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u

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R 2

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* 7 8 3 !! & *-k78 1 * *-k78 *k78l8 = k 3 !! $ *-k78 = k *? t 8

R 2 *% 7 ! 8 3 !! * k78 1 * *-k78 *-k78l8 = k 3 !! * k78 = k D *?V08

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A C. R%C =?CHCm6l.SRE6 REFF 6l.'C Z%KSRE606l0NCE= 06lCH1CE=?6 VHRE MSCJVh Q'K'6CE2 O0%CHr6l.'CJVHREFF 2CHS=G06G * :8:+^' 1 6.'0(=/Cp#R Q'FC%%0N6 0(=/CER=? 6l J2C6lCH10'C+6l.#0(= VHREFF 2CH =?06G%+0Ro9CH1lC60(R60'O * t X 8r; 06.1lC_=?QSCEVh6 6 O70%C_=

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B * " P#'8 8 . 0 7 3 P# 2 " . 0 7 l0 3 P#<2a; D *UXu%8

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T 6.'Cm 76.'CH1 .SR 2n~; C[R=l=?K#Cm6l.SRE6X0 7 0>=Vh 7 =?6:RE6RS2 *B6 M CVh S=?0>=?6lC6T; 0N6l.p6.'CCpQS 7'CH6l0>RF VHR7=GC7810 7 B# 7 6.'CH

* :8 %$ u 0R # 7 B * " P#'8%CpQ9* " P# l # 7 8# 0R # 7 3 *UX08

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* :8 %$ B5*% " P#'8%CpQn* " 7 P# l 7 # 8i# 0n # B5*% " P#'8:*BC3pQ9* " P# l # 7 8 " C3pQ* " # 88# 0n # 3 *UXuN%8

HW

0channels

in use

1channelin use

c−rchannels

in use

cchannels

in use

. . . . . .

λH + λC λH + λC λH + λC λH λH

(c−r+1)µ cµ(c−r)µ2µµ

^]0OK'1lC op %63R6CQSR7VhC 0>RO1:R 1<,1lK'_ C_=?CH1i7RE6l0N 7rZ 2CHF-

B; FCH6 *%:85MSC 6.'C "%kdil"i!)&(e%f"(@n)EdidkH&(hg-&(c R 6lC1 60C 1+VhCHFF * %U; .'CH1C

$ * :8 &% & *%:843 ^ ! ^ $ ! g *":8 = *k78 ,,,,, $ *%:8 u * D *? 8

ADC O0%CRJ=?0NQ'FNC CpQ'1CE=l=G0 7T 1 *%:85MSCHF B;EGFIHH XH>UjW J `%i"(@@g-&(c l) "%$'e h2@[@L&($gGdidkH"(@ ) * % G K < #"%k

$ * :8 36^ ! ^ ! g * !!8-'B5*-k78 = k /8 $ *%:8 ; D *?X%8

EGFIHHKJ9Y CHmS#C 6.'CQ'1l VdCE=l=GCE= RES2 ; .#CH1lCD 71 RFNF4:/ [L*":8:; C . R%C[*: 8 3 f^ $ ! ` bcd e ! q b md i = *k8 R 2 *: 8 3 f^ $ ! . 0S*20 g 9:n*"k78l8 " 2 ` b#cd e !]q b md i = *-k78 D*?W%8 6lC 6l.SRE6[*[L* :8l8 $ * :8R 2 *[L* :8l8 @ ^ ! ^ ! g *":8 = *k78:DZ 71CH B%CH1H 0>=RI] 0(=l=G 7rQ'1l VhC_=l=+R7=+R K'SVh60 7 B : RS2 6l.SRE6

*: 8 3 f^ $ ! . 0Nn*0 g :n*"k78l8 " 2 = [*k8 D *? u 8

B; ;/C RQ'Q#Fm*-V85 IL1l 7QS =?060 u t RES2 =GCH6N: [L* !!83HX

> ? ? /I D C Q9N+ RIX CB P CB TU6l.'0>==?CEVh60 ; C50S20>VHR6CL.' B; ; C/VR 7M'63R0NRQ#Q'1l Bp0 RE6lCLM'FN V0#O/Q'1 7MSREM'0FN06l0NCE=c 71 VdCHFF>= 7 VhC6l.#CH .SR%C MSCHCH Vh 7S=G6l1KSVh6lC_2n<,/.'C_=?CM'FN V0'OJQ'1 7MSREM'0FN06l0NCE=/CpQ'F 06 Z"j`[RS2DI/; .#CHK'1l0>=?60(VH=Q'FNKS=/Cp#R7Vh6 1CE=?K'FN6:= 1 6l.'C.'0NO7.M; RH In;`Z[

