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

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)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1970
Accession Number
AD0707041

Entities

People

  • Alan J. Rolfe

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Cannibalization
  • Markov Chains
  • Personal Information Managers

Readers

  • Linear Algebra
  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.