A Novel Move-To-Front-or-Logarithmic Position (MFLP) Online List Update Algorithm
arXiv:2010.13042
Abstract
In this paper we propose a novel online deterministic list update algorithm known as Move-To-Front-or-Logarithmic Position (MFLP). Our proposed algorithm MFLP achieves a competitive ratio of 2 for larger list with respect to static optimum offline algorithm, whereas MFLP is not competitive for smaller list. We also show that MFLP is 2 competitive with respect to dynamic optimum offline algorithm. Our results open up a new direction of work towards classifying the online algorithms based on competitive and not competitive.
11 pages, 2 figures, accepted in International Conference on Discrete Mathematics and its Applications to Network Sciences (ICDMANS) 2018, BITS, Pilani, K.K Birla Campus, Goa, India