v<=?0N'O Z"jDn@ F0[%C<CE=G6l0 R6l0N 7 CH6l.' 2#=h;/C VHREm2CVmS'CD 71 RrVhCHFF * %RCH61l0(V *% 7 8 71+6l.#C 13R7Vh60 BEV@`EQ%e `%id&u%&($'"7g-&($( :"(@[@ ) 2K'1l0N'OJ=? C<0N6CH1RF *% 7 8 R= REQ'Q'1 p0 R6lCF

*% 7 8 3 !! $ *k78 1 * g * 88 = k 3 !! *-k78 = k *?E8

; .'CH1C $ *k78 @ * k78 = '5%00NF(RE1lF; C<VHRE 2CHm 'C<RCH61l0(V *% 7 ! 8- 1/6l.#C] 13R7Vh60 7 e%il`H,,Se #"%$'e%` :"(@[@ ) CH6lCH10'OJVdCHFF * %2K'1l0N'O 6.'CM'KS=G.' 7K#1 * 7 8 6l MSC *% 7 8 3 !! * 9k8 1 * g * 88 = k 3 !! * k78 = k *?u%8

,/.'C RSREF#=?0(= RMS B%C<R=l=GK'CE=L6l. R6/. RS2 Bo = RS2 1l0NO70 R6l0N'O VHRFNF(=5R1C<6l1CER6CE26l.'C =lREC%7M'K#606 RHmMSC 2CE=?0N1:RM#FC6 mO70%C .SRES2 Bo=JQ'1lCH C1lCH6l0>RFL61lCERE6lCH6Hj #CT; RHD6l D2 m6.'0(= 0>= ; 06.6l1K'[1CE=?C1R60 7 5R7=20>=lVhKS==?CE2[0N <CHFFN H RS2 Z 061:R4+0NM'MSCHS=R 2 ?+KSR'O t UmA CrVHRERQ#Q'F I/;+@BFN0%C<CE=G6l0N R60 7JCH6.' 2'=/6 JRSREFYH0'O. RS2 Bo =~; 06. 61lK'_ 1CE=?C1R60 7 =h/%K'Q#Q =?C6l. R6CERV!.DMSR7=GCr=?6:RE6l0N 7[Q'1 B0>2CE= V:.SR'#CHF(=<M'K'6JR20N6:=<'C; 1l0O0SRE6l0N'OmVHREFF>= 7#F; .'CH RE6FC_R7=?6 l V:.SRE''CHF>= R1lCD 1CHC%5,/.'C 6l0 CH@B.# 7 O7CH'C 7KS=5ZmR1i% B0>Rf%CH1:=G0 B5=GKSV:. RJ=?#=?6CH 0>==?QSCEVd0RmSCE2M6l.'C=G6:RE6lC =?QSRVhC20>RO713R 0^]0OK'1lC % *UR=l=?K#0'O R Vh 7S=G6:RE6 =?CH1i0>VhC 1:RE6lC T 71 REFFVHREFF(=:8:^'1l MSR7=G0(V M'0N1l6l.#@URES2@-2CER6. Q#1l VhCE==<6l.'CH 1l%6;/CJ=GCHC 6.SR66.'C=G6lCER2@-=?63R6C Q'1 7MSREM'0FN06G 71 21 7Q'QSCE2 .SRS2 oD6l13RY V<0(=/CIZ%KSRF6

