STABILITY OF A 2-STATION-5-CLASS RE-ENTRANT LINE WITH INFINITE SUPPLY OF WORK

Yongjiang Guo (), Jiankui Yang and Xuewu Wang
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Yongjiang Guo: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China
Jiankui Yang: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China
Xuewu Wang: Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2008, vol. 25, issue 04, 477-493

Abstract: This paper considers a 2-station-5-class re-entrant line with infinite supply of work. We obtain the necessary and sufficient condition for its corresponding fluid model to be stable. As an application of the result, the positive Harris recurrence of the 2-station-5-class re-entrant line is established via the fluid model.

Keywords: Re-entrant lines; infinite supply; positive Harris recurrence; stability; piecewise linear Lyapunov function; fluid model; Primary 60K25; Primary 90B15; Secondary 68M20 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0217595908001821

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