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1398u=DUtR'h}QWC}Q}Otw`}=vY|UOvyt 9281"X'2/2|xQ=tW'351|xQwO OriginalArticle

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saeidnajibi@gmail.com amiri@shahed.ac.ir fzd.amirkhani@shahed.ac.ir

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|wQ =yv; QO u=tRsy CQwYx@ CU= umtt =y|@=QN w |D}i}m C=Q}}eD xm |}=yOv}=Qi

|=yVywSB Q}N= |=y p=U QO w CU= xOW KQ]t^[3]T=Q=o=D \UwD Q=@ u}rw= 'OyO

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DOI:10.24200/J65.2019.51017.1883

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f₁(t) = ( B₁¹)( t₁)^{B1 1}e ^(t1)B1; (13⁾

f₂(t) = ( B₂²)( t₂)^{B2 1}e ^(t2)B2; (14⁾

g₀₁(x₀) = ( B₀₁⁰¹)( x₀₁⁰)^{B01 1}e ^(x010)B01; (15⁾

g₁₁(x₁) = ( B₁₁¹¹)( x₁₁¹)^{B11 1}e ^(x111)B11; (16⁾

g₀₂(y₀) = ( B⁰² 02)( y⁰

02)^{B02 1}e ^(y020)B02; (17⁾

g₁₂(y₁) = ( B₁₂¹²)( y₁₂¹)^{B12 1}e ^(y121)B12: (18⁾ C=}rta |xv}Ry =yvDxv 'pQDvm R= GQ=N Cr=L QO xm CW=O xHwD O}=@ xDmv u}= x@

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T = (K +1^{)h: (}19⁾

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%OwW|t x@U=Lt Q}R CQwYx@

TD= KDh: (20⁾

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%CU= xOW xO=iDU= xO=U |]N

Y = b₀+ b₁X + ": (1⁾

"OW=@^N(0^{; 2)}|iO=YD |=]N `}RwD w OvDUy swrat<sup>b1</sup> w<sup>b0</sup>xm OwW ZQi CLD Cr=L QO Ov}=Qi w OvwW|t |R=Ov=x=Q pt=m Qw]x@ 'Ov}=Qi `wQW QO C=R}yHD Qy pwYLt |i}m |=yxYNWt "OwW|t xDio QiY Cr=L u; x@ xm OQ=O Q=Qk pQDvm

%OvDUy Q}R CQwYx@ w p=tQv `}RwD |=Q=O R}yHD wO

X N(₀X; X²); (2⁾

Y N(₀Y; _Y²): (3⁾

Q@ CQ=_v |=Q@ ^X Q=Owtv R= "OwW|t s=Hv= swO |xrLQt u=}=B R= Oa@ |Q}oxvwtv xO=iDU= swO |xrLQt Q@ CQ=_v |=Q@ xOv=t|k=@ u}ov=}t Q=Owtv R= w pw= |xrLQt