1 * 8 * l 8 1 ') 1 7 * l 8

l * l 8 1 * " l ! 8 +- *? t 8

R 2 6l.#C =G6lCER2 =G6:R6C Q'1 7MSREM'0FN06Gq 71 RFF9M'F V2%CE2 61:RY V<0(=

1 * 8 7 * l 8 1 * " l ! 8 ') 1 7 * l 8

l * l 8 1 * " l!'8 +- D *?08

A C; 0FNF<KS=GC 1 RS2 1 0N *G% t 8 RS2 *G% 086 2C%CHFN 7Q R I/; REQ'Q'1 p0 R6l0N 7p0N 6.'C' S=?63R6l0N 7SRE1lm 2CHFU/ADC . R%C 6l.'C 6l0NCH@-2CHQSCHS2C6 R1l10RF 1:RE6lCE= 0 * :8 RES2 * :8:'M'K#6;/C 'CHCE2 6l T' B; REDRQ'Q'1 7Q'10(RE6lCJR%CH1:REO7C =?CH1i0>VhC6l0 C%^' 1<6l.'0>= Q#K'1lQS %=GC%c 1Gk [L* :83'FCH6 g *":8LMSC6l.'C i:l)&(e%f"(@ :`%$#kdil)"7gU&(`%$mgU&(c R 6CH1 60C 0rVhCHFNF5* %c 71 R VHREFF6.SR6 R11l0%C_= 6 6l.#C .#0O7.M; RH RE6 6l0NCk; .#CH1lCr[L*":8 k [L* :8: 71 g *":8 . 09*20 g :n* 9k88 " 2 % ` b#cd e !]q b md i D *?uN%8

ADCVHRE CpQ'1lC_=l= 6l.'C =?K#s B 1lCE=G0(2KSREF6l0NCE= 0NmVhCFFL* RE6<6l0NC+R7= @ ^ $ ! ^ ! g *":8 = *k83kW/6l.#C Q#1l 7QSCH16l0NCE= B5I 70(==? 06lCO71:RE6l0N 7[*-=?CHC6.'C ; Q'QSCHS20[p 83:; C VR CpQ'1lCE== 6.'CCpQ C_Vh6:RE6l0 6l.#0(=/1:RES2 RE1l0(REM'FC R=

&%]3 ^ ! ^ ! g *":8 = *k78 * 36^$ ! ^ $ ! g *":8UB *k78 = k D *?uU%8

EGFIHHKJ9Y ADCKS=?C0 2KSVh60 7 7 5,/.'C1lCE=GK'F6 0(=/0 CH20(R6C 71 u ?+CHSVhC%=GK'Q'QS %=GC 6l. R6 3 * !83<%0SVdC MS 76.[=GCIZ K#CHSVhCE= RE1lC0NSVh1lC_R7=?0N'O'6;/C R1C2 'C0R 3

* :8:+,/.'CH1CH 71C%c; C 'CCE2

7#F Vh S=?0>2CH1+6l.'C VHR=?C *%:8:rW/ 2CHm '060 7 !U* 813 RS2r=? !G* *%:8 863

7FNF B;+= 1l 7 3 *%:8 W/6.'C1lCEVdK'1:=G0%C 2CHmS#06l0N 7r # *%:83c; C .SR%C 0NJCE20(RE6lCHF

6l. R6 3 *%:8:

nCH6 &]* !8 CIZ K RF 6l.'CK'JM C1 B 2SRE0(V VhCHFNF(= 'CHCE2C_2 R660C d ADCJVHRE[Vh Q'K'6C6l.'0>= M 7M =?CH1i0N'O6l.SRE6

& *%:8 ! * u H'p8# *$Uu%8; .'CH1C 0(= 6.'CJFCER=?606lCHOCH1O71CER6CH1 6.SR[ 1 CIZ%KSREF 6 LRES2 ! * u H'p8 CIZ%KSRF>= 6.'C R%C1:ROCZ%K'CHK'C+FCH#O76l. 06.'C=?C_Vh 7S2 Z%K'CHK'Ck 71+R6a;/ =G6:RE6l0 ! #(% ! #(' @ 'CH6a;/ 19L,/.'C =?C10(VhC 60CE=5RE66l.#C~mS1:=G6 =G6:R60 R1C<6l.'C+6l.#060CE=L0 g " k M; .'0FNC 6l.'C =?CH1i0>VhC 6l0NCE=LRE6/6l.#C=?CEVd 7S2=G6:RE6l0 R1C6l.#C VRFF9.' 7F>20#O 60CE=0 g " 0 g nCH6 * 9M C R 1CHO70N 7 6l.'C.'0NO7.M; RHs; .'CH1lC; CD; RE6 6 QSR16l060 6.'C1lCHO0 0N6 6.'C 7Q#6l0 RFnK'JMSCH15 VhCFF(= 2K'10'OJRO70[%CH6l0NC+06lCH1i7REF5*-k GnK#S2CH1 6.'CD 7FFN B; 0'OJVh S20N6l0 S= p

