Amortized efficiency of list update and paging rules
Communications of the ACM
Theoretical Computer Science
The Canadian Traveller Problem
SODA '91 Proceedings of the second annual ACM-SIAM symposium on Discrete algorithms
Online computation and competitive analysis
Online computation and competitive analysis
Developments from a June 1996 seminar on Online algorithms: the state of the art
Developments from a June 1996 seminar on Online algorithms: the state of the art
A note on the k-Canadian Traveller Problem
Information Processing Letters
Competitive k-server algorithms
SFCS '90 Proceedings of the 31st Annual Symposium on Foundations of Computer Science
Hi-index | 0.00 |
From the online point of view, we study the Recoverable Canadian Traveller Problem (Recoverable-CTP) in a special network, in which the traveller knows in advance the structure of the network and the travel time of each edge. However, some edges may be blocked and the traveller only observes that upon reaching the vertex of the blocked edge, and the blocked edge may be reopened but the traveller doesn't know its recovery time. The goal is to find a least-cost route from the origin node to the destination node, more precisely, to find an adaptive strategy minimizing the ratio of traversed time to the travel time of the optimal offline shortest path (where all blocked edges and their recovery time are known in advance). We present an optimal online strategy - a comparison strategy and prove its competitive ratio. Moreover, with the different forecasts of the recovery time, some online strategies are given under the risk-reward framework, and the rewards and the risks of the different strategies are analysed.