This paper present a novel method to perform clustering of time-series and static data. The method, named Circle-Clustering (CirCle), could be classified as a partition method that uses criteria from SVM and hierarchi...
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ISBN:
(纸本)9781467314909
This paper present a novel method to perform clustering of time-series and static data. The method, named Circle-Clustering (CirCle), could be classified as a partition method that uses criteria from SVM and hierarchical methods to perform a better clustering. Different heuristic clustering techniques were tested against the CirCle method by using data sets from UCI Machine Learning Repository. In all tests, CirCle obtained good results and outperformed most of clustering techniques considered in this work. In addition, CirCle was tested against others heuristic techniques considering time-series data from electric feeders in Santiago, Chile's capital city. The optimal solution of the min-cut clustering optimization problem was solved in order to identify the optimal solution for 883 datasets. The results show that the proposed method obtains an average of 81% of well-classified samples in all datasets. Also, as compared to other algorithms, CirCle made a better classification in 98.7% of the datasets as compared to the Model-Base Best BIC. As compared to K-means, Robust K-means and Ward's methods the new algorithm classified better in nearly 68% of the datasets.
An intelligent building energy system which has power grid, autonomous generators, renewable energy resources, storage devices, and controllable loads has been proposed. In this paper, we consider an allocation and sc...
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ISBN:
(纸本)9781467313988
An intelligent building energy system which has power grid, autonomous generators, renewable energy resources, storage devices, and controllable loads has been proposed. In this paper, we consider an allocation and scheduling problem of electrical and thermal storage devices together with other devices in building energy system to minimize the overall cost while satisfying the occupants demand. The above problem is formulated as a mixed integer programming problem. The CPLEX solver is used to solve the proposed problem. By the proposed method, we can fix the types of storage devices and allocate the capacity of the fixed storage devices with demand profiles and their investment cost. The performance analysis of storage devices is demonstrated using numerical cases.
The optimal charging schemes for Electric vehicles (EV) generally differ from each other in the choice of charging periods and the possibility of performing vehicle-to-grid (V2G), and have different impacts on EV econ...
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ISBN:
(纸本)9781467327299
The optimal charging schemes for Electric vehicles (EV) generally differ from each other in the choice of charging periods and the possibility of performing vehicle-to-grid (V2G), and have different impacts on EV economics. Regarding these variations, this paper presents a numerical comparison of four different charging schemes, namely night charging, night charging with V2G, 24 hour charging and 24 hour charging with V2G, on the basis of real driving data and electricity price of Denmark in 2003. For all schemes, optimal charging plans with 5 minute resolution are derived through the solving of a mixed integer programming problem which aims to minimize the charging cost and meanwhile takes into account the users' driving needs and the practical limitations of the EV battery. In the post processing stage, the rainflow counting algorithm is implemented to assess the lifetime usage of a lithium-ion EV battery for the four charging schemes. The night charging scheme is found to be the cheapest solution after conducting an annual cost comparison.
In this paper we review different mixed integer programming formulations of the STDMA Scheduling problem and introduce a novel formulation. It is shown that the problem admits, in general, multiple optimal solutions -...
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ISBN:
(纸本)9781467310680
In this paper we review different mixed integer programming formulations of the STDMA Scheduling problem and introduce a novel formulation. It is shown that the problem admits, in general, multiple optimal solutions - we propose an efficient cut generation procedure to construct all optimal schedules and investigate the properties of optimal schedules in two small networks.
The aim of our research is to acquire ideal images of city and urban traffic for various purpose. To achieve the aim, we propose optimization models which consist of city, mobilities and inhabitants. There are two mod...
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ISBN:
(纸本)9781467327435;9781467327428
The aim of our research is to acquire ideal images of city and urban traffic for various purpose. To achieve the aim, we propose optimization models which consist of city, mobilities and inhabitants. There are two models we are proposed from point of view of accuracy and computation time. One is relatively accurate but takes a lot of time to compute. The other is less accurate, however, larger problems can be computed than the former model. The former model could not solve practical size due to computational time. Through computational experiment using extreme evaluation values, validness of latter model is suggested.
In this dissertation, we introduce new families of valid inequalities for general linear mixedinteger programs (MIPs) and second-order conic MIPs (SOCMIPs) and establish several theoretical properties and computation...
