Optimal Scheduling of Inspections: A Delayed Markov Model with False Positives and Negatives

• Published in: Operations research Vol. 39; no. 2; pp. 261 - 273
• Main Authors: Ozekici, Suleyman, Pliska, Stanley R
• Format: Journal Article
• Language: English
• Published: Linthicum, MD INFORMS 01.03.1991; Operations Research Society of America; Institute for Operations Research and the Management Sciences
• Subjects: Age distribution; Applications; applications: optimal inspection schedule model; Applied sciences; Approximation; Boundary conditions; Breast cancer; diagnosis: stochastic model for optimal medical screening; Dynamic programming; dynamic programming/optimal control: semi-Markov inspection scheduling model; Exact sciences and technology; False positive errors; Health care; Markov analysis; Markov chains; Markov processes; Mathematical models; Medical screening; Operational research and scientific management; Operational research. Management science; Optimization; Patient assessment; probability; Reliability theory. Replacement problems; Scheduling; stochastic model; Stochastic models; Studies; Semimarkovian process; Inspection; Hospital environment; Scheduling; Maintenance; Dynamic programming; Optimization

A system subject to catastrophic failure deteriorates according to a delayed Markov process and is subjected to a series of binary tests that may yield false negative and false positive outcomes. A corrective action is carried out when a true positive is observed, thereby reducing the chance of syst...