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 The term algorithm is often used to refer to the logic of a program It is a step-by step description of how to arrive at the solution of the given problem. It may be formally defined as a sequence of instructions‚ designed in a manner that‚ if the instructions are executed in the specified sequence‚ the desired results will be obtained. In order to qualify as an algorithm‚ a sequence of instructions must possess the following characteristics: Sample Algorithms 50 Students in a class
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Adopt Algorithm for Distributed Constraint Optimization Pragnesh Jay Modi Information Sciences Institute & Department of Computer Science University of Southern California http://www.isi.edu/~modi Distributed Optimization Problem “How do a set of agents optimize over a set of alternatives that have varying degrees of global quality?” Examples l allocating resources l constructing schedules l planning activities Difficulties l No global control/knowledge l Localized communication l Quality
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Sordaria fimicola and Genetic Diversity 23 October 2013 Sordaria fimicola and Crossover Frequencies in relation to Evolution Canyon Introduction Evolution Canyon is an important natural phenomenon‚ which is widely studied for its benefit in helping recreate evolution in a short period of time. It helps us visualize evolution‚ a process that takes place in the span of millions of years‚ because the animals on the canyon go through “evolution” in a very short‚ examinable time. There are two types
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1 A Modified Shuffled Frog Leaping Algorithm for Nonconvex Economic Dispatch Problem Eiman Sayedi‚ Malihe M. Farsangi‚ Mohammad Barati‚ and Kwang Y. Lee‚ Fellow‚ IEEE al. in [3]. To improve the performance of the SFL algorithm‚ a chaos search is combined with SFL by Li‚ et al. in [4]. In [5]‚ a new frog leaping rule is introduced and the direction and the length of each frog’s jump are extended by emulating frog’s perception and action uncertainties. Zhen‚ et al. in [6]‚ introduced a new leaping
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Algorithms Homework – Fall 2000 8.1-1 Using Figure 8.1 as a model‚ illustrate the operation of PARTITION on the array A = 13 19 9 5 12 8 7 4 11 2 6 21 i j j 6 19 9 5 12 8 7 4 11 2 13 21 i i j j 6 2 9 5 12 8 7 4 11 19 13 21
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CHAPTER 2 Cuckoo Search Algorithm This chapter provides a breif introduction to the area of Nature Inspired Algorithms and its classification. Among all the categories‚ Swarm intelligence will be the main area of focus. Various swarm intelligence techinques will be discussed in the later sections. Cuckoo Search Algorithm is also one of the latest swarm intelligence technique which is focused in this dissertation to solve the problem discussed in chapter 1. 1. Nature Inspired Algorithms Nature has always
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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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– I Analysis of Algorithm: INTRODUCTION – ANALYZING CONTROL STRUCTURES-AVERAGE CASE ANALYSIS-SOLVING RECURRENCES. ALGORITHM Informal Definition: An Algorithm is any well-defined computational procedure that takes some value or set of values as Input and produces a set of values or some value as output. Thus algorithm is a sequence of computational steps that transforms the i/p into the o/p. Formal Definition: An Algorithm is a finite set of
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