7+45R7V:.rVhCHFNFP; 0FNFVHRE1l1 R6+ %=G6 =G0JK'F63R'C 7KS= VHRFNF(=h+,/.'C BonC1lCE2 F %R2 VHREFF>=/6l 6l.#C VdCHFF>=; 0FNFnMSC C3%CH'FJ20(=?61l0NM'K'6lC_2n

t +45R7V:.rVhCHFNFP; 0FNFn6 7FC1:R6C' 71lC 6l.SRE =G 7C 1:RVh6l0N 7 56.'C0'0N6l0>R6lC_2VHRFNF(=5M'F V2%CE2n0'+45R7V:.rVhCHFNFP; 0FNFn6 7FC1:R6C' 71lC 6l.SRE =G 7C 1:RVh6l0N 7 6l.#C . RS2 Bo VRFF>= 21l Q'QSCE2n

ADC 6.'CH V:.' % %=GC 1=G 7C 1 RS2 =? 7 C6l0NC/: R QSRE1l606l0N 7 VhCHFF>= *: 8 DD'D <*-:S8D; .'CH1C *-:S8 * *-:S8 *-: 8-U" 7 *-: 8 *: 8 +*-: 8 S T 56l.#C o9CH1CE2 FN %R2 0(= C%CH'FN20>=?6l10M'K#6lCE2n6l.'C f * *-:S8l8 f *L*-: 88# 1 k4 0[%CH 5'RES2 :; C ; 0NFF9=lRH6.SR6 6.'C< Q'6l0N RFK' MSCH15 B VhCHFNF(= 0>= 1 *]8:6; .'0(V:.0(= 2CHmS'CE26 MSC6l.'C0N'0 RF'0N6CHO7CH1 1 =GKSV:. 6.SR6

Rp e e @ !g f * *: 8l8 1 * f *]8i# 1 8 = :@ !g f * *-: 88 = : 3 *$U t 8

R 2 Rp e e @ !g f *

*-: 8 : 8 1 * f *]8# 1 8 = :@ !g f * *-: 8 : 8 = : 3 D *$U08

6lC6l.SRE6 1 *]863 1 7 *]8:6; .'CH1C1 7 *]8 0 $ 1 ,,,,, 1 =?K'Qg e f'e ! f *]8i# 1 3 09* 58 D *$UuN%8

A C+06lCS2 6 =G6lKS2CH6l.# 2'= 715CHo9CEVd6l0%CF~mS 20'O 2C_=?013RM'FNC 6l0NCH@-2CHQSCHS2C6 VhCHFNF(= ` *-:S8 i0T K'6K'1lC; 719

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T ;/C+ 7#Fq VhKS= T; .'CH6.'CH15 71 ' 76 R VHREFFS0(=50JQ'1l O71CE=l=50 R VhCHFF RS2=GK'Q'Q'1CE=l=56l.'C+QS %=G06l0N 7; 06.'0 RVhCHFF-/6l.#CH R[QSR16l060 p 6l.'Cm.#0O7.M; RH 06l R m '06C K' MSCH1J VhCFF(=JRFNF B;+= KS=6 1lCQ'1lCE=GCH6 6l.#C .#0O7.M; RH I9;DZ R7=JR *L ! #(% ! #('p8 #(% ! #CH6a;/ 71i 0N 6l.'C 6lC1l0N' 7FN 7O7D 7dU,/.'CHDVdCHFF>= R1lC ' 2CE= RS2 1 0>= 6.'CK' MSCH1 ' 2C_=hT ;/CK'JM C1 6l.'C VhCHFF>= =?63R1l60'O R6<6.'C 710O0%6l.#CH 6.'C 'CH6a; 71 6l Q F O70>=LR7= =?.' B; J0^]0OK'1lCk0#7545RV!. VhCHFNF.SR=/RE Cp6lC1lSREFSR11l0REFQ'1 VhCE=l=+Vh 1l1lC_=?QS 7S20'OJ6l VHRFNFn 1l0O0SRE6l0N 7S= 0 6l.#C VdCHFF9R 2 RJ2CHQSRE1l6lK#1lCQ'1l VdCE=l=+Vh 711lCE=GQS 7S20N'O6l VHREFF6lC1l0NSR60 7 = 0 6.'C VhCHFF-5,/.'CH1C RE1lC RF>=? ;+= 1l ' 2C " 6 - 71` 33 1 l *B6.'C<.' 1l0NYH 76:REFnF0N'CE=50f^]0NO7K'1CD0'N8 Vh 711lCE=GQ S20N'O 6 .SR 2 o = VHREFF(=50Q#1l 7O1lCE==]; .#CH RVHRE1QSR=l=?C_= RJVhCHFNF MS K'S2'RE1l%

