцЂц.М таPЂцЂцM/М$щP’ЂцЂц[2М$ющZЂцЂцO0М$q<ЂцЂцUМ(dЂцЂцR1М$*}<ЂцЂцWМ(јЂцЂцњ=М$&¤АЂцЂцe4М$-іЩPЂцЂцhМ 4<ЂцЂц6М$;ќh<ЂцЂц“ М(G<ЂцЂц{7М JBЂцЂц}8М$NB.ЂцЂц9М$Tђ*bЂцЂц«BМ$_[7,ЂцЂцЃ:М$jf@ЂцЂцѓ;М$wqIFЂцЂц…<М$ЂlщYЂцЂц¦@М$‡ЂцЂцј ‡ЊTJЂцЂцМ(–¬r<ЂцЂцМ(ќwBЂцЂц(iМ$Ё^іBЂцЂц,kМ$к†MЂцЂцсXМ µТЊPЂцЂцљМ(Ѕб–9ЂцЂц‡М(Йр 9ЂцЂц‰ М(ТяЄSЂцЂц‹ М(ЭэцkЂцЂцЧOМ$вґSЂцЂц‘М(ртмkЂцЂцХNМ$ы(И?ЂцЂцМ( 9ФЂцЂц >М$-iЂцЂцєGМ$БНЂцЂц.М (LЯ(ЂцЂцў?М$2.ѕЂцЂц\М$@[кVЂцЂц¤М(FхЋPЂцЂцуYМ NЂцЂцј ‡QМЧSЂцЂцМMМ$[ІїoЂцЂцИKМ hјeЂцЂцЮWМ$u…]ЂцЂц©AМ |Ъ4<ЂцЂцcМ ЂЯ6fЂцЂц±CМ$‹рCЂцЂціDМ$љ>ѓЂцЂцјМ §U<ЂцЂц$gМ «яЂцЂцЩPМ ¶^SЂцЂцёFМ$А]—kЂцЂцѕHМ$ЛЈ¶$ЂцЂцЖJМ$ХЂ«kЂцЂцБIМ$аЅМkЂцЂцКLМ$кЂцЂцRМ$ъ(ЂцЂцSМ$ 9'ЂцЂцTМ$T1ЂцЂцUМ$П,<ЂцЂцbМ Л~ЂцЂцбМ *ґЂцЂцМ 6=ЧЂцЂц М D\бЂцЂц]М$QkъЂцЂц М ^Д$<ЂцЂцaМ iе<<ЂцЂц dМ lрD<ЂцЂцeМ oыLЂцЂц"fМ r0D ЏtO‚ЂцЂц*jМ$~лЭ<ЂцЂцCoМ ‚wMЂцјЉњмL|,ЊмЊњ\јьМЬм¬јь<l|њ¬јьь<\Мl|Ьмь,,L\lЊ¬њј|њЬмlLЬь,<\l|¬,ЬLјьМl|¬МЊ,LL\њЊl¬МјЬьL\<ЊЊмь¬<<мЬ|МјЊLј\l|<\МЊ,<њ¬ј|м<МЬЬ¬њМ,lњ\L,мCЎ7LїггИ…SUMPRODVMINVMAXTimeINITIAL TIMEFINAL TIMETIME STEP SAVEPER.Carrier3 .Coyle.Ability to overcrowd aircraft on carriers2Absolut maximum number of aircraft on carriersBomber aircraft per carrier"Fighter air craft per carrier -dmnls&Carrier arrival rate in enemy watersIF THEN ELSE&Carriers awaiting for entry to area2Number of carriers committed to anyone occasionCarrier Pipifax -Carrier-Day-aircraft2Absolute maximum number of aircraft on carrierAverage bombers per carrierBombers in carriersCarriers in enemy waters -BomberAverage damage per carrierZIDZ*Cumulative damage to surviving carriers -DamageAverage fighters per carrierFighters in carriers -FighterBase damage repair rateBase value-EnBoSortieBase value for damage limit*Base value for survivability fraction2Base value of enemy bomber damage effectiveness"Number of carriers in first wave.Cumulative carrier deployed in enemy waters PipiFax"Bomber per carrier in first wave*Bomber per carrier in subsequent wavesBomber sortie delivery rate&Carrier bombers capable of operatingBomber sortie rate-Bomber Sortie"Bombers arriving with carriers*Bombers loss rate due to carrier losses&Bombers loss rate from enemy actionMIN&Carrier loss rate in enemy watersbFraction representing the ability to transfer surviving aircraft from a lost carrier to anotherMAX&Loss probability of a carrier bomberBombers lostBombers lost from carriers CarrierRCarrier arrival rate in enemy waters to create effect of pipeline delay dummyCarrier dispatch rate L3Voyage time to enemy watersVMultiplier to reflect effects of carrier damage on ability to mount air operationsCarrier deploy policyCarrier deploy timeCarrier dispatch rate 1Carrier forceCarrier dispatch rate 2Carrier dispatch rate L1Carrier dispatch rate 3Carrier dispatch rate L2.Damage limit beyond which a carrier is lostCarrier numbers factorCarrier numbers factor fCarriers left to deploy.Cumulative carriers deployed in enemy waters CarrPipiClip outflowCombat duration rate*Enemy bomber sorties against carriers*Cumulating bomber sortie delivery rate2Cumulating carriers deployed into enemy waters"Cumulating enemy bomber lossesEnemy bomber loss rate-Enemy bomber&Cumulative bomber sorties delieveredCumulative carriers lost*Rate of inflicting damage to carriersRate