Amortized efficiency of list update and paging rules
Communications of the ACM
Competitive distributed file allocation
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Convergence rates for Markov chains
SIAM Review
Online computation and competitive analysis
Online computation and competitive analysis
Competitive On-Line Algorithms for Distributed Data Management
SIAM Journal on Computing
On page migration and other relaxed task systems
Theoretical Computer Science
Page Migration Algorithms Using Work Functions
ISAAC '93 Proceedings of the 4th International Symposium on Algorithms and Computation
Fighting against two adversaries: page migration in dynamic networks
Proceedings of the sixteenth annual ACM symposium on Parallelism in algorithms and architectures
Improved algorithms for dynamic page migration
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
Dynamic page migration with stochastic requests
Proceedings of the seventeenth annual ACM symposium on Parallelism in algorithms and architectures
Optimal algorithms for page migration in dynamic networks
Journal of Discrete Algorithms
Page migration in dynamic networks
MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
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We consider Dynamic Page Migration (DPM) problem, one of the fundamental subproblems of data management in dynamically changing networks. We investigate a hybrid scenario, where access patterns to the shared object are dictated by an adversary, and each processor performs a random walk in $\mathcal{X}$. We extend the previous results of [4]: we develop algorithms for the case where $\mathcal{X}$ is a ring, and prove that with high probability they achieve a competitive ratio of $\tilde{\mathcal{O}} (\min \{ \sqrt[4]{D}, n \})$, where D is the size of the shared object and n is the number of nodes in the network. These results hold also for any d-dimensional torus or mesh with diameter at least $\tilde{\Omega}(\sqrt{D})$.