"OwW|t

|=Q@ "OwW|t xDiQo Ov}=Qi R=^{(xi; yi)}|}=Dⁿ|xvwtv l} swO |xrLQt u=}=B QO

%OwW|t x@U=Lt Q}R CQwYx@ u; |i}m |xYNWt u}ov=}t pw= |xrLQt

Xt= Pn i=1xit

n : (4⁾

pw= |xrLQt |i}m |xYNWt |=Q@^X pQDvm Q=Owtv u}ov=}t |x@U=Lt R= TB

%OwW|t sUQ Q}R pQDvm OwOL

Z₁t= X^t X

X

/pn ; (5⁾

UCL =0^{+ L}1(_p1

n); (6⁾

LCL =0 ^L1(_p1

n): (7⁾

|=Q@ xOv=t|k=@ u}ov=}t Q=Owtv O}=@ 'pw= |xrLQt |=Q@ pQDvm Q=Owtv sUQ R= TB

%CU= Q}R CQwYx@ swO |xrLQt |xQ=t; "OQm sUQ R}v =Q swO |xrLQt

et= Pn i=1eit

n ; (8⁾

%OwW|t x@U=Lt Q}R CQwYx@^eitxm

eit= yit b₀ b₁xit: (9⁾

%OwW|t x@U=Lt Q}R CQwYx@^etxQ=t; pQDvm OwOL

Z₂t= e^t 0

Y

/pn; (10⁾

UCL =0^{+ L}2(_p1

n); (11⁾

LCL =0 ^L2(_p1

n): (12⁾

R= GQ=N x@ Ov}=Qi Cr=L Q}}eD^[2]'u=Q=mty w u}} |xr=kt Ovv=ty VywSB u}= QO

"""CU=}Uw|Q=t;Ov}=QipQDvm|xJQ=Bm}pOt

"C=Q}taD w |Q=Oyov w |Q=t; C}i}m pQDvm xJQ=Bm} pOt |=yw}Q=vU "1 pwOH

2 u}W=t 1 u}W=t

Q=OWy Q}}eD Q}}eD |@=QN |@=QN

sr=U Q=OWy Q}}eD Q}}eD |@=QN |@=QN

sr=U w}Q=vU Q=Owtv C}i}m C}i}m R= Oa@ R= p@kR= Oa@ R= p@k Q=Owtv C}i}m C}i}m R= Oa@ R= p@k

TD TD R= Oa@ R= p@k

TD TD

TD TD TD TD

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

xNQJ Q=_Dv= OQwt |xv}Ry xm O};|t CUO x@ CQwY u}= x@ '^{E(CT )}'u=tR OL=w

"OwW|t s}UkD xNQJ Q=_Dv= OQwt u=tR x@

E(CT ) = E(Cycle Cost)=E(Cycle T ime) = P28

i=1P (Si)E(C jSi) P28

i=1P (Si)E(T jSi)

: (21₎

w}Q=vU Qy `wkw p=tDL= |x@U=Lt "5"2 Qy =} wO =} l} R}yHD =t= 'OyO|tv MQ Ov}=Qi QO C}i}m Q}}eD 3 =D 1 |=yw}Q=vU QO

"OvwW|t ?=QN CQ=_v uOW `wQW u=tR R= p@k 'R}yHD wO

=@ x=Qty w 5"2 VN@ QO =yw}Q=vU pt=m KQW "CU= xOt; 1 pwOH QO =yu; |xty xm pw] QO C=R}yHD xm |DQwY QO "CU= xOW QmP w}Q=vU Qy `wkw p=tDL= |x@U=Lt

|Q=Oyov CU=}U R= sr=U Cr=L x@ =yv; uOv=OQoR=@ |=Q@ 'OvwW ?=QN O}rwD Ov};Qi w OvwW GQ=N pQDvm R= O}rwD |=yOv};Qi Qo= "OwW |t xO=iDU= |LqY= C=Q}taD w CU=}U R= pQDvm CLD Cr=L x@ Ov};Qi uOv=OQoR=@ |=Q@ 'OwW |}=U=vW Q}}eD u}=

QO Ov};Qi xm |DQwY QO u}vJty "OwW |t xO=iDU= xv=}woW}B C=Q}taD w |Q=Oyov u; |wQ Q@ O}=@ Ov};Qi s=tD= R= TB 'OwWv xH=wt |rmWt I}y =@ OwN C}r=ai pw]

"OwW p=ta= xv=Q}oW}B C=Q}taD w |Q=Oyov CU=}U xv}Ry `@=D "4"2 QO O}rwD pm |=yxv}Ry "CU= xOW O=H}= w}Q=vU 28 |xv}Ry `@=D VN@ u}= QO

