| 工作休假和休假中止的M/G/1排队模型的适定性 |
| |
| 引用本文： | 图尔逊艾力·尼亚孜,艾合买提·阿不来提.工作休假和休假中止的M/G/1排队模型的适定性[J].运筹与管理,2012,21(2):106-115. |
| |
| 作者姓名： | 图尔逊艾力·尼亚孜 艾合买提·阿不来提 |
| |
| 作者单位： | 新疆财经大学应用数学学院,新疆乌鲁木齐,830012 |
| |
| 摘 要： | 主要研究工作休假和休假中止的M/G/1排队系统,首先将对应于此系统的数学模型转化为抽象Cauchy问题,其次证明对应于此排队模型的主算子生成正压缩C0半群T(t),然后证明T(t)是局部等距的,最后证明此模型存在唯一的非负时间依赖解。
|
| 关 键 词： | 工作休假和休假中止的M/G/1排队系统 C0半群 dispersive算子 局部等距算子 |
Well-Posedness of M/G/1 Queuing System with Multiple Working Vacation and Vacation Interruption |
| |
| Tursuneli Niyaz
,
Ehmet Ablet.Well-Posedness of M/G/1 Queuing System with Multiple Working Vacation and Vacation Interruption[J].Operations Research and Management Science,2012,21(2):106-115. |
| |
| Authors: | Tursuneli Niyaz Ehmet Ablet |
| |
| Institution: | Tursuneli Niyaz,Ehmet Ablet(College of Application Mathematics,Xinjiang University of Finance and Economics,Urumqi 830012,China) |
| |
| Abstract: | In this paper,we mainly study the M/G/1 queuing system with multiple working vacation and vacation interruption.First,we convert the mathematical model corresponding to this system into an abstract Cauchy problem.Second,we prove that the operator corresponding this queuing model generates a positive contraction C0-semigroup T（t）.Then we show that T（t） is isometric operator.Last,we conclude that this model has a unique nonnegative time-dependent solution. |
| |
| Keywords: | the M/G/1 queuing system with multiple working vacation and vacation interruption C0-semigroup dispersive operator isometric operator |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
