Effects of inspection error on optimal inspection policies and software fault detection models
نویسنده
چکیده
Inspection policies are essential for many types of systems for which the status (functioning or failed) can be determined only by actual inspection. Two types of inspection error may occur. A functioning system may be incorrectly assessed as having failed or a failed system may be incorrectly assessed as functioning. These errors are designated as Types I and II respectively, and their impact on optimal inspection policies and software fault detection models is analyzed. For a periodic inspection model with Type I error, an optimal replacement age is obtained, then monotonicity and asymptotic properties of the long-run expected cost per unit of time are presented. Type I error is incorporated into a cumulative damage model. When the failure density is reverse rule of order 2, an algorithm to compute an optimal inspection sequence is derived, and it is proven that optimal intervals are increasing. Extending the optimal inspection sequence model of Barlow, Hunter, and Proschan to include Type II inspection error, it is proven that optimal intervals are nonincreasing for a PF 2 density, and an algorithm to compute optimal intervals is derived. Additionally, monotonicity and majorization results are
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