2/2|xQ=tW'351|xQwO'1398u=DUtRh}QWC}Q}Otw`}=vY|UOvyt

R= GQ=N Cr=L QO Ov}=Qi xm |v=tR^[2]|xr=kt j@] Q@ CW=O xHwD O}=@ =Q xDmv u}=

"Ovm|t |wQ}B ^gG¹¹11^(x(t)1) p=tDL= |r=oJ `@=D =@ |a}RwD R= 'OQ=O Q=Qk pQDvm

P (S₈) = (

TD

Z 0

f₁(t):h₇(t)dt):F₂(TD+ T )G₀₂(TD+ T );

h₇(t) = Z1

t

g₀₁(x₀)dx₀

TR_D

t g₁₁(x₁)dx₁

G₁₁(t) : (30⁾

P (S₉) = (

TD

Z 0

f₂(t):h₈(t)dt):F₁(TD+ T )G₀₁(TD+ T );

h₈(t) = Z1

t

g₀₂(y₀)dy₀

TRD

t g₁₂(y₁)dy₁

G₁₂(t) : (31⁾

P (S₁₀) = (

T_D

Z 0

f₁(t₁):h₉(t₁)dt₁):(

T_D

Z 0

f₂(t₂):h₁₀(t₂)dt₂);

h₉(t) = Z1 t1

g₀₁(x₀)dx₀

TRD

t1 g₁₁(x₁)dx₁ G₁₁(t₁) :

h₁₀(t) = Z1 t2

g₀₂(y₀)dy₀

TR_D

t2 g₁₂(y₁)dy₁

G₁₂(t₂) : (32⁾

=D 17 '13 =D 11 |=yw}Q=vU QO xm CU= XNWt 1 pwOH =yw}Q=vU pwOH QO u}= pQDvm Q=Owtv =t= 'Ovm|t Q}}eD pQDvm R= GQ=N x@ Ov}=Qi Cr=L 28 =D 26 w 22 OwHw swO `wv |=]N p=tDL= =yw}Q=vU u}= QO u}=Q@=v@ "Ovm|tv |}=U=vW =Q Q}}eD

"OQm x@U=Lt =Q u; O}=@ xm OQ=O

i= (Li ip

n) ( Li ip

n); i =1^;2 ⁽33⁾

"CU= OQ=Ov=DU= p=tQv |atHD `}RwD `@=D^(:)u; QO xm VywSB u}= 'pQDvm Q=Owtv \UwD C}i}m Q}}eD hWm p=tDL= |x@U=Lt |=Q@

|xQwO |wQ 'Ovm RmQtD |Q}oxvwtv |xrY=i |wQ Q@ xmu}= |=Hx@^[2]'|xr=kt Ovv=ty

[ts; te]u=tR pw] QO xvwtv Qy QO C}i}m Q}}eD "CU= RmQtDt u=tR R= |vqw] ,=D@Uv

"CU= hWm p@=k p=tDL= 'Ovmv |}=U=vW |Q}oxvwtv u}t=^sQO =Q C}i}m Q}}eD pQDvm Q=Owtv Qo=

%O};|t CUO x@ Q}R CQwYx@ Q}}eD hWm

Ps= (1 ^{i)is 1: (}34⁾

Q}R CQwYx@ |Q}oxvwtv O=OaD w OwW|t s=Hv= |Q}oxvwtv^m'^{[ts; te]}u=tR pw] QO

%O};|t CUO x@

m =

te ts

h

: (35⁾

=@ |w=Ut =} R= QDlJwm K}LY OOa u}QDnQR@ |xOvyOu=Wv^{b c}x]@=Q u}= QO Q}}eD hWm p=tDL= '|Q}oxvwtv O=OaD x@ xHwD =@ u}=Q@=v@ "CU= ?qk pN=O CQ=@a

P (S₁) = (

T_D

Z 0

g₀₁(x₀):h₁(x₀)dx₀):F₂(TD+ T )G₀₂(TD+ T );

h₁(x₀) = Z1 x0

f₁(t)dt: (22⁾

u=v}t]= C}r@=k Q@^h(x0)'OyO|tv MQ C}i}m Q}}eD =yw}Q=vU u}= QO xmu}= x@ xHwD =@

"OQ=O CrqO Ov}=Qi

P (S₂) = (

T_D

Z 0

g₀₂(y₀):h₂(y₀)dy₀):F₁(TD+ T )G₀₁(TD+ T );

h₂(y₀) = Z1 y0

f₂(t)dt: (23⁾

P (S₃) = (

TD

Z 0

g₀₁(x₀):h₁(x₀)dx₀):(

TD

Z 0

g₀₂(y₀):h₂(y₀)dy₀): (24⁾ 3 =@ u; Cw=iD =t= "OQ}o|tv CQwY Ov}=Qi QO C}i}m Q}}eD 6 =D 4 |=yw}Q=vU QO 'OQ=O OwHw Ov}=Qi Q@ CQ=_v xm |}xQwO QO C=R}yHD xm CU= u}= QO |r@k |w}Q=vU