A C+' B; VdKS= 'C<VdCHFF; 0N6l.'0N6l.'0>= *$ ! #&% ! #&'p8 #(% ! 'CH6a;/ 19+^'1l 7HU&;/C' B; 6l.SRE66l.#0(=VhCHFNF]0N6:=?CFR VHRDMSC 1CHO%RE1:2C_2[R7=RI ! #(% ! #(' Z%K'CHK#C% ADC2 R 201CEVh6RESRFN'=G0(=<.'CH1C%J,/.'C1lC_=?K'FN6:=LMSCHF B;pVRMSC+Cp6CHS2C_2 6l 71lC OCH'CH13RFSF VR6l0N 7 =?QSRVhCE=d? B;/C%CH17.'CH1Ck;/C+CpQ'F 06L6.'C-R7Vd6 6l.SRE6 ' VHREFFVR 1lCH@ CH6lCH1+RVdCHFF R 6lC1 06 .SR= FNCH 6'C% O#'=GCHC ,/.'CH 1lCH t uN B hU

A C ' B; 2CVmS'C & *%:85RES2 $ *%:8 6l MSC1lCE=GQ C_Vh6l0[%CHF 6l.'CJ$#fcqEhdi`?a :"(@[@ )g( #"7g `%ih&u%&($#"7g?"%$'egGdihc&($#"7g? &($mh2@[@* %U A C VHRE C3pQ'1CE=l=/6.'CH 0N6lC1l =5 RS2 R7= p & *%:8 *":8 " * :8 * 0#E8

u

H(x,t)

Q(x,t)

(x,t)

space

time

x

t

^]0OK'1lC t Rp %QSRVhCH@ 6l0 C<20>RO1:R 1 6l.'CQ'1 VhCE=l=GCE= * :8 RS2 * :83

W

%K'Q'QS =?CJ6l.SRE6<6l.'C .'0O.:; RH 0>= Q R1l6060 7#CE2 06l =?K'M#06lCH1i7REF(=+VHRFNFCE2Dh2@[@ )dAp.'CHDRJVHR1<0>= 0NR VhCHFNFUn0N6:=<VHREFF>=<R1C .SRES2FNCE2 MmRr2CE=G0O7 R6lC_2hE:")E )dg-"7g-&(`%$J, r2CE=Vh1l0NMSC6l.'CJ.SR 2 o = B VHRFNF(= 1l 'CJVhCHFNF]6 R' 6l.'C1 RE66l.'C VhCHFF MS 7K' 2'R1mQ 06 X; 06l.#0m6l.#C6l0 C 0N6CH1REF/* " ' GU; CKS=GC6l.'C K' Vh6l0N 7 :n*k 83nC6< 7'CJ1:R20 MSR=?CJ=G6:R60 [Vh B%CH1+6l.#CJVhCHFF 71.'0NO7.M; RH 1lCHO0 * 'R 2 RE' 76.'CH1Vd %C1 * -P; .'CH1C u 3 3 ' ADC VHRDCpQ'1lCE== * :8 0D6lCH1 = I] 0(=l=G 7r06lCHO1:R60 R= p

