00184 )dd3baad8dca135907c66db116b77f2

00184 )dd3baad8dca135907c66db116b77f2



Economic Control Chart Models with Cycle Duration Constraints


18S


t


+ l(l-p)e-XhlN(° J elx

hN(t)


Nowleta2 = (l-p)e ^ and let


g(x;t) = J eXx

and we have


i_,-e(t-x)y PMf i=0 i!


{


r-1

2

i=0


dx


N(t)—1

pTnntW = al ^    2    4 [g(*»0+l);t)-g(hj;t)] + a^(t) [g(t;t)


j=0

- g(hN(t);t)]


= ai

r N(t>-i

N(t)-1

.2 4

g(h(j+l);t) -

2 Ą g(hj;t) +

l J=o

j=0

g(hN(t);t)]

\

rN(,) •,

N(t)—1

[ 5 *

g(hj;t) - 2 j=0

4 g(hj;t) + a^(t)

N(t) 1 2


g(hN(t);t)]


}



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