| Semigroup Method for a Mathematical Model in Reliability Analysis |
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| 作者姓名： | Geni Gupur LI Xue-zhi . |
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| 作者单位： | Geni Gupur 1，3，LI Xue-zhi 2，3 1.Department of Mathematics，Xinjiang University，Urumqi 830046，China2. Department of Mathematics，Xinyang Teachers College，Henan 464000，China3. Academy of Mathematics and System Sciences，Chinese Academy of Sci |
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| 基金项目： | Natural Science Foundation of Henan Province( 994 0 51 2 0 0 ) |
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| 摘 要： | 1 IntroductionAn important class of systems is one where objects move squentially from one station toanother,and where they rest between stations in buffers.A transferline with a reliablemachine,an unreliable machine and a storage buffer is a typical example of such systems.This transfer line consists of two machines that separated by a storage buffer. In thistransfer line,it is assumed that workpieces( or parts) enter machine 1 from outside. Eachworkpiece isoperated firstupon in machine 1 …
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Semigroup Method for a Mathematical Model in Reliability Analysis |
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| Geni Gupur ,,LI Xue-zhi , ..Semigroup Method for a Mathematical Model in Reliability Analysis[J].Journal of Systems Science and Systems Engineering,2001,10(2). |
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| Authors: | Geni Gupur LI Xue-zhi |
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| Institution: | 1. Department of Mathematics, Xinjiang University, Urumqi 830046 ,China;Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
2. Department of Mathematics, Xinyang Teachers College, Henan 464000, China;Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The system which consists of a reliable machine, an unreliable machine and a storage buffer with infinite many workpieces has been studied. The existence of a unique positive time-dependent solution of the model corresponding to the system has been obtained by using C 0-semigroup theory of linear operators in functional analysis. |
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| Keywords: | steady-state solution time-dependent solution C 0-semigroup dispersive operator |
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