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In this dissertation, we introduce new families of valid inequalities for general linear mixedinteger programs (MIPs) and second-order conic MIPs (SOCMIPs) and establish several theoretical properties and computational effectiveness of these inequalities. First we introduce the mixed n-step mixedinteger rounding (MIR) inequalities for a generalization of the mixing set which we refer to as the n-mixing set. The n-mixing set is a multi-constraint mixedinteger set in which each constraint has n integer variables and a single continuous variable. We then show that mixed n-step MIR can generate multi-row valid inequalities for general MIPs and special structure MIPs, namely, multimodule capacitated lot-sizing and facility location problems. We also present the results of our computational experiments with the mixed n-step MIR inequalities on small MIPLIB instances and randomly generated multi-module lot-sizing instances which show that these inequalities are quite effective. Next, we introduce the n-step conic MIR inequalities for the so-called polyhedral second-order conic (PSOC) mixedinteger sets. PSOC sets arise in the polyhedral reformulation of SOCMIPs. We first introduce the n-step conic MIR inequality for a PSOC set with n integer variables and prove that all the 1-step to n-step conic MIR inequalities are facet-defining for the convex hull of this set. We also provide necessary and sufficient conditions for the PSOC form of this inequality to be valid. Then, we use the aforementioned n-step conic MIR facet to derive the n-step conic MIR inequality for a general PSOC set and provide conditions for it to be facet-defining. We further show that the n-step conic MIR inequality for a general PSOC set strictly dominates the n-step MIR inequalities written for the two linear constraints that define the PSOC set. We also prove that the n-step MIR inequality for a linear mixedinteger constraint is a special case of the n-step conic MIR inequality. Finally, we conduc
An optimal weighting scheme is proposed to construct economic, political and financial risk indices in emerging markets using an approach that relies on consistent tests for stochastic dominance efficiency. These test...
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An optimal weighting scheme is proposed to construct economic, political and financial risk indices in emerging markets using an approach that relies on consistent tests for stochastic dominance efficiency. These tests are considered for a given risk index with respect to all possible indices constructed from a set of individual risk factors. The test statistics and the estimators are computed using mixed integer programming methods. We derive an economic. political and financial risk ranking of emerging countries. Finally, an overall risk index is constructed. One main result is that the financial risk is the leading contributor to sovereign risk in emerging markets followed by the economic and political risks. (C) 2012 Elsevier B.V. All rights reserved.
Graph-based semi-supervised learning (SSL) methods play an increasingly important role in practical machine learning systems, particularly in agnostic settings when no parametric information or other prior knowledge i...
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Graph-based semi-supervised learning (SSL) methods play an increasingly important role in practical machine learning systems, particularly in agnostic settings when no parametric information or other prior knowledge is available about the data distribution. Given the constructed graph represented by a weight matrix, transductive inference is used to propagate known labels to predict the values of all unlabeled vertices. Designing a robust label diffusion algorithm for such graphs is a widely studied problem and various methods have recently been suggested. Many of these can be formalized as regularized function estimation through the minimization of a quadratic cost. However, most existing label diffusion methods minimize a univariate cost with the classification function as the only variable of interest. Since the observed labels seed the diffusion process, such univariate frameworks are extremely sensitive to the initial label choice and any label noise. To alleviate the dependency on the initial observed labels, this article proposes a bivariate formulation for graph-based SSL, where both the binary label information and a continuous classification function are arguments of the optimization. This bivariate formulation is shown to be equivalent to a linearly constrained Max-Cut problem. Finally an efficient solution via greedy gradient Max-Cut (GGMC) is derived which gradually assigns unlabeled vertices to each class with minimum connectivity. Once convergence guarantees are established, this greedy Max-Cut based SSL is applied on both artificial and standard benchmark data sets where it obtains superior classification accuracy compared to existing state-of-the-art SSL methods. Moreover, GGMC shows robustness with respect to the graph construction method and maintains high accuracy over extensive experiments with various edge linking and weighting schemes.
This paper presents a mixed integer programming (MIP) model which succeeds in a system integration of the production planning and shop floor scheduling problems. The proposed advanced planning and scheduling (APS) mod...
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This paper presents a mixed integer programming (MIP) model which succeeds in a system integration of the production planning and shop floor scheduling problems. The proposed advanced planning and scheduling (APS) model explicitly considers capacity constraints, operation sequences, lead times and due dates in a multi-order environment. The objective of the model is to seek the minimum cost of both production idle time and tardiness or earliness penalty of an order. The output of the model is operation schedules with order starting time and finish time. Numerical result shows that the suggested APS model can favorably produce optimal schedules. (c) 2006 Elsevier B.V. All rights reserved.
Conflict analysis for infeasible subproblems is one of the key ingredients in modern SAT solvers. III contrast, it is common practice for today's mixed integer programming solvers to discard infeasible subproblems...
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Conflict analysis for infeasible subproblems is one of the key ingredients in modern SAT solvers. III contrast, it is common practice for today's mixed integer programming solvers to discard infeasible subproblems and the information they reveal. III this paper, we try to remedy this situation by generalizing SAT infeasibility analysis to mixed integer programming. We present heuristics for branch-and-cut solvers to generate valid inequalities from the Current infeasible subproblem and the associated branching information. SAT techniques can then be used to strengthen the resulting constraints. Extensive Computational experiments show the potential Of Our method. Conflict analysis greatly improves the performance oil particular models, while it does not interfere with the solving process on the other instances. In total, the number of required branching nodes oil general MIP instances was reduced by 18% in the geometric mean, and the solving time was reduced by 11%. On infeasible MIP arising in the context of chip verification and on a model for a particular combinatorial game, the number of nodes was reduced by 80%, thereby reducing the solving time by 50%. (c) 2006 Elsevier B.V. All rights reserved.
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