Open AccessNew approximate solutions per unit of time for periodicallychecked systems with different lifetime distributions
Author(s) -
J. Rodrigues Días
Publication year - 2006
Publication title -
journal of applied mathematics and decision sciences
Language(s) - English
Resource type - Journals
eISSN - 1532-7612
pISSN - 1173-9126
DOI - 10.1155/jamds/2006/34506
Subject(s) - bathtub , range (aeronautics) , hazard , basis (linear algebra) , constant (computer programming) , simple (philosophy) , computer science , duration (music) , mathematics , unit (ring theory) , statistics , physics , engineering , geometry , materials science , organic chemistry , chemistry , mathematics education , programming language , acoustics , philosophy , epistemology , aerospace engineering , composite material
Systems with different lifetime distributions, associated with increasing, decreasing, constant, and bathtub-shaped hazard rates, are examined in this paper. It is assumed that a failure is only detected if systems are inspected. New approximate solutions for the inspection period and for the expected duration of hidden faults are presented, on the basis of the assumption that only periodic and perfect inspections are carried out. By minimizing total expected cost per unit of time, on the basis of numerical results and a range of comparisons, the conclusion is drawn that these new approximate solutions are extremely useful and simple to put into practice
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