期刊文献+

有两个服务等级的平行机排序问题 被引量:4

Parallel machine scheduling problem with two GoS levels
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摘要 对有两个服务等级的平行机排序问题的m台机情形,证明了修正的MF算法的最坏情况界不超过4/3+(1/2)^k,其中k是算法中预先给定的迭代次数.而已有的算法仅为2-1/m-1,从而大大改进了已有文献中的结果. For m parallel machines scheduling with two grade of service (GoS) levels, it is shown that the worst-case ratio of the modified MF algorithm is at most 4/3 + (1/2)^k , where k is the desired number of iteration, which improves greatly the known result 2-1/m-1
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2007年第3期275-284,共10页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 浙江省自然科学基金(Y605316)
关键词 平行机排序 服务等级 近似算法 最坏情况界 parallel machine scheduling grade of service approximation algorithm worst-case ratio
  • 相关文献

参考文献5

  • 1Hwang H,Chang S,Lee K.Parallel machine scheduling under a grade of service provision[J].Comput Oper Res,2004,31:2055-2061.
  • 2Graham R L.Bounds on multiprocessor timing anomalies[J].SIAM J Comput,1969,17:416-429.
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同被引文献15

  • 1蒋义伟,何勇,唐春梅.Optimal online algorithms for scheduling on two identical machines under a grade of service[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2006,7(3):309-314. 被引量:9
  • 2周萍,蒋义伟,华荣伟.具有服务等级的三台平行机排序问题[J].浙江大学学报(理学版),2007,34(4):378-383. 被引量:7
  • 3[1]Hwang H,Chang S,Lee K.Parallel machine scheduling under a grade of service provision[J].Computer & Operations Research,2004,31:2055-2061.
  • 4[2]Graham R L.Bounds for certain multiprocessing anomalies[J].The Bell System Technical journal,1966,45:1563-1581.
  • 5[3]Graham R L.Bounds on multiprocessing finishing anomalies[J].SIAM Journal on Applied Mathematics,1969,17:416-429.
  • 6[4]Lenstra J K,Shmoys D B,Tardos N E.Approximation algorithms for scheduling unrelated parallel machines[J].Mathematical Programming,1990,46:259-271.
  • 7[6]Azar Y,Naor J,Rom R.The competitiveness of on-line assignments[J].Journal of Algorithms,1995,18:221-237.
  • 8[7]Jiang Y,He Y.Tang C.Optimal online algorithms for scheduling on two identical machines under a grade of service[J].Journal of Zhejiang University Science,2005,7(3):309-314.
  • 9[8]Park J,Chang S,Lee K.Online and semi-online scheduling of two machines under a grade of service provision[J].Operations Research Letters,2006,34:692-696.
  • 10[9]Jiang Y.Online scheduling on paralled machines with two GOS levels[J].LNCS,2006,4041:11-21.

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