OPTIMAL REPLACEMENT POLICIES FOR A 2-UNIT SYSTEM WITH FAILURE INTERACTIONS

Authors
NAKAGAWA T MURTHY DNP
Citation
T. Nakagawa et Dnp. Murthy, OPTIMAL REPLACEMENT POLICIES FOR A 2-UNIT SYSTEM WITH FAILURE INTERACTIONS, RAIRO. Recherche operationnelle, 27(4), 1993, pp. 427-438
Citations number
9
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science
Journal title
RAIRO. Recherche operationnelle → ACNP
ISSN journal
03990559
Volume
27
Issue
4
Year of publication
1993
Pages
427 - 438
Database
ISI
SICI code
0399-0559(1993)27:4<427:ORPFA2>2.0.ZU;2-G
Abstract
This paper considers a two-unit system with the following two failure interactions: When unit I fails, (i) unit 2 fails with probability alp ha(j) and (ii) unit I causes damage with distribution G(z) to unit 2. Expected cost rates of two models are derived when the system is repla ced at failure of unit 2 or at N-th failure of unit 1. Optimal replace ment numbers N to minimize expected costs are discussed. Finally, an extended model of model 2 is introduced.