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DC Field | Value | Language |
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dc.contributor.author | 김선교 | - |
dc.date.issued | 2020-02 | - |
dc.identifier.issn | 1225-1119 | - |
dc.identifier.uri | https://aurora.ajou.ac.kr/handle/2018.oak/35153 | - |
dc.description.abstract | The Markovian arrival process can be represented in different ways. The most intuitive way is the Markovian representation with two transition rate matrices (D0, D1). Markovian arrival processes can be represented by the Laplace transform or the moments of the stationary intervals. <br>In this study, we consider the Jordan representation specifically for the Markovian arrival process of order 2. The Jordan representation is also given in two matrices (E, R). However, the Jordan representation is minimal, whereas the Markovian representation is not. <br>We present closed-form Jordan representations for the Markovian arrival process of order 2 in terms of moments and parameters of other representations. The transformation between the Jordan and other representations including the Markovian representation, the Laplace transform, and characteristic polynomial coefficients is also presented. | - |
dc.language.iso | Eng | - |
dc.publisher | 한국경영과학회 | - |
dc.title | Jordan Representation of the Markovian Arrival Process of Order 2 and Moments Fitting | - |
dc.title.alternative | 2계 마코프 도착과정의 조단 표현방법과 적률근사 | - |
dc.type | Article | - |
dc.citation.endPage | 10 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1 | - |
dc.citation.title | 한국경영과학회지 | - |
dc.citation.volume | 45 | - |
dc.identifier.bibliographicCitation | 한국경영과학회지, Vol.45 No.1, pp.1-10 | - |
dc.subject.keyword | Markovian Arrival Processes | - |
dc.subject.keyword | Jordan Decomposition | - |
dc.subject.keyword | Minimal Representation | - |
dc.subject.keyword | Laplace Transform | - |
dc.subject.keyword | Characteristic Polynomial Function | - |
dc.subject.keyword | Moments Fitting | - |
dc.type.other | Article | - |
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