We use binary trees to analyze two algorithms, insertion sort and multiple quckselect. In each case, we consider the number of comparisons consumed as a measure of performance. We assume that the ranks of the n data values being searched or sorted form a random permutation of the integers {l,...,n}.
Probabilistic analysis of packing and partitioning algorithms
โ Scribed by E. G. Coffman, George S. Lueker
- Publisher
- John Wiley & Sons
- Year
- 1991
- Tongue
- English
- Leaves
- 202
- Series
- Wiley-Interscience Series in Discrete Mathematics and Optimization
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This is a theoretical analysis of a probabilistic approach to solving packing or partitioning algorithms. These generally require the partitioning of a set of nonnegative numbers so that the sums of the elements in the blocks of the partition satisfy some given property. Departs from previous research on these types of algorithms in that it takes a probabilistic rather than a heuristic approach to solving them.
โฆ Subjects
ะะฐัะตะผะฐัะธะบะฐ;ะขะตะพัะธั ะฒะตัะพััะฝะพััะตะน ะธ ะผะฐัะตะผะฐัะธัะตัะบะฐั ััะฐัะธััะธะบะฐ;ะขะตะพัะธั ะฒะตัะพััะฝะพััะตะน;
๐ SIMILAR VOLUMES
Assuming only an elementary background in discrete mathematics, this textbook is an excellent introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses. It includes random sampling, expectations, Markov's and Chevyshev's inequalities,
"This textbook is designed to accompany a one- or two-semester course for advanced undergraduates or beginning graduate students in computer science and applied mathematics. It gives an excellent introduction to the probabilistic techniques and paradigms used in the development of probabilistic a
Assuming only an elementary background in discrete mathematics, this textbook is an excellent introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses. It includes random sampling, expectations, Markov's and Chevyshev's inequalities,
<p><I>Probabilistic Analysis of Algorithms</I> begins with a presentation of the "tools of the trade" currently used in probabilistic analyses, and continues with an applications section in which these tools are used in the analysis ofr selected algorithms. The tools section of the book provides the