"^{(TD; T )}|xR=@ pw] QO |va} OvwW|t ?=QN

P (S₄) = (

TZ_D+T TD

g₀₁(x₀):h₄(x₀)dx₀):F₂(TD+ T )G₀₂(TD+ T );

h4(x0) = Z1 x0

f1(t)dt: (25⁾

P (S₅) = (

TZD+T T_D

g₀₂(y₀):h₅(y₀)dy₀):F₁(TD+ T )G₀₁(TD+ T );

h₅(y₀) = Z1 y0

f₂(t)dt: (26⁾

P (S₆) = (

TZD+T TD

g₀₁(x₀):h₄(x₀)dx₀):(

TDZ+T TD

g₀₂(y₀):h₅(y₀)dy₀):

(27⁾ OvwW|tv ?=QN Ov}=Qi u=}=B =D 2 w 1 |xrLQt C=R}yHD R= s=OmI}y 7 |w}Q=vU QO p=tDL= "CU= pQDvm CLD^{TD+ T}u=tR =D R=e; R= Ov}=Qi "OvyO|tv C}i}m Q}}eD w

"CU= 28 |x]@=Q CQwYx@ 7 |w}Q=vU

P (S₇) = (F₁(TD+ T ):G₀₁(TD+ T ))

(F₂(TD+ T ):G₀₂(TD+ T )): (28⁾

%OwW|t x@U=Lt Q}R CQwYx@^Gw^F pOt u}= QO xm

F (TD+ T ) =1 ^{F (TD+ T );}

G(TD+ T ) =1 ^{G(TD+ T ): (}29⁾

Q}}eD pQDvm R= GQ=N Cr=L x@ Ov}=Qi Cr=L '^TDu=tR R= p@k 10 =D 8 |=yw}Q=vU QO

"OvwW|t ?=QN u}W=t wO Qy =} wO 'l} u}W=t^{(t; TD)}u=tR pw] QO w Ovm|t

"""CU=}Uw|Q=t;Ov}=QipQDvm|xJQ=Bm}pOt h_{13 1}(t) = G₀₁(t)

T_DR+T

T_D g₁₁(x₁)P₀₁(TD; x₁)dx₁

G₁₁(t) ;

h_{13 2}(t) = G₀₁(t) R1

T_D+Tg₁₁(x₁)P₀₁(TD; TD+T)dx₁

G₁₁(t) : (41⁾

P (S₁₅) = P (S_{15 1}) + P (S_{15 2}) = (

T_D

Z 0

f₂(t):h_{14 1}(t)dt):F₁(TD+ T )G₀₁(TD+ T )+

(

TD

Z 0

f₂(t):h_{14 2}(t)dt):F₁(TD+ T )G₀₁(TD+ T );

h_{14 1}(t) = G₀₂(t)

TDR+T TD

g₁₂(y₁)P₀₂(TD; y₁)dy₁

G₁₂(t) ;

h14 2(t) = G02(t) R1

TD+Tg₁₂(y₁)P₀₂(TD; TD+ T )dy₁ G₁₂(t) : (42⁾

P (S₁₆) = (

T_D

Z 0

f₁(t₁):h_{13 1}(t₁)dt +

T_D

Z 0

f₁(t₁):h_{13 2}(t₁)dt)

(

T_D

Z 0

f₂(t₂):h_{14 1}(t₂)dt +

T_D

Z 0

f₂(t₂):h_{14 2}(t₂)dt): (43⁾ Oa@ "OyO|t MQ^TDu=tR R= p@k =yOv}=Qi C}i}m Q}}eD 19 =D 17 |=yw}Q=vU QO xm Ovm|tv O}rwD |Q=OWy xvwoI}y pQDvm Q=Owtv 'Ov}=Qi Q@ CQ=_v |xQwO `wQW R=

|R}Qxt=vQ@ u=tR x@ |@=QN I}y uwO@ C=R}yHD =t= "CU= swO `wv |=]N Qou=}=tv x@ C=R}yHD 'QwmPt C=}rta s=Hv= =@ "OvUQ|t xv=Q}oV}B C=Q}taD w |Q=Oyov xOW

