The problem of electricity pricing for charging stations is a multi-objective mixed integer nonlinear programming. Existing algorithms have low efficiency in solving this problem. In this paper, a convex optimization ...
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The problem of electricity pricing for charging stations is a multi-objective mixed integer nonlinear programming. Existing algorithms have low efficiency in solving this problem. In this paper, a convex optimization algorithm is proposed to get the optimal solution quickly. Firstly, the model is transformed into a convex optimization problem by second-order conic relaxation and Karush-Kuhn-Tucker optimality conditions. Secondly, a polyhedral approximation method is applied to construct a mixed integer linear programming, which can be solved quickly by branch and bound method. Finally, the model is solved many times to obtain the Pareto front according to the scalarization basic theorem. Based on an IEEE 33-bus distribution network model, simulation results show that the proposed algorithm can obtain an exact global optimal solution quickly compared with the heuristic method.
Portfolio selection problems consist of two phases: stock evaluation and portfolio optimization. This article presents an integrated approach to solve these sub-problems. Stock evaluation problem includes vague parame...
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Portfolio selection problems consist of two phases: stock evaluation and portfolio optimization. This article presents an integrated approach to solve these sub-problems. Stock evaluation problem includes vague parameters, and fuzzy set is a useful tool to cope with uncertainty caused by both the financial markets and the behaviour of the investors' decisions. In the first phase, a fuzzy multi-criteria decision-making approach is proposed to evaluate 30 stocks taken from ISE30. Then, a multi-objective portfolio optimization model is presented in the second phase. Markowitz's mean-variance model is combined with the objective of the expected performance value of portfolio and cardinality constraints. This multi-objective real-life problem was solved by using the reservation level driven Tchebycheff procedure. Finally, the most preferred non-dominated solutions were determined by considering investors' preferences.
Mine-water inrush accidents have been threatening mining safety and been one of the major hazard sources of coal mines in China. Three-dimensional (3D) geological models can aid with mine safety. This study proposes a...
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Mine-water inrush accidents have been threatening mining safety and been one of the major hazard sources of coal mines in China. Three-dimensional (3D) geological models can aid with mine safety. This study proposes a framework of mine-water inrush scene constructing and drilling trajectory planning using 3D geological models. The framework is applied to the Zijiang Coal Mine in South China. First, based on the Object-Oriented Graphics Rendering Engine (OGRE), a 3D geological visualization platform for the coal mine is constructed using C++. Second, water-particle models are constructed using the Realflow and imported into the platform. Third, surface functions are fitted and expressed by polynomial equations. Subsequently, the theoretical shortest path is calculated with Dijkstra's algorithm. Then, a multi-objective programming model is constructed to calculate the satisfactory solution of time and engineering cost. Based on this framework, the models of water-inrush scene and drilling trajectory of the Zijiang Coal Mine are constructed. For comparison, field trials are conducted to show the difference between the theoretical and actual trajectories. Finally, the results show that the theoretical inclined trajectory and the actual inclined borehole consume less time, and the uncertainty of 3D data and the complexity of geological bodies. The framework provides a technical support for mine safety and has great potential in future engineering applications.
We present approximate solutions for the robust semi-infinite multi-objective convex symmetric cone programming problem. By using the robust optimization approach, we establish an approximate optimality theorem and ap...
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We present approximate solutions for the robust semi-infinite multi-objective convex symmetric cone programming problem. By using the robust optimization approach, we establish an approximate optimality theorem and approximate duality theorems for approximate solutions in convex symmetric cone optimization problem involving infinitely many constraints to be satisfied and multiple objectives to be optimized simultaneously under the robust characteristic cone constraint qualification. We also give an example to illustrate the obtained results in an important special case, namely the robust semi-infinite multi-objective convex second-order cone program.
In the traditional design of distribution network, designers often consider cost or profit as the objective. However, this is no longer adequate since quality of service becomes more important because of the improveme...
