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Non-Uniqueness of the Minimal Realization Problem Representation of the Markovian Arrival Process of Order 2 and Moment Fitting
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dc.contributor.author김선교-
dc.date.issued2021-08-
dc.identifier.issn1225-1119-
dc.identifier.urihttps://aurora.ajou.ac.kr/handle/2018.oak/35458-
dc.description.abstractMarkovian arrival processes (MAPs) can be represented in many different ways such as the Markovian representation, Laplace transform, Jordan representation, and minimal realization problem (MRP) representation, to name a few. The MRP representation is given in two real-valued matrices (K’, R’) and can be used to determine the Markovian representation (D0, D1) by similarity transformation. The MRP representation has been claimed to be unique but redundant. In this paper, we show that the MRP representation is not unique and then provide a non-redundant MRP representation of MAP(2)s. We also present closed-form formulas for the transformation from the MRP representation to the Markovian representation (D0, D1) for MAP(2)s.-
dc.language.isoEng-
dc.publisher한국경영과학회-
dc.titleNon-Uniqueness of the Minimal Realization Problem Representation of the Markovian Arrival Process of Order 2 and Moment Fitting-
dc.title.alternative2계 마코프 도착과정의 최소 실현 문제 표현방법의 비 유일성에 관한 연구-
dc.typeArticle-
dc.citation.endPage8-
dc.citation.number3-
dc.citation.startPage1-
dc.citation.title한국경영과학회지-
dc.citation.volume46-
dc.identifier.bibliographicCitation한국경영과학회지, Vol.46 No.3, pp.1-8-
dc.subject.keywordMarkovian Arrival Processes-
dc.subject.keywordMinimal Realization Problem-
dc.subject.keywordMinimal Representation-
dc.subject.keywordUniqueness of the Representation-
dc.type.otherArticle-
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