of repairsInitial cumulative damageCumulative enemy bomber lost.Cumulative bombers lost from carriers losses"Cumulative carrier bombers lost*Cumulative carrier borne fighter lostFighters lost6Cumulative carrier fighters lost from carrier losses*Fighters losses rate from carrier losses:Duration of actual combat between bombers and carriers&Effective fighter cover per carrierFighter cover per carrier.Scaling factor for effect of carrier number&Enemy bomber damage effectiveness6Multiplier to effect fighter coverage of carriersEnemy bomber forceInitial enemy bomber force -Enbo&Fighters capable of being operated2Fighter versus enemy bomber combat effectiveness2Fraction to reflect fighter covering carriersEnemy bomber sortie rateOne carrier*Enemy bomber to fighter target density:Factor on fighter loss from enemy bomber target density2Fighter loss from enemy bomber target density fPipcarrier*Fighters per carrier in subsequent waves&Fighter capable of being operated*Fighter loss rate due to enemy action&Fighter lost per enemy bomber sortie*Fighter loss rate from carrier losses&Fighters arriving rate with carriers>Fraction of carrier borne bombers lost from carrier losses:Fraction of carrier fighters lost with carrier sinkingFraction of carriers lost"Fraction of enemy bombers lost one car2Fraction to reflect fighter covering carriers f.Multiplier for effect of carrier damage f6Multiplier to effect fighter coverage of carriers f2Multiplier to reflect effects of average damage2Multiplier to reflect effects of average damagef*Number of carriers in subsequent wave PicaPi PiCar PiCariSTEP&Rate of repairing damage to carriersWatercarr .ControlpвЎ7Lї ‡Ў7LїxxИt|Њњ|м|,|\|,|Њ\Њ$,Њ(LЊ,LЊм0мЊ5м9|<Њ?,ЊBњЊFLJ,MњP\SмVмЊYЊЊм]ЊЊbЊЊ\f\ЊkмЊ\oмLЎ7LїИЎ7LїLLdЬ¬l¬њ,¬l<М¬ЬјМ¬¬Ь\ьь|\Мјl,М|ЬмМЬњ\LЬlЬЬLьњњјјЊ¬llЬ,јLМЬњ,Ь,,јь<њЬ|LЊ¬МЬ\l¬ьммьььь\ь,Ьњ,¬МL|МL<ЊL¬М\јЬЬЊ|\L<¬L\<¬ЊLЊL¬<њМьL,lМЊј јь,lњ,<L¬\МЬМl||¬lЊ¬М¬Ь<¬јЬl,њь¬,ь\\¬LМЬьЬ|Мl l,|њ,¬ММЬ¬Њ¬Ьь<LЊмьq,яяяяяяяTimes New RomanvFighter aircraft sectord-.яяяяяяяяTimes New RomanZdAircraft Carrier Sector/0яяяяяяяяTimes New Roman)dAircraft Loss Sector12яяяяяяяяTimes New Roman4dCarrier Bombers34яяяяяяяяTimes New RomandDamage calculation sector56яяяяяяяяTimes New Roman)dEnemy airforce sector78яяяяяяяяTimes New RomanmFighting Outcome Sector9:яяяяяяяяTimes New RomandView 8 &.5<DKRYdkryЂ‡Ћ™ ієБМЧЮерчю)07BMX_juЂ‹–Ў¬·ВНШгкшю "(.4:@FLRX^djpv|‚€Ћ”љ ¦¬ІёѕДКРЦЬвиофъ$*06<BHNTZ`fHЎ7Lїууф¤ L^Ы6 0¤Ч я0нШ" Ьнь(0#с я0Ту" МТ0(0"Л я0ЗЛ" ¬ЗҐ,( <– "*( <А<&ЂЂЂЂЂЂ |Tz L›д(" ыz& ьL72 јЫЋ- ьГ)*( ь7„(ЂЂЂЂЂЂ м=%JH Ь©21!:яяяяTimes New Roman [0 ЊhО-$*( њO2яЂЂЂЂЂЂ*( ¬µd›яЂЂЂЂЂЂ њIЄ+ ¬ЖfM**( њЂб"ЂЂЂЂЂЂ L60 ЬШ3" ьЁ( Мk1@ ЬЖ,5*( ,ёя<-ЂЂЂЂЂЂ*( јµdcяЂЂЂЂЂЂ \;ЉM lФ†4*( ьы›`яЂЂЂЂЂЂ*( Ьы›PяЂЂЂЂЂЂ*( Мы›ЊяЂЂЂЂЂЂ мюя*( ьП`яЂЂЂЂЂЂ*( <tЎ^яЂЂЂЂЂЂ*( њ}А^яЂЂЂЂЂЂ*( ¬zЧtяЂЂЂЂЂЂ*( Ь‡ыVяЂЂЂЂЂЂ*( М1ЊяЂЂЂЂЂЂ*( <::"ЂЂЂЂЂЂ*( Ь–Щ(ЂЂЂЂЂЂ*( М ЂЂЂЂЂЂ*( ,®@(ЂЂЂЂЂЂ*( ь©б!яЂЂЂЂЂЂ*( <Жn.яЂЂЂЂЂЂ |ѕ я4( ,"яЂЂЂЂЂЂ ШdЛШшуd°у тЛ d«Л"sу(!ЛOЂцD'°_ y‹ † Q¤ ЧЯ )ј[IЋЙ W—!ТњКСPЅЭб]ъ ?ќ!Ц©•Њ.ђ $СЫZCн>$Й¦%$Йq&"ў'"ў("ў*K+:Ќ->±.њЖ/ С0ю4њ)1Kр2\3Zn"!c\5ж#ѕdѕdF)юЬ4’І5ГH6юЄ7*ЦцсА$xяяAdapted with permission by Rod Macdonald from: Coyle, R. 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