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Competitive strategies for an online generalized assignment problem with a service consecution constraint

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  • Zheng, Feifeng
  • Cheng, Yongxi
  • Xu, Yinfeng
  • Liu, Ming

Abstract

This work studies a variant of the online generalized assignment problem, where there are m⩾2 heterogeneous servers to process n requests which arrive one by one over time. Each request must either be assigned to one of the servers or be rejected upon its arrival, before knowing any information of future requests. There is a corresponding weight (or revenue) for assigning each request to a server, and the objective is to maximize the total weights obtained from all the requests. We study the above problem with a service consecution constraint, such that at any time each server is only allowed to process up to d consecutive requests.

Suggested Citation

  • Zheng, Feifeng & Cheng, Yongxi & Xu, Yinfeng & Liu, Ming, 2013. "Competitive strategies for an online generalized assignment problem with a service consecution constraint," European Journal of Operational Research, Elsevier, vol. 229(1), pages 59-66.
  • Handle: RePEc:eee:ejores:v:229:y:2013:i:1:p:59-66
    DOI: 10.1016/j.ejor.2013.02.004
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    References listed on IDEAS

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    Cited by:

    1. Wenqiang Dai & Meng Zheng & Xu Chen & Zhuolin Yang, 0. "Online economic ordering problem for deteriorating items with limited price information," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-23.
    2. Dai, Wenqiang & Dong, Yucheng & Zhang, Xiaotian, 2016. "Competitive analysis of the online financial lease problem," European Journal of Operational Research, Elsevier, vol. 250(3), pages 865-873.
    3. Wenqiang Dai & Meng Zheng & Xu Chen & Zhuolin Yang, 2022. "Online economic ordering problem for deteriorating items with limited price information," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2246-2268, November.

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