D* :8 3 ^ ! ` b#cd e<f hg q b md i = *-k78 D * t uN%8

^]0OK'1lC t uO70%C_= R =GQSR7VhC@B60C20(RO1:RE 1 6.'CQ'1l VdCE=l=GCE= R 2 71 RQS %==?0NM'FC F VHRE6l0 K'SVd6l0 # RS2DRQ =l=G0M'FNC1lCEREF0Y_R6l0N 7r 6l.'C# 7'.' 7OCH'CH KS=I] 70>=l=G 7R1l10RF Q'1l VhC_=l=h ,/.'0>=QSRE1l6l0>VhK'F>R1+1lCEREF0Y_R6l0N 7 .SR= =GC%CHrVHR1 R11l0[7REF(=d ;<= 0^ 0O7K#1lC t N7S6l.'C =? 7FN0(2@ F0N'CQS 71l60 CERV!.6l13R (GCEVh6 71m1lCHQ'1CE=?C63= ; .'CH6l.'C VRFF50>= 0Q'1l O71lC_=l=h ^ 16l.'C =?QSCEVd0RmSCE2 RES2 d* :8 ; .'0NFC D* :8 t 5,/.'C+=lREC Vd 7S20N6l0N 7S=L6l. R65REFF B; KS=L6l 2CHmS'C * :8 RF(=G CHSRM#FC/K = 6 2CHm 'CR #"%$'e%` il"7gG * :8L0N *L 8:

^]0 RFFN%6.'C I] 70>=l=G 7 0N6CHO713RF91lCHQ'1CE=?C63R6l0N 7S=/ B * :85RES2 * !!8 R1C<p * :8 3 ! ` bcd e f ng& ! i = *k8 * t uU%8

R 2 * :8 3 ! ` b md e f ng& ! i = *-k78 D * t 8

v<=?0N'O 6l.'C=lRECmVd 7S20N6l0N 7S= R7=T 71 * :8JRS2 * :8 * 6l.'C=?CEVd 7S2 2CH10R60%CE= +[ R1C'CHC_2CE2 .'C1lC783:;/C =GCHC<6l. R6 6l.#C:"(@[@u.G`%id&u%&($'"7g-&(`%$:.Gi"7g? ed$ )&g-^ * :85R 2 6l.#CJ:"(@@u.-g?didc&($'"7g-&(`%$:.il"7gGe!$ )&gU^ * :850Nm*$ t 8 R1C;/CHFNF2CHm 'CE2n

A C ' B; C3pQ'FN 70N6 6l.#C I9;DZ =?6l1KSVh6K'1lC 6l 2CE2KSVhC 20>=?61l0M#K'6l0N 7SREF Q'1l Q C1l6l0NCE= 71J6l.#C M R7=?0>VQ'1 VhCE=l=GCE= D SRS2 LADC; 0FNFnQ'1 %C6.'C'Cp6/6a;/ J1lCE=GK'F63=/06.'C ; Q'QSCHS20p9MPO4QHFIQS TUjW 7n S a`(@@`K &($(mi!)fe@g()< #`(@e:A

-" J `%i"(@@ i!"(@ 2G ` * :8 u i & ) " \ `%& ):)`%$q,9il`Ehl):) KL&g( * :8U 3 !^ ! . 0 g 3 40 g 2 B *k8 = k D * t X%8

LE J `%i"(@@ $'`%$:. $ %"7g-&(k PG ` * !!8 " ' =' i & ) "\ `%& ):)`%$t,9il`Ehl):) KL&g( * :8U 3_^ $ ! . 0 g 3 :n*k n840 g 2 B *k78 = k D * t W%8

- Z `7g ` * :8 u " ' =' i "%$#e ` * :8 u " ' ' i "%i!gLKL` e%&(c d$ )&(`%$#"(@ \ `%& ):)`%$5,9i`Ehl):)El) KL&g

* :8U 3?^ $ ! . 0 g 3 :n*-k n8 2 B *k8 = k l 3 !^ $ ! . 0 g 3 2 B *k78 = k D * t u 8"%$#e

* :8U 3 ^ $ ! . 0 g 3 :n*-k n8 2 B *k8 = k l 3 !^ $ ! . 0 g 3 2 B *k78 = k D * t 8X

space

time

(0,s)

(χ(s,Ts),Ts)

(x, τ(s,x))

(χ(s,Ts),Ts)

(χ(s,t),t)

v(s,x)x

t

s

Ts

Ts

call holdingtime

think time

τ(s,x)

+ ++

−−−

^]0OK'1lC t op QSR7VhC@B60C 20(REO713R 71 RVHR1 0N 6l.'0N R 2 VHREFFn 2CE=h

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# *k :8 S*#5*-k :8 :8 * t E8

