Downloaded from https://www.everyspec.com o- -Oi4 AMCP MIN. The decision boundaries for the I-sample which relates r*, a, (3 7, If r* and 2 of the test am shown in Fig. 34(A). When the others are specified, the third cart be deter- path of the test touches or crosses a bound- mined exactly. Since r* must be an integer, ary (r ; r*, or T - T*) the appropriate it is not possible to specify c 4, y and deter- decision is made. The OC for the plan does mine r* oxantly. The approximate value of not depend on the number of test stations r* can be determined, then the other 3 ad. nor on the replacement policy. justed to give "reasonable" vaiues. See Example No, 26.
,.*- I PA) * IM'm /rI To find the s-expected clock-time of the (3-20) test, it is convenient to calculate R (r). see Poif (.* - 4A) Fig. 3-4(A), If the test path hits the line A, the probability of a particular r is just the -cqfc(21p 2r*) Poisson formula with 1 a XT*, and 0 4 r r*. If the test path hits line R, it Is the usual Poisson formula where is equivalent to hitting the upward extension of A for r* 4 r; the number of failures is P. " probability of an "atopt" decision r*, but the probability is the Poisson formula Sfor r, with A " 7'*.
Therefore the average ot r* number of failures for rejection r is T p m XT*, mean number of failures for failure rate X in time T* JT X, TV,v'} O X a failure rate + v T* n total-test-time for acceptance + r csqf'c (X"-; P) - complement of the X( Cdf with P degrees of -(3-24) freedom '.0 4 Tebt plans are available in Table 3-8, Ref. 9, + r* - )2 "r1 Ref. 17, and elsewhere. Eq, 3-20 is the basis for the plans. By definition ot a and 0, Eqs. 3-41a and 3-21b are true. A csqfc(2pA 2r* - 2) a - caqf(2AOT*; 2r*) (3-21a) + r* csqf(2p 2r*) 1 - ( csqf(2 IT*; %4) (3-21 b) This formula is also derived In Ref. 11. It is Define Xk, such that straightforward to show that */ P - csqf(xOL v) .
(3-22) XB {T; X, TV, r*} - E{fr X, T*, r*} (3-25) Then Eq, 3-2! bec:omes and that (for replacement) "LA .. y (3-23) aE{olook-timo;A, T*,r} "^",r* E{T; h, T*, r*J (3-26) Al .*,