Perfect periodic scheduling for three basic cycles

Kim, Eun-Seok and Glass, Celia (2014) Perfect periodic scheduling for three basic cycles. Journal of Scheduling, 17 (1). pp. 47-65. ISSN 1094-6136 (doi:10.1007/s10951-013-0331-3)

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Abstract

Periodic scheduling has many attractions for wireless telecommunications. It offers energy saving where equipment can be turned off between transmissions, and high-quality reception through the elimination of jitter, caused by irregularity of reception. However, perfect periodic schedules, in which each (of n) client is serviced at regular, pre-specified intervals, are notoriously difficult to construct. The problem is known to be NP-hard even when service times are identical. This paper focuses on cases of up to three distinct periodicities, with unit service times. Our contribution is to derive a O(n4) test for the existence of a feasible schedule, and a method of constructing a feasible schedule if one exists, for the given combination of client periodicities. We also indicate why schedules with a higher number of periodicities are unlikely to be useful in practice. This methodology can be used to support perfect periodic scheduling in a wide range in real world settings, including machine maintenance service, wireless mesh networks and various other telecommunication networks transmitting packet size data.

Item Type: Article
Additional Information: Published online: 17 May 2013. The final publication is available at Springer via http://dx.doi.org/10.1007/s10951-013-0331-3
Research Areas: A. > Business School > International Management and Innovation
Item ID: 17407
Depositing User: Eun-Seok Kim
Date Deposited: 25 Aug 2015 10:07
Last Modified: 31 May 2019 08:39
URI: https://eprints.mdx.ac.uk/id/eprint/17407

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