"OvOQo|tR=@ ?wN Cr=L

P (S₁₇) = (

T_D

Z 0

f₁(t):h₁₅(t)dt):F₂(TD+ T )G₀₂(TD+ T );

h₁₅(t) = G₀₁(t)

1R

T_D+Tg₁₁(x₁)P₀₁(TD; TD+ T )dx₁

G₁₁(t) : (44⁾

P (S₁₈) = (

TD

Z 0

f₂(t):h₁₆(t)dt):F₁(TD+ T )G₀₁(TD+ T );

h₁₆(t) = G₀₂(t)

1R

T_D+Tg₁₂(y₁)P₀₂(TD; TD+ T )dy₁

G₁₂(t) : (45⁾

P (S₁₉) = (

TD

Z 0

f₁(t₁):h₁₅(t₁)dt₁):(

TD

Z 0

f₂(t₂):h₁₆(t₂)dt₂): (46⁾ xm Cw=iD u}= =@ "CU= 19 =D 17 |=yw}Q=vU x}@W C=@U=Lt Oa@ x@ 20 |w}Q=vU R=

'^{(TD; TD+ T )}CQ=_v |xQwO QO w^TDu=tR R= Oa@ 'C=R}yHD QO C}i}m Q}}eD

"OyO|t MQ

|xR=@ pw] QO |va} CQ=_v |xQwO pw] QO =yOv}=Qi 22 =D 20 |=yw}Q=vU QO

%OwW|t x@U=Lt Q}R CQwYx@ R}v Q=Owtv \UwD C}i}m

P₀i(ts; te) = Xm

s=1Ps=1 ^{im: (}36⁾

"CU=ⁱQ@=Q@ sy Q=Owtv |wU R= C}i}m Q}}eD uOQmv hWm p=tDL= w CQwYx@ CU= pQDvm R= GQ=N Ov}=Qi xm |v=tR xr=@vO pw] u}ov=}t u}= Q@xwqa

%CU= Q}R

ARL₁i= 1

1 ^{i: (}37⁾

CLD R= u=WDr=L⁽0^{; TD)}u=tR pw] QO =yOv}=Qi R}v 13 =D 11 |=yw}Q=vU QO 'OQ=O OwHw CQ=_v xm |}xQwO QO C=R}yHD =t= "Ovm|t Q}}eD pQDvm R= GQ=N x@ pQDvm Q=Owtv =Q}R "OQ=O OwHw swO `wv |=]N =yw}Q=vU u}= QO u}=Q@=v@ "OvwW|t ?=QN Q=m u}= xm 'O=O|t Q=OWy w OQm|t |}=U=vW =Q =yOv}=Qi Cr=L Q}}eD O}=@ pQDvm

"CiQov CQwY

P (S₁₁) = (

TD

Z 0

f₁(t):h₁₁(t)dt):F₂(TD+ T )G₀₂(TD+ T );

h₁₁(t) = G₀₁(t)

TDR+T

T_D g₁₁(x₁)P₀₁(TD; x₁)dx₁

G₁₁(t) : (38⁾

P (S₁₂) = (

TD

Z 0

f₂(t):h₁₂(t)dt):F₁(TD+ T )G₀₁(TD+ T );

h₁₂(t) = G₀₂(t)

TDR+T TD

g₁₂(y₁)P₀₂(TD; y₁)dy₁

G₁₂(t) : (39⁾

P (S₁₃) = (

TD

Z 0

f₁(t₁):h₁₁(t₁)dt₁):(

TD

Z 0

f₂(t₂):h₁₂(t₂)dt₂); (40⁾ Oa@ w OyO|t MQ^TD u=tR R= p@k Ov}=Qi C}i}m Q}}eD 16 =D 14 |=yw}Q=vU QO Cr=L wO =yw}Q=vU u}= QO "OwW|t |}=U=vW QwmPt Q}}eD 'CQ=_v |xQwO `wQW R=