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In the traditional design of distribution network, designers often consider cost or profit as the objective. However, this is no longer adequate since quality of service becomes more important because of the improvement of people’s living standard. Therefore, this paper first analyzes the division of distribution network. Based on the customers’ requirement, the paper evaluates alternative link and nod in the distribution network from the perspective of customer demand using fuzzy-logic based comprehensive evaluation. The resulting method analyzes the level of service of every enterprise for alternatives in the distribution network. This paper establishes a mathematical model for the supply chain’s distribution network with two goals: minimizing cost and maximizing level of service. The paper presents a solution to this multi-objective problem.
According to the various and complicating of production planning problem, a visual modeling and simulation system for optimal production planning was proposed in this paper. Considering the opening, universality and i...
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ISBN:
(纸本)9781424417339
According to the various and complicating of production planning problem, a visual modeling and simulation system for optimal production planning was proposed in this paper. Considering the opening, universality and integrated optimization idea of system, objective oriented technology and operation research method were used to develop the system. Supporting by the system, planners can configure the production process, edit parameters of the production equipments according to actual condition, and generate multi-objective optimal programming model for production planning corresponding to orders, solve the model and evaluate the results.
The basic structure of a water supply dispatching system is proposed based on Case-Based Reasoning. The hydraulic model of pine network, the attributes to describe cases and a dispatching method based on genetic algor...
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ISBN:
(纸本)9787810545006
The basic structure of a water supply dispatching system is proposed based on Case-Based Reasoning. The hydraulic model of pine network, the attributes to describe cases and a dispatching method based on genetic algorithm for case revising is discussed in detail. Finally, the numerical example is given. The computation results show that the CBR-based dispatching system has great applicable potential for large scale of old Industrial cities.
This paper develops a multi-objective optimization model for the passenger train stopping scheme on high-speed railway *** the stopping times for all passenger trains,minimizing travel distance of empty trains and min...
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This paper develops a multi-objective optimization model for the passenger train stopping scheme on high-speed railway *** the stopping times for all passenger trains,minimizing travel distance of empty trains and minimizing the number of transfer passengers are the three planning objectives of the *** a given travel demand and specified capacity of stops,the model is solved by heuristic *** improved discrete Particle Swarm Optimization(PSO) algorithm is presented to determine the best-compromise train stopping scheme with high effectiveness and *** the algorithm,a stop based representation is designed,and a new method is used to update the position and velocity of *** order to keep the particle swarm algorithm from premature stagnation,the simulated annealing algorithm,which has local search ability,is combined with the PSO algorithm to make elaborate search near the optimal solution,then the quality of solutions is improved *** empirical study on a given small railway network is conducted to demonstrate the effectiveness of the model and the performance of the *** experimental results show that the hybrid algorithm has great advantages in both success rate and convergence speed compared with other discrete PSO algorithm and genetic algorithm,and an optimal set of stopping schemes can always be generated for a given *** achieve the best planning outcome,the stopping schemes should be flexibly planned,and not constrained by specific ones as often set by the planner.
In order to determine the sort and amounts of spare parts for the long voyage vessel which is usually difficult, the paper firstly analyzes the characteristics of spare parts supply and maintenance on the sea. The...
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In order to determine the sort and amounts of spare parts for the long voyage vessel which is usually difficult, the paper firstly analyzes the characteristics of spare parts supply and maintenance on the sea. Then based on the theory of multiobjectiveprogramming and law of diminishing marginal returns, a multi-weighted optimization model for the storage of spare parts and its algorithm flowchart are designed. At last an example of calculation is also offered.
Due to the asymmetric distribution of coal supply and demand in the geographical, inter-regional transportation is the main way of coal supply now. This paper based on the inter-regional transportation coal analysis t...
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Due to the asymmetric distribution of coal supply and demand in the geographical, inter-regional transportation is the main way of coal supply now. This paper based on the inter-regional transportation coal analysis the principles that should be obey and factors need to consider. multi-objective programming method is used to establish site selection model under inter-regional transportation, synthetically consider- ing the cost of logistics, logistics operational capacity, the constraints of rail capacity, and using degree of objective concordance method to balance the relationship of multiple objectives, using maximization of the degree on objective concordance to select optimal location. Then through a numerical example to check whether this model is meaningful.
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