Penttonen M., Schmidt E.M.'s Algorithm Theory - SWAT 2002 PDF

By Penttonen M., Schmidt E.M.

This ebook constitutes the refereed complaints of the eighth Scandinavian Workshop on set of rules thought, SWAT 2002, held in Turku, Finland, in July 2002.The forty three revised complete papers offered including invited contributions have been conscientiously reviewed and chosen from 103 submissions. The papers are equipped in topical sections on scheduling, computational geometry, graph algorithms, robotics, approximation algorithms, information verbal exchange, computational biology, and information garage and manipulation.

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In the full version, we show that this problem is NP-hard on paths and strongly NP-hard on trees. The problem of scheduling a single vehicle online when all handling times are zero is investigated by Ausiello et al. [1]. The FO and RTO variants of this problem are of interest. For both FO and RTO, they obtain results for general metrics, and stronger results for paths. We show that if one has a c-competitive online algorithm for zero handling times, then it is possible to get a (c + 1)-competitive online algorithm for nonnegative handling times.

K. Mehlhorn and S. N¨ aher. Bounded ordered dictionaries in O(log log n) time and O(n) space. Information Processing Letters, 35:183–189, 1990. 15. S. Muthukrishnan and Martin M¨ uller. Time and space efficient method-lookup for object-oriented programs (extended abstract). In Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, pages 42–51, Atlanta, Georgia, January 28–30 1996. 16. R. Raman. Eliminating Amortization: On Data Structures with Guaranteed Response Time. PhD thesis, University of Rochester, Computer Science Department, October 1992.

For all three objective functions, the Lazy Bureaucrat Scheduling Problem is polynomially solvable under pmtnI , weakly NP-complete under pmtnII , and strongly NP-complete under pmtnIII . Open problems include finding algorithms for 1 | lazy, pmtnII | Cmax , 1 | lazy, pmtnII | ij tij , and 1 | lazy, pmtnII | j wj (1 − Uj ) that run in pseudopolynomial time, with or without release dates. 3 New Results for the Single Bureaucrat In this section, we present an algorithm for 1 | lazy, pmtnII | Cmax which runs in pseudopolynomial time.

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Algorithm Theory - SWAT 2002 by Penttonen M., Schmidt E.M.


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