Chimera graphs define the topology of one of the first commercially available quantum computers. A variety of optimization problems have been mapped to this topology to evaluate the behavior of quantum enhanced optimi...
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ISBN:
(纸本)9781450342063
Chimera graphs define the topology of one of the first commercially available quantum computers. A variety of optimization problems have been mapped to this topology to evaluate the behavior of quantum enhanced optimization heuristics in relation to other optimizers, being able to efficiently solve problems classically to use them as benchmarks for quantum machines. In this paper we investigate for the first time the use of Evolutionary algorithms (EAs) on Ising spin glass instances defined on the Chimera topology. Three genetic algorithms (GAs) and three estimation of distribution algorithms (EDAs) are evaluated over 1000 hard instances of the Ising spin glass constructed from Sidon sets. We focus on determining whether the information about the topology of the graph can be used to improve the results of EAs and on identifying the characteristics of the Ising instances that influence the success rate of GAs and EDAs.
We present a new hybrid model-based algorithm called Memetic Path Relinking (MemPR). MemPR incorporates ideas of memetic, evolutionary, model-based algorithms and path relinking. It uses different operators that compe...
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ISBN:
(纸本)9783319747187;9783319747170
We present a new hybrid model-based algorithm called Memetic Path Relinking (MemPR). MemPR incorporates ideas of memetic, evolutionary, model-based algorithms and path relinking. It uses different operators that compete to fill a small population of high quality solutions. We present a new hard grouping problem derived from a real world transport lot building problem. In order to better understand the algorithm as well as the problem we analyse the impact of the different operators on solution quality and which operators perform best at which stage of optimisation. Finally we compare MemPR to other state-of-the-art algorithms and find that MemPR outperforms them on real-world problem instances.
In this paper, we introduce a copula-based EDA that uses a Discrete Vine-Copula (DVC) model. This model is particularly suited to represent distributions in the permutation representation. To demonstrate the effective...
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ISBN:
(纸本)9781450367486
In this paper, we introduce a copula-based EDA that uses a Discrete Vine-Copula (DVC) model. This model is particularly suited to represent distributions in the permutation representation. To demonstrate the effectiveness of the proposed Discrete-Vine-Copula based EDAs (DVCEDA), we perform a set of experiments on instances of the known TSP problems. The results obtained are promising to extend the work on other class of problems.
estimation of distribution algorithms have been successfully used for solving many combinatorial optimization problems. One type of problems in which estimation of distribution algorithms have presented strong competi...
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ISBN:
(纸本)9781450367486
estimation of distribution algorithms have been successfully used for solving many combinatorial optimization problems. One type of problems in which estimation of distribution algorithms have presented strong competitive results are permutation-based combinatorial optimization problems. In this case, the algorithms use probabilistic models specifically designed for codifying probability distributions over permutation spaces. One class of these probability models is distance-based exponential models, and one example of this class is the Mallows model. In spite of the practical success, the theoretical analysis of estimation of distribution algorithms for permutation-based combinatorial optimization problems has not been extensively developed. With this motivation, this paper presents a first mathematical analysis of the convergence behavior of estimation of distribution algorithms based on the Mallows model by using an infinite population to associate a dynamical system to the algorithm. Several scenarios, with different fitness functions and initial probability distributions of increasing complexity, are analyzed obtaining unexpected results in some cases.
In recent years, outpatient scheduling problem has attracted much attention. This paper considers the outpatient scheduling problem as an extension of the flexible job shop scheduling problem (FJSP), where the patient...
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ISBN:
(纸本)9789881563804
In recent years, outpatient scheduling problem has attracted much attention. This paper considers the outpatient scheduling problem as an extension of the flexible job shop scheduling problem (FJSP), where the patient is considered as a job. Then, to solve the outpatient scheduling problem, a hybrid imperialist competitive algorithm (HICA) is proposed. In the proposed algorithm, the simulated annealing (SA) algorithm and estimation of distribution algorithm (EDA) are embedded to improve the quality of the solution. Furthermore, the two realistic constraints, i.e., switching time and preparation time of patients are also considered to make the problem closer to the reality. Finally, to verify the performance of the proposed HICA, different outpatient scheduling problem instances are randomly generated and used for simulation tests. Four efficient algorithms, including imperialist competitive algorithm (ICA), improved genetic algorithm (IGA), EDA, and modified artificial immune algorithm (MAIA), are selected for detailed comparisons. The simulation results confirm that the proposed algorithm can solve the outpatient scheduling problem with high efficiency.
estimation of distribution algorithms (EDAs) have already demonstrated their utility when solving a broad range of combinatorial problems. However, there is still room for methodological improvement when approaching p...
