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Reliability Analysis and Optimal Mixture Strategy for a Lot Composed of New and Reconditioned Systems

Volume 10, Number 6, September 2014, Paper 2 pp 557-566


1 Department of Industrial engineering, Dalhousie University
  5269 Morris Street, Halifax, NS B3J-2X4 CANADA

2 Department of Mechanical Engineering, Laval University
  Quebec, QC G1K-7P4 CANADA

(Received on January 30, 2014, revised on April 24, 2014 and May 15, 2014)


In this paper, we introduce and study the shape and the behavior of the failure rate of a mixture of two populations of components with the same distribution but different ages. This type of mixture is encountered in industrial settings when new and reconditioned systems are mixed together in remanufacturing or for maintenance operations. The conditions under which such a mixture of increasing failure rate components can result in a population with modified bathtub-shaped failure rate are derived. A cost-optimal mixture strategy is developed to illustrate a successful use of new and reconditioned parts in maintenance.


References: 13

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