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具有预约到达时间的平行机在线排序问题研究
On-line Scheduling of Jobs with Order Arrival Time and Hard Deadline on Two Parallel Identical Machines
【摘要】 以现代服务业预定系统中的实际问题为背景,研究了一类具有预约到达时间和最迟完工时间的在线排序问题;论证了两台机器时该问题的在线算法竞争比下界为2;在传统在线排序算法的基础上提出了针对该问题的在线贪婪算法,并分析了该算法的竞争比.
【Abstract】 On-line scheduling of independent jobs with order arrival time and hard deadlines is an extension of traditional on-line scheduling problems.Based on real booking systems in modern service industry,on-line scheduling of independent jobs with arbitrary order arrival time,job release times and hard deadlines on two parallel identical machines is studied.The upper bound of competitive ratios of on-line algorithms for the two-machine case is analyzed.An on-line greedy algorithm with a competitive ratio of 3 is presented.
【关键词】 在线排序;
平行机排序;
预约到达时间;
最迟完工时间;
【Key words】 on-line scheduling; parallel machine; arbitrary release time; hard deadline;
【Key words】 on-line scheduling; parallel machine; arbitrary release time; hard deadline;
【基金】 国家自然科学基金重点资助项目(70432001)
- 【文献出处】 复旦学报(自然科学版) ,Journal of Fudan University(Natural Science) , 编辑部邮箱 ,2009年06期
- 【分类号】O223
- 【被引频次】1
- 【下载频次】89