Towards Flexible Demands in Online Leasing Problems

S. Li, A. Mäcker, C. Markarian, F. Meyer auf der Heide, S. Riechers, in: Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON), 2015, pp. 277--288.

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Abstract
We consider online leasing problems in which demands arrive over time and need to be served by leasing resources. We introduce a new model for these problems such that a resource can be leased for K different durations each incurring a different cost (longer leases cost less per time unit). Each demand i can be served anytime between its arrival ai and its deadline ai+di by a leased resource. The objective is to meet all deadlines while minimizing the total leasing costs. This model is a natural generalization of Meyerson’s ParkingPermitProblem (FOCS 2005) in which di=0 for all i. We propose an online algorithm that is Θ(K+dmaxlmin)-competitive where dmax and lmin denote the largest di and the shortest available lease length, respectively. We also extend the SetCoverLeasing problem by deadlines and give a competitive online algorithm which also improves on existing solutions for the original SetCoverLeasing problem.
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Proceedings Title
Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON)
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277--288
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Li S, Mäcker A, Markarian C, Meyer auf der Heide F, Riechers S. Towards Flexible Demands in Online Leasing Problems. In: Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON). Lecture Notes in Computer Science. ; 2015:277--288. doi:10.1007/978-3-319-21398-9_22
Li, S., Mäcker, A., Markarian, C., Meyer auf der Heide, F., & Riechers, S. (2015). Towards Flexible Demands in Online Leasing Problems. In Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON) (pp. 277--288). https://doi.org/10.1007/978-3-319-21398-9_22
@inproceedings{Li_Mäcker_Markarian_Meyer auf der Heide_Riechers_2015, series={Lecture Notes in Computer Science}, title={Towards Flexible Demands in Online Leasing Problems}, DOI={10.1007/978-3-319-21398-9_22}, booktitle={Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON)}, author={Li, Shouwei and Mäcker, Alexander and Markarian, Christine and Meyer auf der Heide, Friedhelm and Riechers, Sören}, year={2015}, pages={277--288}, collection={Lecture Notes in Computer Science} }
Li, Shouwei, Alexander Mäcker, Christine Markarian, Friedhelm Meyer auf der Heide, and Sören Riechers. “Towards Flexible Demands in Online Leasing Problems.” In Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON), 277--288. Lecture Notes in Computer Science, 2015. https://doi.org/10.1007/978-3-319-21398-9_22.
S. Li, A. Mäcker, C. Markarian, F. Meyer auf der Heide, and S. Riechers, “Towards Flexible Demands in Online Leasing Problems,” in Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON), 2015, pp. 277--288.
Li, Shouwei, et al. “Towards Flexible Demands in Online Leasing Problems.” Proceedings of the 21st Annual International Computing and Combinatorics Conference (COCOON), 2015, pp. 277--288, doi:10.1007/978-3-319-21398-9_22.
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