Current Trends in Theoretical Computer Science: The by Gheorghe Paun, Grzegorz Rozenberg, Arto Salomaa

By Gheorghe Paun, Grzegorz Rozenberg, Arto Salomaa

This e-book is predicated on columns and tutorials released within the Bulletin of the eu organization for Theoretical desktop technology (EATCS) throughout the interval 2000-2003.

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Additional resources for Current Trends in Theoretical Computer Science: The Challenge of the New Century (Vol 1: Algorithms and Complexity) (Vol 2: Formal Models and Semantics)

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Our goal is to describe some activities in this area since 1993 when the first workshop on analysis of algorithms took place. We briefly describe the first three seminars, outlining some presentations and discussing in depth some results published in three post-conference special issues. In the forthcoming paper (Part II) we shall report about activities after 1998. 41 2 Average-Case Analysis of Algorithms, Dagstuhl, 1993 In 1990, during the Random Graphs conference in Poznari, Philippe Flajolet, Rainer Kemp, and Helmut Prodinger decided to organize a seminar exclusively devoted to analysis of algorithms.

Pj,aFor every stage i, there is one corresponding machine Mi. First, the first operation Oj,i of the job has to be processed on machine Mi for pj^i time units, then there might be some waiting time where the job is not processed, then the second operation Oj^ is processed on machine Mi, another waiting time, then the third operation is processed on machine M3, and so on. Intuitively speaking, the jobs flow through the sequence of machines/stages. A flow shop environment is indicated by an entry 'F' or l Fs' in the a-field, depending on whether the number s of stages is part of the input or not.

37. 38. 39. 40. 41. 42. approximation guarantees for job-shop scheduling. Proceedings of the 8th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA'1997), 599-608. Journal version in SIAM Journal on Discrete Mathematics 14, 2001, 67-92. T. Gonzalez and S. Sahni. Open shop scheduling to minimize finish time. Journal of the ACM 23 (1976), 665-679. T. Gormley, N. Reingold, E. Torng, and J. Westbrook. Generating adversaries for request-answer games. Proceedings of the 11th Annual ACMSIAM Symposium on Discrete Algorithms (SODA '2000), 564-565.

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