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The Cartographer
Resource Augmentation Analysis of the Greedy Algorithm for the Online Transportation Problem
July 17, 2023 Β· Declared Dead Β· π Latin-American Algorithms, Graphs and Optimization Symposium
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Authors
Stephen Arndt, Josh Ascher, Kirk Pruhs
arXiv ID
2307.08832
Category
cs.DS: Data Structures & Algorithms
Citations
1
Venue
Latin-American Algorithms, Graphs and Optimization Symposium
Last Checked
4 months ago
Abstract
We consider the online transportation problem set in a metric space containing parking garages of various capacities. Cars arrive over time, and must be assigned to an unfull parking garage upon their arrival. The objective is to minimize the aggregate distance that cars have to travel to their assigned parking garage. We show that the natural greedy algorithm, augmented with garages of $k\ge3$ times the capacity, is $\left(1 + \frac{2}{k-2}\right)$-competitive.
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