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直线上的k-配送小车调度问题与竞争策略
引用本文:辛春林,崔文田,衣方磊,马卫民.直线上的k-配送小车调度问题与竞争策略[J].系统工程,2005,23(5):25-28.
作者姓名:辛春林  崔文田  衣方磊  马卫民
作者单位:1. 西安交通大学,管理学院,陕西,西安,710049
2. 清华大学,经济管理学院,北京,100084
基金项目:国家自然科学基金资助项目(70471035,10371094,70401006),国家自然科学基金会优秀创新研究群体基金资助项目(70121001)
摘    要:提出和研究了直线上的局内k-配送小车调度问题。应用复位策略,竞争比为k 2;设计了解决该问题的竞争算法,证明采用局部双覆盖策略Local Double Coverage Strategy(LDCS)的竞争比为k.最后,简单地分析了该问题的一个特例——局内电梯调度问题,得出了比较结果。

关 键 词:局内问题  直线上的k-配送小车  局部双覆盖策略  竞争算法
文章编号:1001-4098(2005)05-0025-04

Scheduling for On-line k Delivery-carts Problem on a Real Line and Its Competitive Strategy
XIN Chun-lin,CUI Wen-tian,YI Fang-lei,MA Wei-min.Scheduling for On-line k Delivery-carts Problem on a Real Line and Its Competitive Strategy[J].Systems Engineering,2005,23(5):25-28.
Authors:XIN Chun-lin  CUI Wen-tian  YI Fang-lei  MA Wei-min
Institution:XIN Chun-lin~1,CUI Wen-tian~1,YI Fang-lei~1,MA Wei-min~2
Abstract: The on-line problem of k delivery-carts on a real line is studied in this paper, which is a generalization of the (well-known) k-server problem. How k delivery-carts serve a sequence of requests must be determined in an online manner. With the help of Position Maintaining Strategy (PMS for short), a competitive algorithm in a ratio of k+2 has been (obtained.) Furthermore, another deterministic on-line strategy is proposed, namely, the Local Double Coverage Strategy (LDCS for short),a competitive algorithm with competitive ratio k is achieved. Finally,a particular case concerning elevator is analyzed and some results have been obtained.
Keywords:On-line Problem  k Delivery-carts on a Real Line  Local Double Coverage Strategy  Competitive Algorithms
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