Distance measures are important in the framework of multi-criterion decision making with probabilistic linguistic term sets. However, few studies investigated the distance of probabilistic linguistic term sets from th...
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ISBN:
(数字)9781728124858
ISBN:
(纸本)9781728124865
Distance measures are important in the framework of multi-criterion decision making with probabilistic linguistic term sets. However, few studies investigated the distance of probabilistic linguistic term sets from the perspective of probability distributions. Due to this fact, this paper originally proposes a probabilistic linguistic Kolmogorov-Smirnov distance measure to identify the gaps between probability distributions. As a basis of this distance measure, the cumulative probability distributions of probabilistic linguistic term sets are introduced. Then, a common basic scale is given to get the probabilistic linguistic Kolmogorov-Smirnov distance between the probabilistic linguistic term sets with different lengths. After that, a linear programming technique for multidimensional analysis of preferences is developed based on the probabilistic linguistic Kolmogorov-Smirnov distance. An illustration of the hospital service quality evaluation is solved by the proposed method, and a sensitivity analysis is done to demonstrate the reliability of the results.
This paper deals with a trajectory tracking model predictive control for a single mast stacker crane, which is used for automatic storage or retrieval of payloads in automated warehouses. The mathematical model of the...
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ISBN:
(纸本)9781510863088
This paper deals with a trajectory tracking model predictive control for a single mast stacker crane, which is used for automatic storage or retrieval of payloads in automated warehouses. The mathematical model of the plant is a distributed parameter one, but it admits an excellent approximation by a flat lumped parameter system. The approximate nonlinear system is simplified further and the resulting linear time-varying system is implemented to design a model predictive controller. To provide an efficient formulation of an optimization task for the controller, the LTV-model is parametrized by a special flat output. Then, the model predictive control is formulated in the form of a linear program. For solving the derived linear program, an open-source optimal solver LP_SOLVE is chosen. To reduce a mechanical stress at clamping of a mast and an overall accessibility time, a special optimal trajectory calculated offline is chosen for the tracking by the designed controller. Finally, the simulation results of the nonlinear approximate model, subjected to model uncertainties and external disturbances, with the designed model predictive controller are presented. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
We consider wireless sensor networks that nodes offload data to a central collector node (sink) via wireless communication. Sensed data are associated with a value, decaying in time. In this scenario, we address the p...
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ISBN:
(纸本)9781538631805
We consider wireless sensor networks that nodes offload data to a central collector node (sink) via wireless communication. Sensed data are associated with a value, decaying in time. In this scenario, we address the problem of finding the path of sensed data so that the Value of Information (VoI) of the data delivered to a sink is maximized while keeping energy usage as low as possible. Sleep scheduling is a widely used technique in MAC-layer to reduce unnecessary idle energy consumption in WSN;however, when it is carried out without paying attention to network-layer routing, it may adversely affect sensed data value of information. In this paper, we employ linear programming (LP) to establish a paradigm of cross-layer formulation to capture the interplay between scheduling and routing. We propose a bi-objective model of data value of information maximization and energy cost minimization in a WSN. Compared to existing work, our formulation is not only bi-objective which considers both data value of information and energy consumption jointly, but also is more realistic given that it explicitly accounts for different types of signal interference that may affect a wireless transmission.
The rise in private vehicles has led to the rise in the demand for parking, and this demand calls for the need of existing parking areas to be fully optimized in order to accommodate as much vehicles as possible. With...
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ISBN:
(纸本)9781728139852
The rise in private vehicles has led to the rise in the demand for parking, and this demand calls for the need of existing parking areas to be fully optimized in order to accommodate as much vehicles as possible. With the utilization of linear programming, a proposed optimization of the Enrique Razon Sports Center parking in DLSU, Manila is proposed. Since its current driveway is much wider than the minimum width required by the Building Code of the Philippines, it is narrowed down in order to make room for more parking slots. The Simplex Method was used in order to obtain the maximized parking area on each floor, which resulted in the addition of 36 slots per floor. This optimization will increase the building's parking capacity and will bring added convenience to the Lasallian academic community.
We address the problem of image registration when speed is more important than accuracy. We present a series of simplification and approximations applicable to almost any pixel-based image similarity criterion. We fir...
