Online computation and competitive analysis
Online computation and competitive analysis
On-line single-server dial-a-ride problems
Theoretical Computer Science
On-line algorithms for the dynamic traveling repair problem
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Online Dial-a-Ride Problems: Minimizing the Completion Time
STACS '00 Proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science
APPROX '02 Proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization
The Online Dial-a-Ride Problem under Reasonable Load
CIAC '00 Proceedings of the 4th Italian Conference on Algorithms and Complexity
News from the online traveling repairman
Theoretical Computer Science - Mathematical foundations of computer science
The Online TSP Against Fair Adversaries
INFORMS Journal on Computing
Computer-Aided Complexity Classification of Dial-a-Ride Problems
INFORMS Journal on Computing
Algorithms for the on-line quota traveling salesman problem
Information Processing Letters
Algorithms for on-line order batching in an order picking warehouse
Computers and Operations Research
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In the online dial-a-ride problem (OlDarp), objects must be transported by a server between points in a metric space. Transportation requests (“rides”) arrive online, specifying the objects to be transported and the corresponding source and destination. We investigate the OlDarp for the objective of minimizing the maximum flow time. It has been well known that there can be no strictly competitive online algorithm for this objective and no competitive algorithm at all on unbounded metric spaces. However, the question whether on metric spaces with bounded diameter there are competitive algorithms if one allows an additive constant in the definition competitive ratio, had been open for quite a while. We provide a negative answer to this question already on the uniform metric space with three points. Our negative result is complemented by a strictly 2-competitive algorithm for the Online Traveling Salesman Problem on the uniform metric space, a special case of the problem.