Economic Control Chart Models with Cycle Duration Constraints

18S

t

₊ l(l-p)e-^Xhl^N(° J e^lx

hN(t)

Nowleta2 = (l-p)e ^ and let

g(x;t) = J e^Xx

and we have

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

{

r-1

2

i=0

dx

N(t)—1

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

j=0

- g(hN(t);t)]

= ai

N(t) ¹ 2

g(hN(t);t)]

}