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占线订单排序D-收益函数下改进的随机策略 被引量:4

An Improved Randomized Strategy for On-line Order Scheduling Problem with D-benevolent Function
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摘要 对于订单具有紧交货期限且以最大化完工总收益为目标的占线订单排序问题,Woeginger提出了完工收益与订单长度满足D-收益函数的模型,并给出了竞争比为4的最优确定性策略。针对该模型设计了竞争比为2的一个简单随机策略,该结论改进了Epstein和Levin(2008)的竞争比2.455 4。 For the on-line order scheduling problem where each order has tight deadline and the objective aims to maximize the profit of completed orders,Woeginger(1994) put forward one model with D-benevolent function,and preented an optimal 4-competitive deterministic strategy.The paper will proposed a(2-competitive) randomized strategy.The strategy is much simpler than previous randomized ones and(improves) the previous ratio of 2.4554 by Epstein and Levin(2008).
出处 《系统管理学报》 CSSCI 北大核心 2010年第1期93-95,共3页 Journal of Systems & Management
基金 国家杰出青年基金资助项目(70525004) 国家自然科学基金资助项目(70702030 70602031) 优秀创新群体项目(70121001) 教育部博士点新教师基金资助项目(20070698053)
关键词 订单排序 随机策略 竞争比 占线策略 order scheduling randomized strategy competitive ratio on-line strategy
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参考文献6

  • 1Woeginger G J. On-line scheduling of jobs with fixed start and end times[J]. Theoretical Computer Science, 1994, 130(1): 5-16.
  • 2Seiden S S. Randomized online interval scheduling[J]. Operations Research Letters, 1998, 22 : 171-177.
  • 3Miyazawa H, Erlebach T. An improved randomized on-line algorithm for a weighted interval selection problem[J]. Journal of Scheduling, 2004(7): 293- 311.
  • 4Fung S P Y, Poon C K, Zheng F F. Online interval scheduling: randomized and multiprocessor cases[J]. Journal of Combinatorial Optimization, 2008 : 16 : 248- 262.
  • 5Epstein L, Levin A. Improved randomized results for that interval selection problem[C]//In 16th Annual European Symposium on Algorithms. Karlsruhe, Germany, 2008, 381-392.
  • 6Sleator D, Tarjan R. Amortized efficiency of list update and paging rules[J]. Communications of the ACM, 1985, 28(2): 202-208.

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