A Nearly Optimal Inspection Policy

Nearly optimal power saving policies for mobile stations in wireless networks

“…However, Barlow et al's algorithm is very complicate to execute and its assumption is too strict; therefore, many nearly optimal ones were developed. M&S [19] and K&O [20] are the most popular ones. Kaio and Osaki [18] compared M&S, K&O and the optimal policy of Barlow et al [17] for a Weibull distribution with shape parameter 2 and a Gamma distribution.…”

“…If the idle durations of the MS under consideration have the generalized Pareto distribution (19), then its failure rate…”

“…Many algorithms have been proposed (see e.g. [18] and the references therein) in the literature, among which Barlow et al [17], M&S [19] and K&O [20] are most intensively studied and widely applied. However, they have not been applied in wireless communication systems.…”

Approximate methods for optimal replacement, maintenance, and inspection policies

“…One example is the sequential inspection policy [2], whose algorithm needs to make computations repeatedly until the procedure meets the required condition by adjusting the first checking time. To avoid this trouble, a nearly optimal inspection policy that depends on the parameter p was suggested [7]. However, to suppose the unit fails with constant probability p is too stronger to be applicable, even though this policy has been used for Weibull and gamma distribution cases [8,17].…”

Economic optimization of off-line inspection with rework consideration

“…On-line process control is widely accepted as an effective and economic quality assurance policy. Literature is rich with mathematical models of optimal on-line inspection (see, for example, Barlow and Proschan, 1967;Luss and Kander, 1974;Kander, 1978;Zacks and Fenske, 1973;Munford and Shahani, 1972;Nakagawa, 1984). However, in certain situations, it may not be feasible to sample the process and, if required, take corrective action in an on-line mode.…”