Accession Number : AD0707041

Title :   MARKOV CHAIN ANALYSIS OF A SITUATION WHERE CANNIBALIZATION IS THE ONLY REPAIR ACTIVITY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Rolfe,Alan J.

Report Date : MAY 1970

Pagination or Media Count : 19

Abstract : The paper considers a group of S identical aircraft, each of which is partitioned into K parts which fail exponentially. The only way in which a failed aircraft can be repaired is by cannibalizing its out-of-commission parts from other failed aircraft. The evolution of the number of good aircraft over time is governed by the transient behavior of an absorbing Markov chain. One can therefore study this behavior by matrix multiplication although the computational problem grows large when K equals or exceeds 3. Some numerical results and some approximations are also provided. (Author)

Descriptors :   (*AIRCRAFT, MAINTENANCE), (*STOCHASTIC PROCESSES, MATHEMATICAL MODELS), PROBABILITY, MATRICES(MATHEMATICS), SPARE PARTS, FAILURE(MECHANICS), NUMERICAL METHODS AND PROCEDURES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE