haku: @indexterm Sensitivity analysis / yhteensä: 105
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Tekijä:Fakinos, D.
Otsikko:Insensitivity of generalized semi-Markov processes evolving in a random environment
Lehti:Journal of the Operational Research Society
1991 : DEC, VOL. 42:12, p.1111--1115
Asiasana:SENSITIVITY ANALYSIS
STOCHASTIC PROCESSES
MARKOV CHAINS
PROBABILITY
EQUATIONS
OPERATIONAL RESEARCH
Kieli:eng
Tiivistelmä:The theory of insensitivity within generalized semi-Markov processes is extended to cover the case where such a process evolves in a random environment; that is, when decay rates and transition probabilities are functions of the state of an extraneous environmental process. The main result of the paper is a necessary and sufficient condition in terms of partial balance equations, for (X,Z) to be insensitive. As an application of the theorem developed in the article the M(G)k loss system with heterogeneous servers is examined, whose equilibrium behaviour in a random environment was studied formerly.
SCIMA tietueen numero: 109735
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