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ISBN:
(纸本)9783030009281;9783030009274
We address the problem of image registration when speed is more important than accuracy. We present a series of simplification and approximations applicable to almost any pixel-based image similarity criterion. We first sample the image at a set of sparse keypoints in a direction normal to image edges and then create a piecewise linear convex approximation of the individual contributions. We obtain a linear program for which a global optimum can be found very quickly by standard algorithms. The linear program formulation also allows for an easy addition of regularization and trust-region bounds. We have tested the approach for affine and B-spline transformation representation but any linear model can be used. Larger deformations can be handled by multiresolution. We show that our method is much faster than pixel-based registration, with only a small loss of accuracy. In comparison to standard keypoint based registration, our method is applicable even if individual keypoints cannot be reliably identified and matched.
In the previous research, the authors have studied the fuzzy simplex method for trapezoidal fuzzy number linear programming based on the Maleki's ranking function. We have found some theories related to the term c...
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In the previous research, the authors have studied the fuzzy simplex method for trapezoidal fuzzy number linear programming based on the Maleki's ranking function. We have found some theories related to the term conditions for the optimum solution of fuzzy simplex method, the fuzzy Big-M method, the fuzzy two-phase method, and the sensitivity analysis. In this research, we study about the fuzzy simplex method based on the other ranking function. It is called Yager's ranking function. In this case, we investigate the optimum term conditions. Based on the result of research, it is found that Yager's ranking function is not like Maleki's ranking function. Using the Yager's function, the simplex method cannot work as well as when using the Maleki's function. By using the Yager's function, the value of the subtraction of two equal fuzzy numbers is not equal to zero. This condition makes the optimum table of the fuzzy simplex table is undetected. As a result, the simplified fuzzy simplex table becomes stopped and does not reach the optimum solution.
The study was an attempt to develop the model of a decision controller allowing for simultaneous optimisation of the stock of semi-finished product generated during cutting and cut-out waste. The proposed decision con...
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ISBN:
(纸本)9783319644653;9783319644646
The study was an attempt to develop the model of a decision controller allowing for simultaneous optimisation of the stock of semi-finished product generated during cutting and cut-out waste. The proposed decision controller was designed to select a suitable cut-out programme to account for such factors as: production orders, current stock of semi-finished product, minimum stock limits, the set limit of rejects. The elaboration concerns application of integer linear programming in multicriteria optimisation in constraint.
A new approach to the tracking of sinusoidal chirps using linear programming is proposed. It is demonstrated that the classical algorithm of [1] is greedy and exhibits exponential complexity for long searches, while a...
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This paper presents a systematic method to synthesize new finite blocklength converses for the channel coding of asymmetric multiple access channels (A-MAC) from point-to-point converses, by employing the linear progr...
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ISBN:
(纸本)9781538638217
This paper presents a systematic method to synthesize new finite blocklength converses for the channel coding of asymmetric multiple access channels (A-MAC) from point-to-point converses, by employing the linear programming (LP) based framework in [1]. A direct synthesis yields a converse that extends the Polyanskiy-Poor-Verdu metaconverse to A-MAC. Employing a more sophisticated non-linear synthesis, we derive a new, code-independent converse that is asymptotically tight.
It is the goal of scholars in the field of multi objective optimization to find wide distributive and uniform Pareto solution set over Pareto front. The reason is that the solutions of multi-objective optimization pro...
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ISBN:
(纸本)9781728101699
It is the goal of scholars in the field of multi objective optimization to find wide distributive and uniform Pareto solution set over Pareto front. The reason is that the solutions of multi-objective optimization problem is a set of Pareto solutions which are non-dominated each other, and the obtained Pareto solutions are often not well distributed and cannot satisfy the needs of decision makers. It may be the case that decision-makers expect to have a solution in an area to assist them for making decisions. In this paper, we propose a local search strategy based on linear programming and construct a multi-objective evolutionary algorithm based on linear programming (MOEA/LP). MOEA/LP algorithm makes up for the large "gap" in Pareto front, and makes Pareto optimal solutions over Pareto front more uniform and more extensive. Thereby, the decision makers use MOEA/LP algorithm to make more effective choice. Experiment results show the proposed algorithm has better performance according to some measure indices such as running time, hypervolue and C metric, etc.
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