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Application of Convex Optimization to Queuing Systems
作者姓名:郭彩芬  王宗荣
作者单位:[1]College of Automobile and Transportation Engineering, Liaoning Institute of Technology, Jinzhou 121001, China [2]College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
摘    要:On the basis of the queuing theory, a nonlinear optimal load allocation model is proposed. A novel transformafion method for the optimization variables is also presented, and the constraints are properly combined so as to make this model convex. The interior-point method for convex optimization is presented as an efficient computational tool. Finally, this model is evaluated by a real example,from which the following conclusions are drawn: the optimum result can ensure the full utilization of machines and the smallest amount of WIP (work-in-progress) in queuing systems; the interior-point method needs a few iterations with significant computational savings; other performance measures of queuing systems can also be optimized in a similar way.

关 键 词:优化设计  排列系统  非线形设计  荷载分配
文章编号:1005-2429(2006)02-0175-05
收稿时间:2005-01-19

Application of Convex Optimization to Queuing Systems
Guo Caifen,Wang Zongrong.Application of Convex Optimization to Queuing Systems[J].Journal of Southwest Jiaotong University,2006,14(2):176-181.
Authors:Guo Caifen  Wang Zongrong
Abstract:On the basis of the queuing theory, a nonlinear optimal load allocation model is proposed. A novel transformation method for the optimization variables is also presented, and the constraints are properly combined so as to make this model convex. The interior-point method for convex optimization is presented as an efficient computational tool. Finally, this model is evaluated by a real example, from which the following conclusions are drawn: the optimum result can ensure the full utilization of machines and the smallest amount of WIP (work-in-progress) in queuing systems; the interior-point method needs a few iterations with significant computational savings; other performance measures of queuing systems can also be optimized in a similar way.
Keywords:Queuing system  Load allocation  Convex optimization
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