%OyO MQ CU= umtt TBU w OyO MQ^TDu=tR R= p@k^tu=tR QO Q=@ u}rw= Ov}=Qi C}i}m Q}}eD hr=

u=tR pw] QO 'OvwW ?=QN^{(t; TD+ T )}u=tR pw] QO C=R}yHD xmu; R= p@k

"OvwW |}=U=vW^{(TD; TD+ T )} u=}=B R= p@k w OyO MQ^TDu=tR R= p@k^tu=tR QO Q=@ u}rw= Ov}=Qi C}i}m Q}}eD ? C=R}yHD CU= Q=Qk w OwW|t |}=U=vW^{(TD; TD+ T )}u=tR pw] QO xNQJ

=yw}Q=vU `wkw p=tDL= u}=Q@=v@ "OvwW ?=QN C}=yv|@ =D^{TD+ T}u=tR pw] QO

%OwW|t x@U=Lt Q}R CQwYx@

P (S₁₄) = P (S_{14 1}) + P (S_{14 2}) = (

TD

Z 0

f₁(t):h_{13 1}(t)dt):F₂(TD+ T )G₀₂(TD+ T )+

(

T_D

Z 0

f₁(t):h_{13 2}(t)dt):F₂(TD+ T )G₀₂(TD+ T );

2/2|xQ=tW'351|xQwO'1398u=DUtRh}QWC}Q}Otw`}=vY|UOvyt

h_{20 1}(t) = G₀₂(t)

TDR+T

t g₁₂(y₁)P₀₂(t; y₁)dy₁ G₁₂(t) ;

h_{20 2}(t) = G₀₂(t) R1

TD+Tg₁₂(y₁)P₀₂(t; TD+ T )dy₁

G₁₂(t) : (51⁾

P (S₂₅) = (

TDZ+T T_D

f₁(t₁):h_{19 1}(t₁)dt +

TDZ+T T_D

f₁(t₁):h_{19 2}(t₁)dt)

(

T_DZ+T T_D

f₂(t₂):h_{20 1}(t₂)dt +

T_DZ+T T_D

f₂(t₂):h_{20 2}(t₂)dt): (52⁾ uDW=O OwHw |xQwO pw] QO =yOv}=Qi C}i}m Q}}eD R}v 28 =D 26 |=yw}Q=vU QO u=tR uO}UQ =@ w O};|tv OwHw x@ C=R}yHD |=Q@ |@=QN I}y =t= "OyO|t MQ CQ=_v Cr=L x@ C=R}yHD 'u; s=Hv= w xv=Q}oV}B C=Q}taD w |Q=Oyov |xOW |R}Qxt=vQ@

"OvOQo|tR=@ pQDvm CLD

P (S₂₆) = (

TZD+T TD

f₁(t):h₂₁(t)dt):F₂(TD+ T )G₀₂(TD+ T );

h₂₁(t) = G₀₁(t) R1

T_D+Tg₁₁(x₁)P₀₁(t; TD+ T )dx₁

G₁₁(t) : (53⁾

P (S₂₇) = (

TZD+T TD

f₂(t):h₁₈(t)dt):F₁(TD+ T )G₀₁(TD+ T );

h₂₂(t) = G₀₂(t) R1

T_D+Tg₁₂(y₁)P₀₂(t; TD+ T )dy₁

G₁₂(t) : (54⁾

P (S28) = (

TZD+T TD

f1(t1):h21(t1)dt1):(

TDZ+T TD

f2(t2):h22(t2)dt2):

(55⁾ xNQJ Qy Q=_Dv= OQwt u=tR |x@U=Lt "6"2

%CU= CtUk xU pt=W xNQJ Qy Q=_Dv= OQwt u=tR 'pQDvm R= GQ=N Cr=L QO O}rwD u=tR w^TI 'pQDvm CLD Cr=L QO O}rwD u=tR "1

w}Q=vU Qy |=Q@^TO pQDvm Q=Owtv Q=OWy CLY X}NWD |=Q@ |UQR=@ pm u=tR "2 xv=Q}oW}B w^(TR)xv=}woV}B '^(TC)|LqY= C=Q}taD w |Q=Oyov s=Hv= u=tR "3