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^]0NO7K'1C t 0(=<R =?Q R7VhCH@ 6l0NC 20(REO713R 2CHQ#0(Vh60'O R VHR1<0Nm6l.'0NmRES2DVHRFNF] 2CE=h ,/.'CJ=? F0>2@BFN0'CQS 716l0 6l.'C VR1l = 6l13R (GCEVh6 71lm1CHQ'1CE=?CH6:=; .'CH 6l.#C VHRFNF/0>= 0Q'1l O71lC_=l=hTU[6l.'C 2'R7=G.'CE2@ F0N'CQS 716l0 S= M CV 71lC RS2 R 6lCH1'6l.'C VHREFF0(=/# 76 0 Q'1 7O1lCE==h

, .SR%CN[L* !!8 RS2 * :8P; CHFF#2CHmS#CE2n;/C 'CCE2 6l R7==?K' C 6l.SRE6 6a; VR1:=5VHRE'' 6 MSC+06.'C=lREC/Q#F(R7VdC+R656l.'C+=RC 60C5 1H%CIZ%K'0RFNCH6lFH6l.SRE6<:"%il)+:"%$#$'`7gP,#"):)<"%! `7g( Sdi:/*-T CEVh6l0N 7JW;/C; 0FNFS6l1lC_R6 VHR7=GCE=; .#CH1lCVR1:= VHRJQSR=l=/MKS=?0N'O 6.'C<Q'10SVh0NQ'FC B 0S2CHQSCHS2CH65=GK'QSCH1lQS %=G060 7 8

T * :890(=]6.'C K'JMSCH1 VHR13= ; 0N6l.JVHREFF>=]0Q'1 7O1lCE== RE656l0 C ; 06.'06.'C 06lC1RF =?QSRVhC* u 'ULADC VHR CpQ'1lC_=l=/06 0N 6lCH1 =L I] 0(==? 7r06lCHO1:RE6l0 rR7= p

* :8 3 !^ $ ! ` b#cd e !]q b md i = *k78 D * t u%8

; .'CH1CD0(=56l.'C 0S20>VHR6 71 K'SVh60 7 6l.#C=?CH6/0- C%N' * n8 <0n RS2 u 6l.'C1; 0(=GC%W/8:I 70(==? 0N6CHO713R6l0N 7:T; C CEREm=G6l V:.SR7=G6l0(V06lCO71:RE6l0N 7; 06.m1lCE=GQSCEVh6<6 6l.'C# 7'.' 7OCH'CH KS=I] 0(=l=G 7 Q'1 VhCE=l=N ,/.'0(=/0N6CHO713R6l0N 7rVHRE MSC=G0Q#FJ2CHm 'CE2R= R mS#06lC =?K' B%CH1 6l.'C (GK'QS=5 6l.#C I 70(==? Q'1 VhCE=l=N= 71 CERV!.r=RQ'FNC<QSRE6l.S=GCHC6l.'C ; Q'QSCH 20pt 1 71C2CH63R0NF(=h

,/.'CmQ'1 VhCE=l= VHREpREF(=? MSCmVd 7S=G6l1lK Vh6lCE2 M REQ'Q'F0#O I] 70>=l=G 7p06lCO71:RE6l0N 7 6 Rh@`E:"7g-&(`%$,9il`Ehl):) g * !83nR=~;/CJ20(2 0N 7HU+A C 2CHmS#C6l.'C@`E:"7gU&(`%$ )a,#"%h/6l M C6.'CJ=?C6 B/ 1:2C1lCE2 QSRE013=* u 8 RS2p* 8D 71 W 50U C-; .#CH1lC 0(=R ' ''CHOR60%C 1lCEREF/K'JM C1HD,/.'C QSR0N1 * u 8Vh 1l1lC_=?QS 7S2#= 6 6.'CVHRE1 M C0'O R6 QS %=G060 7 7 6.'C.'0O.:; RHRES2 0N6l.'C6.'0 2C% ,/.'CQSR0N1* HE8+Vh 1l1lC_=?QS 7S2#= 6 6l.#CVHRE1<MSCH0'O R6<QS %=G060 7 m0r0 VHRFNF0#O 2C% ADCJVHRr6l.'CmFCH6 g * :8MSC 2CHmS'C_2 M

g *%:8 k *#5*-k :8 u 8 13 k 40 g *#5*-k :8 H8 0 g 3 k 0 g 0 g 3 k * t t 8

; .'CH1C RS2 R1lC 6.'C,8Q'1lC@URE1l1l0[RF :RES2 8:Vh Q'FNCH6l0N 7'@ 2C :+=?63R6CE=LR7=52CVmS'CE20r h-L,/.'0>=O70[%CE= K = REmRFN6lCH1SR6C Vh 7S=G6l1KSVh6l0N 7 #* :8 R7=

