Algorithms and Data Structures: 13th International - download pdf or read online

By Mahmuda Ahmed, Iffat Chowdhury, Matt Gibson (auth.), Frank Dehne, Roberto Solis-Oba, Jörg-Rüdiger Sack (eds.)

ISBN-10: 3642401031

ISBN-13: 9783642401039

ISBN-10: 364240104X

ISBN-13: 9783642401046

This e-book constitutes the refereed court cases of the thirteenth Algorithms and information buildings Symposium, WADS 2013, held in London, ON, Canada, August 2013. The Algorithms and information buildings Symposium - WADS (formerly "Workshop on Algorithms and information Structures") is meant as a discussion board for researchers within the region of layout and research of algorithms and information buildings. The forty four revised complete papers provided during this quantity have been conscientiously reviewed and chosen from 139 submissions. The papers current unique study on algorithms and knowledge constructions in all parts, together with bioinformatics, combinatorics, computational geometry, databases, photographs, and parallel and disbursed computing.

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Read Online or Download Algorithms and Data Structures: 13th International Symposium, WADS 2013, London, ON, Canada, August 12-14, 2013. Proceedings PDF

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Extra resources for Algorithms and Data Structures: 13th International Symposium, WADS 2013, London, ON, Canada, August 12-14, 2013. Proceedings

Example text

The main remaining open problem is to find practical algorithms with better approximation factors. For example we conjecture that First Fit Decreasing is actually a 4/3-approximation. Without the stacking constraint, this follows from Graham’s 4/3-approximation bounds for multiprocessor scheduling [8], but with the stacking constraint the best bound we can prove is 3/2. Also, can we find a 3 4 2 -approximation (or even 3 -approximation) that slices every rectangle at most once? Finally, is there a simple PTAS for strip packing with slicing (with or without the stacking constraint)?

The 2SP problem is very well-studied [14], and generalizes the bin packing problem, which is equivalent to the case in which all rectangles have unit height. The current best approximation algorithm for 2SP has an approximation factor of 5/3 + ε for any ε > 0 [9], and was achieved after a long sequence of successive improvements [1,16,17,19]. , the height achieved is at most 5/3 + ε times the optimal height. Many other authors have proposed algorithms with asymptotic performance guarantees [4,13,11] where an additive term is allowed.

Repeat with the remainder of ri , and continue until all rectangles have been processed. In the case of 2SP-SSC, the stacking constraint must be respected when placing slices. See Figure 1. H 6 r3 5 4 3 r2 r3 2 F r3 1 r1 0 0 1 2 3 4  Fig. 1. An execution of the First Fit algorithm on a 2SP-SSC instance. Note that r3 is sliced twice, and a smaller height would be achieved without the stacking constraint. It is not hard to show that after placing each rectangle, the difference between the maximum height H and the floor F (the maximum height to which the entire strip is filled) is at most hmax .

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Algorithms and Data Structures: 13th International Symposium, WADS 2013, London, ON, Canada, August 12-14, 2013. Proceedings by Mahmuda Ahmed, Iffat Chowdhury, Matt Gibson (auth.), Frank Dehne, Roberto Solis-Oba, Jörg-Rüdiger Sack (eds.)


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