(TP)

%OwW|t x@U=Lt Q}R |x]@=Q R= w}Q=vU Qy Q=_Dv= OQwt u=tR u}=Q@=v@

E(T jSi) = TIi+ TOi+ TY( ThARL^Mi₀₁+ v₁+ ThARL^Mi₀₂+ v₂)+

(!TC+ TR+ TP) ; i =1^;2^{; :::;}28 ⁽56⁾

u}= pQDvm Q=Owtv =t= "Ovm|t Q}}eD pQDvm R= GQ=N x@ u=WDr=L '^{(TD; TD+ T )} w |Q=Oyov "OvwW|t ?=QN xQwO u}ty QO C=R}yHD w Ovm|tv |}=U=vW =Q Q}}eD

"OwW|t s=Hv= R}v |LqY= C=Q}taD

P (S₂₀) = (

TZ_D+T TD

f₁(t):h₁₇(t)dt):F₂(TD+ T )G₀₂(TD+ T );

h₁₇(t) = G₀₁(t)

T_DR+T

t g₁₁(x₁)P₀₁(t; x₁)dx₁

G₁₁(t) : (47⁾

P (S₂₁) = (

TZ_D+T TD

f₂(t):h₁₈(t)dt):F₁(TD+ T )G₀₁(TD+ T );

h₁₈(t) = G₀₂(t)

T_DR+T

t g₁₂(y₁)P₀₂(t; y₁)dy₁

G₁₂(t) : (48⁾

P (S₂₂) = (

TZ_D+T TD

f₁(t₁):h₁₇(t₁)dt₁):(

T_DZ+T TD

f₂(t₂):h₁₈(t₂)dt₂):

(49⁾ R=TB w OyO|t MQ^TDu=tR R= Oa@ Ov}=Qi C}i}m Q}}eD 25 =D 23 |=yw}Q=vU QO

"OQ}o|t CQwY xv=}woV}B C=Q}taD w |Q=Oyov w OwW|t |}=U=vW QwmPt Q}}eD 'u;

%OyO MQ CU= umtt Cr=L wO =yw}Q=vU u}= QO TBU w OyO MQ^TD u=tR R= Oa@^tu=tR QO Q=@ u}rw= Ov}=Qi C}i}m Q}}eD hr=

pw] QO |@=QN 'OvwW ?=QN^{(t; TD+ T )}u=tR pw] QO C=R}yHD xmu; R= p@k

"OwW |}=U=vW u=tR u=ty u=}=B R= p@k w OyO MQ^TDu=tR R= Oa@^tu=tR QO Q=@ u}rw= Ov}=Qi C}i}m Q}}eD ? C=R}yHD OwW|t ZQi w OwW |}=U=vW^{(t; TD+ T )}u=tR pw] QO xNQJ

"OvwW ?=QN C}=yv|@ =D^{TD+ T} u=tR pw] QO

P (S₂₃) =

P (S_{23 1}) + P (S_{23 2}) = (F₂(TD+ T )G₀₂(TD+ T ))

(

T_DZ+T TD

f₁(t):h_{19 1}(t)dt +

T_DZ+T TD

f₁(t):h_{19 2}(t)dt);

h_{19 1}(t) = G₀₁(t)

TDR+T

t g₁₁(x₁)P₀₁(t; x₁)dx₁ G₁₁(t) ;

h_{19 2}(t) = G₀₁(t)

1R

TD+T

g₁₁(x₁)P₀₁(t; TD+ T )dx₁

G₁₁(t) : (50⁾

P (S₂₄) =

P (S_{24 1}) + P (S_{24 2}) = (F₁(TD+ T )G₀₁(TD+ T )) (

TDZ+T TD

f₂(t):h_{20 1}(t)dt +

TDZ+T TD

f₂(t):h_{20 2}(t)dt);