A lower bound on the expected optimal value of certain random linear programs and application to shortest paths in Directed Acyclic Graphs and reliability

Stéphane Chrétien and Franck Corset

Statistics & Probability Letters, 2016, vol. 117, issue C, 221-230

Abstract: The paper studies the expectation of the inspection time in complex aging systems, i.e. the length of the shortest path in a Directed Acyclic Graph, with random costs on edges. We give a lower bound for this expectation.

Keywords: Random networks; Random linear programming; Reliability; Maintenance; Dyer–Frieze–McDiarmid’s inequality; Shortest path (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1016/j.spl.2016.06.001

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