607: Advanced Network Algorithms Spring 2009 Last updated: Jan 9‚ 2009 ❑ Instructor: Galen H. Sasaki. Email: sasaki@spectra.eng.hawaii.edu. Tel: 348 9432 (cell). Office: Holmes 436. Office Hours: MW 1:45-2:45. ❑ Days and Times: MW 12:30-1:45pm (May change if we can find a room and days/times) ❑ Room: Holmes 389 ❑ Brief Course Description: The course will cover algorithms that are used in network research and implementation. These include graph algorithms‚ transmission scheduling
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Wright’s Savings Algorithm Jens Lysgaard (translated by Michael M. Sørensen) Department of Management Science and Logistics The Aarhus School of Business Fuglesangs Allé 4 DK-8210 Aarhus V September 1997 1. Introduction. In 1964 Clarke & Wright published an algorithm for the solution of that kind of vehicle routing problem‚ which is often called the classical vehicle routing problem. This algorithm is based on a so-called savings concept. This note briefly describes the algorithm and demonstrates
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60 LABEL A 70 END (i) Explain what is being achieved. [4] (ii) If you replaced the line LET Y = X/3 by the line LET Y = X/5‚ how would this change the outcome of the above? [1] 2. The following algorithm is to be applied to the positive integers from 1 to 12. Step 1: Cross out every even number. Step 2: Change the state of every multiple of 3 (including 3) – i.e. for every multiple of 3‚ if it is crossed out then remove the crossing
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The RSA Algorithm Evgeny Milanov 3 June 2009 In 1978‚ Ron Rivest‚ Adi Shamir‚ and Leonard Adleman introduced a cryptographic algorithm‚ which was essentially to replace the less secure National Bureau of Standards (NBS) algorithm. Most importantly‚ RSA implements a public-key cryptosystem‚ as well as digital signatures. RSA is motivated by the published works of Diffie and Hellman from several years before‚ who described the idea of such an algorithm‚ but never truly developed it. Introduced at the
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CPSC 413 Assignment 1 Asymptotic Notation and Summations Sample Analysis Goal This document will give a detailed analysis of Floyd-Warshall’s All-Pairs Shortest Path algorithm‚ which should give you an idea of the detail that is required in your own solution for assignment 1. Floyd’s Algorithm • Graph Problem: All-Pairs Shortest Path • Input: A weighted graph denoted by adjacency matrix W . (The vertices are assumed to be numbered from 1 to n) • Output: Matrix D containing the length
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Chapter 7 Backtracking Algorithms Truth is not discovered by proofs but by exploration. It is always experimental. — Simone Weil‚ The New York Notebook‚ 1942 Objectives • • • • • • To appreciate how backtracking can be used as a solution strategy. To recognize the problem domains for which backtracking strategies are appropriate. To understand how recursion applies to backtracking problems. To be able to implement recursive solutions to problems involving backtracking. To comprehend the minimax
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Algorithm Analysis and Design NP-Completeness Pham Quang Dung Hanoi‚ 2012 Pham Quang Dung () Algorithm Analysis and Design NP-Completeness Hanoi‚ 2012 1 / 31 Outline 1 Easy problems - class P Decision problems vs. Optimization problems Class NP Reductions NP-complete class 2 3 4 5 Pham Quang Dung () Algorithm Analysis and Design NP-Completeness Hanoi‚ 2012 2 / 31 Class P: Problems that are solvable by polynomial-time algorithms (O(nk ) where n
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sorted 2. Selection Sort 1. array to be sorted: A 2. array to be returned: B 3. find smallest element in A and put in B 4. mark space in A with null so it won’t be chosen again 5. repeat last two steps until B is sorted array 3. Insertion Sort 1. algorithm passes through each element everything before element is sorted puts element in appropriate place in sorted half of array by checking each element starting from the back of the sorted part of the array 2. Code Methods: insertionsort
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PageRank Algorithm December 9‚ 2012 Abstract This paper dicsusses the PageRank algorithm. We carefully go through each step of the algorithm and explain each procedure. We also explain the mathematical setup of the algorithm‚ including all computations that are used in the PageRank algorithm. Some of the topics that we touch on include the following‚ but not limited to‚ are: linear algebra‚ node analysis‚ matrix theory‚ and numerical methods. But primarily this paper concerns itself with
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with producers. MRP Overview Planning Algorithm • Start at the due date for a finished product (or end item ) (Tk). • Determine the last operation‚ the time required for that operation (tk−1)‚ and the material required for that operation. • The material may come from outside‚ or from earlier operations inside the factory. • Subtract the last operation time from the due date to determine when the last operation should start. MRP Overview Planning Algorithm Tk−1 = Tk − tk−1 • The material required
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