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ISBN:
(纸本)9783030003746;9783030003739
estimation of distribution algorithms (EDAs) have already demonstrated their utility when solving a broad range of combinatorial problems. However, there is still room for methodological improvement when approaching problems with constraints. The great majority of works in the literature implement repairing or penalty schemes, or use ad-hoc sampling methods in order to guarantee the feasibility of solutions. In any of the previous cases, the behavior of the EDA is somehow denaturalized, since the sampled set does not follow the probability distribution estimated at that step. In this work, we present a general method to approach constrained combinatorial optimization problems by means of EDAs. This consists of developing distance-based exponential probability models defined exclusively on the set of feasible solutions. In order to illustrate this procedure, we take the 2-partition balanced Graph Partitioning Problem as a case of study, and design efficient learning and sampling methods to use distance-based exponential probability models in EDAs.
This paper introduces the Gaussian polytree estimation of distribution algorithm, a new construction method, and its application to estimation of distribution algorithms in continuous variables. The variables are assu...
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ISBN:
(纸本)9783642253294;9783642253300
This paper introduces the Gaussian polytree estimation of distribution algorithm, a new construction method, and its application to estimation of distribution algorithms in continuous variables. The variables are assumed to be Gaussian. The construction of the tree and the edges orientation algorithm are based on information theoretic concepts such as mutual information and conditional mutual information. The proposed Gaussian polytree estimation of distribution algorithm is applied to a set of benchmark functions. The experimental results show that the approach is robust, comparisons are provided.
Due to the increasing trend in IP traffic, the placement of Data Centers (DCs) at network nodes has become a hot research topic. A proper DCs placement translates in reduced power consumption of overall network. The p...
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ISBN:
(纸本)9781728197944
Due to the increasing trend in IP traffic, the placement of Data Centers (DCs) at network nodes has become a hot research topic. A proper DCs placement translates in reduced power consumption of overall network. The paper scope is to find the best placement of "k" DCs nodes out of "N" total nodes to reduce power consumption. To solve the problem, we propose two heuristics: EoDCP, based on estimation of distribution algorithm (EDA), and MaxN-MinL. An exhaustive search based ESDCP algorithm is used as a lower bound to compare the performance of EoDCP and MaxN-MinL. Moreover, electronic traffic grooming technique is employed to further reduce the total network power consumption. A 20-Node Random network and a 17-Node German network are used to perform comparison of proposed heuristics. Performance of EoDCP algorithm is far better than those of MaxN-MinL, and is similar to the optimal solution obtained via ESDCP. Finally, using electronic traffic grooming improves power savings up-to 15% in the two considered topologies.
作者:
Pelikan, Martin
Dept. of Math and Computer Science University of Missouri St. Louis United States
Probabilistic model-building algorithms (PMBGAs) replace traditional variation of genetic and evolutionary algorithms by (1) building a probabilistic model of promising solutions and (2) sampling the built model to ge...
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ISBN:
(纸本)9781605581309
Probabilistic model-building algorithms (PMBGAs) replace traditional variation of genetic and evolutionary algorithms by (1) building a probabilistic model of promising solutions and (2) sampling the built model to generate new candidate solutions. PMBGAs are also known as estimation of distribution algorithms (EDAs) and iterated density-estimationalgorithms (IDEAs).Replacing traditional crossover and mutation operators by building and sampling a probabilistic model of promising solutions enables the use of machine learning techniques for automatic discovery of problem regularities and exploitation of these regularities for effective exploration of the search space. Using machine learning in optimization enables the design of optimization techniques that can automatically adapt to the given problem. There are many successful applications of PMBGAs, for example, Ising spin glasses in 2D and 3D, graph partitioning, MAXSAT, feature subset selection, forest management, groundwater remediation design, telecommunication network design, antenna design, and *** tutorial Probabilistic Model-Building GAs will provide a gentle introduction to PMBGAs with an overview of major research directions in this area. Strengths and weaknesses of different PMBGAs will be discussed and suggestions will be provided to help practitioners to choose the best PMBGA for their problem.
Evolution strategies have been demonstrated to offer a state-of-theart performance on different optimisation problems. The efficiency of the algorithm largely depends on its ability to build an adequate meta-model of ...
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ISBN:
(纸本)9783319133324;9783319133317
Evolution strategies have been demonstrated to offer a state-of-theart performance on different optimisation problems. The efficiency of the algorithm largely depends on its ability to build an adequate meta-model of the function being optimised. This paper proposes a novel algorithm RBM-ES that utilises a computationally efficient restricted Boltzmann machine for maintaining the meta-model. We demonstrate that our algorithm is able to adapt its model to complex multidimensional landscapes. Furthermore, we compare the proposed algorithm to state-of the art algorithms such as CMA-ES on different tasks and demonstrate that the RBM-ES can achieve good performance.
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