@article{ref1,
title="Stochastic disaster recovery systems with external resources",
journal="Mathematical and computer modelling",
year="2002",
author="Kim, Song-Kyoo and Dshalalow, J.H",
volume="36",
number="11-13",
pages="1235-1257",
abstract="This paper deals with a complex reliability system of main unreliable, spare, and auxiliary spare machines, subject to random breakdowns, repairs, and two replacement policies: one for busy, and another for idle or vacation periods. During vacation periods, when the system performs a mandatory routine maintenance, auxiliary machines are being used for back-ups; the information on the system is naturally delayed. We utilize an analog of the N-policy to restrict the usage of auxiliary machines to some reasonable quantity. Analytically, tractable results are obtained by using a duality principle (which enables us to treat a more rudimentary system), semiregenerative analysis, and the theory of fluctuations of multivariate marked renewal processes. The results are demonstrated in the framework of optimization problems.<p />",
language="",
issn="0895-7177",
doi="10.1016/S0895-7177(02)00272-8",
url="http://dx.doi.org/10.1016/S0895-7177(02)00272-8"
}