2005
DOI: 10.1007/11539902_91
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Harmony Search for Generalized Orienteering Problem: Best Touring in China

Abstract: Abstract. In order to overcome the drawbacks of mathematical optimization techniques, soft computing algorithms have been vigorously introduced during the past decade. However, there are still some possibilities of devising new algorithms based on analogies with natural phenomena. A nature-inspired algorithm, mimicking the improvisation process of music players, has been recently developed and named Harmony Search (HS). The algorithm has been successfully applied to various engineering optimization problems. I… Show more

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Cited by 166 publications
(74 citation statements)
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“…HS has been very successful in a wide variety of optimization problems [17,18,19,32], presenting several advantages over traditional optimization techniques such as: (a) HS algorithm imposes fewer mathematical requirements and does not require initial value settings for decision variables, (b) as the HS algorithm uses stochastic random searches, derivative information is also unnecessary, and (c) the HS algorithm generates a new vector, after considering all of the existing vectors, whereas methods such as GA only consider the two parent vectors. These three features increase the flexibility of the HS algorithm.…”
Section: Introductionmentioning
confidence: 99%
“…HS has been very successful in a wide variety of optimization problems [17,18,19,32], presenting several advantages over traditional optimization techniques such as: (a) HS algorithm imposes fewer mathematical requirements and does not require initial value settings for decision variables, (b) as the HS algorithm uses stochastic random searches, derivative information is also unnecessary, and (c) the HS algorithm generates a new vector, after considering all of the existing vectors, whereas methods such as GA only consider the two parent vectors. These three features increase the flexibility of the HS algorithm.…”
Section: Introductionmentioning
confidence: 99%
“…Let us start by briefly sketching the fundamentals of Harmony Search, which was first coined by Zong et al in [27] and thereafter applied to a wide number of applications and problems, such as: the Combined Heat and Power Economic Dispatch problem (CHPED) [28], the Traveling Salesperson Problem (TSP) [29], tour routing [30], Sudoku puzzle solving [31], distribution of 24h energency units [32] and Grouping problems [33], [34], among others. This paper elaborates further on the multi-objective view of the problem and presents a two-objective Harmony Search algorithm that attempts at simultaneously minimizing two (possibly conflicting) fitness functions: Investment Cost (IC) and Global Warming Potential (GWP).…”
Section: Proposed Multi-objective Harmony Search Algorithmmentioning
confidence: 99%
“…Thus, because of the search-space size of the problem. Adopting the idea that existing evolutionary or meta-heuristic algorithms are found in the paradigm of natural processes, a new algorithm can be conceptualized from a musical performance process (say, a jazz trio) in [21,22] involving searching for a better harmony. Musical performance seeks a best state (fantastic harmony) determined by aesthetic estimation, as the optimization process seeks a best state (global optimum: minimum cost; minimum error; maximum benefit; or maximum efficiency) determined by objective function evaluation.…”
Section: The Harmony Search Approachmentioning
confidence: 99%