Table 1 Circumstances in which a test administered under Type-II UPHCS will be concluded.
Cases | UHCS | Ending time | Failed units \(c^{*}\) | \(\Re _{i}\) |
|---|---|---|---|---|
I | \(Z_{1,m,n}<...< Z_{k,m,n}<...< Z_{m,m,n}<...< Z_{c_{1},n}\) | \(\tau ^{*} = \tau _{1}\) | \(c_{1}\) | \(R_{1},..., R_{k},..., R_{m-1},0,...,0,R_{t_{1}}\) |
II | \(Z_{1,m,n}<...< Z_{k,m,n}<...< Z_{c_{1},m,n}<...< Z_{m,m,n}\) | \(\tau ^{*} = Z_{m,m,n}\) | m | \(R_{1},..., R_{k},..., R_{c_{1}},...,R_{m}\) |
III | \(Z_{1,m,n}<...< Z_{k,m,n}<...< Z_{c_{1},m,n}<...< Z_{c_{2},m,n}\) | \(\tau ^{*} = \tau _{2}\) | \(c_{2}\) | \(R_{1},..., R_{k},..., R_{c_{1}},...,R_{t_{2}}\) |
IV | \(Z_{1,m,n}<...< Z_{c_{1},m,n}<...< Z_{c_{2},m,n}<...<Z_{k,m,n}\) | \(\tau ^{*} = Z_{k,m,n}\) | k | \(R_{1},..., R_{c_{1}},..., R_{c_{2}},...,R_{k^{*}}\) |
V | \(Z_{1,m,n}<...< Z_{c_{1},m,n}<...< Z_{k,m,n}<...< Z_{m,m,n}\) | \(\tau ^{*} = Z_{m,m,n}\) | m | \(R_{1},..., R_{c_{1}},...,R_{k},..., R_{m}\) |
VI | \(Z_{1,m,n}<...< Z_{c_{1},m,n}<...< Z_{k,m,n}<...< Z_{c_{2},m,n}\) | \(\tau ^{*} = \tau _{2}\) | \(c_{2}\) | \(R_{1},..., R_{c_{1}},...,R_{k},..., R_{t_{2}}\) |
