On-line Scheduling with a Monotonous Subsequence Constraint

  • Kelin LuoEmail author
  • Yinfeng Xu
  • Huili Zhang
  • Wei Luo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10336)


In this paper, we study a new on-line scheduling problem that each server has to process a monotonous request subsequence. The customer requests are released over-list, and the operator has to decide whether or not to accept the current request and arrange it to a server immediately. The goal of this paper is to find a strategy which accepts the maximal requests. When the number of servers k is less than that of the request types m, we give several lower bounds for this problem. Also, we present the optimal strategy for \( k=1 \) and \( k=2 \) respectively.


Scheduling On-line algorithm Competitive analysis Monotonous subsequence 



This work was partially supported by the NSFC (Grant No. 71601152), and by the China Postdoctoral Science Foundation (Grant No. 2016M592811).


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of ManagementXi’an Jiaotong UniversityXi’anChina
  2. 2.The State Key Lab for Manufacturing Systems EngineeringXi’anChina
  3. 3.Department of Geography, Santa BarbaraUniversity of CaliforniaBerkeleyUSA

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