The Mobile Server Problem

B. Feldkord, F. Meyer auf der Heide, in: Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 2017, pp. 313–319.

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Abstract
We introduce the mobile server problem, inspired by current trends to move computational tasks from cloud structures to multiple devices close to the end user. An example for this are embedded systems in autonomous cars that communicate in order to coordinate their actions. Our model is a variant of the classical Page Migration Problem. Moreformally, we consider a mobile server holding a data page.The server can move in the Euclidean space (of arbitrary dimension). In every round, requests for data items from the page pop up at arbitrary points in the space. The requests are served, each at a cost of the distance from the requesting point and the server, and the mobile server may move, at a cost D times the distance traveled for some constant D . We assume a maximum distance m the server is allowed to move per round. We show that no online algorithm can achieve a competitive ratio independent of the length of the input sequence in this setting. Hence we augment the maximum movement distance of the online algorithms to ( 1 + δ) times the maximum distance of the offline solution. We provide a deterministic algorithm which is simple to describe and works for multiple variants of our problem. The algorithm achieves almost tight competitive ratios independent of the length of the input sequence.
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Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)
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313-319
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Feldkord B, Meyer auf der Heide F. The Mobile Server Problem. In: Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA). ; 2017:313-319. doi:10.1145/3087556.3087575
Feldkord, B., & Meyer auf der Heide, F. (2017). The Mobile Server Problem. In Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA) (pp. 313–319). https://doi.org/10.1145/3087556.3087575
@inproceedings{Feldkord_Meyer auf der Heide_2017, title={The Mobile Server Problem}, DOI={10.1145/3087556.3087575}, booktitle={Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)}, author={Feldkord, Björn and Meyer auf der Heide, Friedhelm}, year={2017}, pages={313–319} }
Feldkord, Björn, and Friedhelm Meyer auf der Heide. “The Mobile Server Problem.” In Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 313–19, 2017. https://doi.org/10.1145/3087556.3087575.
B. Feldkord and F. Meyer auf der Heide, “The Mobile Server Problem,” in Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 2017, pp. 313–319.
Feldkord, Björn, and Friedhelm Meyer auf der Heide. “The Mobile Server Problem.” Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 2017, pp. 313–19, doi:10.1145/3087556.3087575.
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