Optimal scheduling of fallible inspections

Giovanni Parmigiani

Research output: Contribution to journalArticlepeer-review


This paper gives the exact optimal solution to the problem of designing inspection schedules with fallible and time-consuming test procedures. The optimality criterion is designed to achieve a balance between the cost of inspections and the cost of undetected failure. The solution is derived in continuous time, with arbitrary failure distribution, and is based on infinite-horizon dynamic programming with time-dependent utilities, and with an additional optimization with respect to initial conditions. Results include uniqueness and monotonicity properties of the optimal solution, as well as computational algorithms.

Original languageEnglish (US)
Pages (from-to)360-367
Number of pages8
JournalOperations Research
Issue number2
StatePublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Management Science and Operations Research


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