* :8 3 !^ $ ! d ! 7 = *k78 D * t 08

ADC # ; R7=l=GK'C50 R2'2060 6.SR6 [0(=n6a; 0(VhC Vh 76l0NK' KS=?FN20nonC1lCH6l0>RM'FNC%'B0(=n SVhC 20nonC1lCH6l0>RM'FNC%R 2 71+REF =?6 RFF4kJ* ; 0N6l. 1lCE=GQSCEVh6/6 6.'CCER=?K'1CB5*-k78 = k783 6.'C20>=?6l10M'K#6l0 S=/ M 6l.X0 g RS20 g .SR%C 2CHS=?0N6l0NCE=h Ap06l. 6.'CE=?C R=l=?K#Q'6l0N 7S=d'6l.'C VhCFF92CHS=G06G 0D*$u 8 0(=; CHFF 2CHmS#CE2n

U

; Q'Q#F0'O 6l.'C 7QSCH13R6 71 ! 6 6l.'C Vh S=?CH1iR6l0N 7r1lCHF>R6l0N 7M;/CO7C6 6.'C 20Ro9CH1CH60(REF CZ KSRE6l0N 7 * !!8>l

* :8 * !!8 " * :8 D *$08

;<==?K'0N'O6l. R6+6l.'C VHRFNF0#OJ2CHS=G06G * :850(= 'C%CH1 YHC1l K''FNCE=l= 6l.#CVHREFF.SRES2 o 1:R6C * :850>=RF>=? #'FCH6

* :8 * :8 * :8 *$uN%8

; .'CH6l.'CJ1:RE6l0 0>= ;/CFF52CVmS'CE2DRS2=?CH6S* :8 CIZ%KSRF56 YHCH1 76l.#CH1; 0>=?C%JA C VRDO70%C S* :86l.#C Q#.#=?0>VHRF0N6CH1lQ'1CH6:RE6l0N 7 56.'C "%i: %"7g? c "%$ kE2@`EH&g-^ 71+6l.'C RVh6l0[%C VRFF>=hLADC .SR%C' B;Vh1CER6CE2M 2CHmS#06l0N 7 6l.#C 1CHF(RE6l0N 7

* !!8 * :8 * :8 D *$uU%8

,/.'0>= QSRE1:REFFCF(=6l.'C+ K'S2#RCH6:REFVh 7 =?CH1i7RE6l0N 7CIZ%KSR60 S= BS.'0NO7.M; RH6l1:RY V7=GCHC5Q+%0< B ? RMSCH1l@ RE[ 07-5,/.'C20no9CH1lCH VhC<.'CH1C0(=/6l. R6;/C R1C 6:REF0'OJREMS 7K'6VRFF>= 0NS=?6CER72 VHRE1:=d %K#MS=?606lK#6l0#O6l.#0(=/06l 6.'C Vh 7 =?CH1i7RE6l0N 7m20Ro9CH1lC60(RF9CIZ%KSR60 7rREM B%C%; C<O7C6

* :8 l

S* :8 * :8 * :8 " * !!8 D *$ 8

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IT N N7CB P N CRP Q ! G > I B,/.'C Vh 7 =?CH1i7RE6l0N 7CIZ%KSRE6l0 S=LO70[%CHJRMS B%C .# 7F(2 71 REJ=G6l V:.SR7=G6l0(V .'0NO7.M; RH 2CHF- ,/.'CE=?C+CIZ%KSR@6l0N 7S= O B%CH1l[6.'CC_RDM C.SR0N 71 71 D 5R 2 LM'K#6J2 m' 76 O70[%C R 0NS=?0NO7.6 0N6 6l.#CH01 20(=G6l10M'K'60 S= 1 MSCH. R0 1<R=<=?6 V!. R7=?60(V Q'1 VhCE==?CE= 0S2CpC_2 MMS 76l.=?Q R7VhC RS2 60C%rW/=?QSCEVd0(RFN0YH0N'O 6 6.'C In;DZ%CH13=?0 6l.'C.'0NO7.M; RH 2CFU;/C VHRE . RS2FNCM 6l.m0>=l=?K#CE=h

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N

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