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- W2023563854 abstract "Abstract In this paper a method is proposed to compute bounds on the performance of systems that can be described by quasi-lumpable Markov chains (MC). The aim of the work is to cope with the state-space explosion problem using a state aggregation approach. Informally, a quasi-lumpable MC is one which can be made lumpable by relatively small perturbation to the transition rates. The technique for the computation of bounds is based on the Courtois and Semal's method presented in [IEEE J. on Selected Areas in Commun.SAC-4(6) (Sept. 1986) 926–937 and J. of the ACM31(4) (Oct. 1984) 804–825], and in particular it can be regarded as a special application of the bounded aggregation method. A technique to improve the bounds is discussed which can be applied whenever bounded aggregation is used. Two examples are included, and the potential computational advantages of the method are discussed." @default.
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- W2023563854 date "1994-05-01" @default.
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- W2023563854 title "Bounds for quasi-lumpable Markov chains" @default.
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- W2023563854 doi "https://doi.org/10.1016/0166-5316(94)90015-9" @default.
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