Verifying specifications for large-scale control systems is of utmost importance, but can be hard in practice as most formal verification methods can not handle high-dimensional dynamics. Contract theory has been prop...
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The existence of strongly polynomial-time algorithm for linear programming is a cross century international mathematical problem, whose breakthrough will solve a major theoretical crisis for the development of artific...
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We study properties and applications of various circuit imbalance measures associated with linear spaces. These measures describe possible ratios between nonzero entries of support-minimal nonzero vectors of the space...
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The introduction of active methodologies has caused changes in the ways of teaching and learning, so gamebased learning can be applied to stimulate and enhance learning. In the Operations Research subject, the difficu...
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ISBN:
(纸本)9781665423595
The introduction of active methodologies has caused changes in the ways of teaching and learning, so gamebased learning can be applied to stimulate and enhance learning. In the Operations Research subject, the difficulty in appropriating the concepts of linear programming was diagnosed. As an alternative solution, it was proposed to implement the hanged and sudoku games as reinforcement mechanisms and the crossword puzzle as an evaluation instrument. To do this, the students collaboratively constructed a glossary of terms related to the topic. For the implementation of these activities, the Moodle platform was used. An exploratory-descriptive quasi-experimental design was developed through the implementation of a survey that collected students’ perception of recreational activities. The experience was carried out with 35 students. It was concluded that the games played through a virtual medium contributed to the appropriation of the concepts of the theme worked, which improved the motivation and attitude towards the subject. In addition, the development of other skills and competences benefited, in particular the lifelong learning competence.
With the marketization of electricity trading, linear programming solvers are becoming more and more important in power system decision-making. How to select a suitable solver for economic dispatching of power systems...
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ISBN:
(纸本)9781665434263
With the marketization of electricity trading, linear programming solvers are becoming more and more important in power system decision-making. How to select a suitable solver for economic dispatching of power systems becomes a tricky problem that needs to be considered in a focused manner. In order to evaluate the applicability of linear programming (LP) solvers in power system economic dispatching problems, nine most commonly used LP solvers are sorted out and compared qualitatively from three perspectives of compatibility, openness and pervasiveness, and a quantitative efficiency comparison of these linear programming solvers is carried out based on security constrained economic dispatch (SCED) problems of different scales. Finally, based on the statistical results, a comprehensive feature presentation is made using radar diagrams to derive an optimization solver suitable for linear programming problems in power systems.
There is a recent interest on first-order methods for linear programming (LP). In this paper, we propose a stochastic algorithm using variance reduction and restarts for solving sharp primaldual problems such as LP. W...
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Optimizing the allocation of raw materials, production of raw materials to finished products, and the distribution of finished products can be quite difficult especially if the network of suppliers, production plants,...
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ISBN:
(纸本)9781665401685
Optimizing the allocation of raw materials, production of raw materials to finished products, and the distribution of finished products can be quite difficult especially if the network of suppliers, production plants, and customers is vast. linear programming (LP) can be utilized to ensure optimality. Specifically, integer linear programming (ILP) is used in this paper. An ILP model was built to determine from which suppliers and how many raw materials from these suppliers should be acquired, how many raw materials each production plant of the company should acquire, how many of the finished goods each production plant should produce, and from which production plants the finished products should be distributed to the customers. The aim of the model is to minimize total cost incurred which is composed of raw material purchase costs, production costs, and transportation costs. Data such as raw material supply, raw material costs, raw material requirements, production capabilities, production costs, raw material and finished product conversions, customer demand, and transportation costs were gathered from the plastic manufacturing company. The software MATLAB was used to determine the optimal solution. It was then determined that the total cost would be minimized from ₱23,615,400 to ₱21,940,000. Through the use of ILP, the total cost was reduced by ₱1,675,400 or 7.09%. (Conversion rate: ₱50 ~ ${\$}$1).
A Binary Integer linear Programing (BILP) model was used to find the Fuzzy Critical Path (FCP) of a fuzzy project network, when the lengths of all activities are represented as Octagonal Fuzzy Numbers (OFN). Although ...
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ISBN:
(纸本)9781665420334
A Binary Integer linear Programing (BILP) model was used to find the Fuzzy Critical Path (FCP) of a fuzzy project network, when the lengths of all activities are represented as Octagonal Fuzzy Numbers (OFN). Although there are many methods to solve the fuzzy network problems, this paper presents the simplest method for the purpose of estimating the CP, especially, when every path activity is expressed by an OFN in the fuzzy network problems. The OFN of each activity converted to the crisp one using a modified ranking approach. A numerical example of a fuzzy network problem is given to illustrated the steps of the method were the OFN of each activity represented the time needed to complete implementation of that activity. The same example is solved by using CP Method (CPM). This is considered to be one of the leading standard methods of solving such problems. This paper presents a comparison of results of the two methods.
In this paper, a novel Trust Region based Sequential linear programming (TRSLP) method is proposed for unscheduled intentional islanding in microgrid. In unscheduled islanding, the solution must be obtained with minim...
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ISBN:
(纸本)9781665428743
In this paper, a novel Trust Region based Sequential linear programming (TRSLP) method is proposed for unscheduled intentional islanding in microgrid. In unscheduled islanding, the solution must be obtained with minimum time and minimum load curtailment by maintaining all the system parameter constraints intact. First, the unscheduled intentional islanding is formulated as a nonlinear constrained optimization problem. Then, the TRSLP based optimization method is employed to obtain the final switching sequence of the network so that intentional islanding can be done in optimal manner. The objective function of the optimization problem is to minimize the amount of load curtailment. To validate the proposed technique, a 7-bus microgrid test system is simulated in Real-Time Digital Simulator (RTDS) and corresponding system parameters are further used in the TRSLP optimization technique to get the optimal islanding area.
We consider infinite horizon optimal control problems with time averaging and time discounting criteria and give estimates for the Cesàro and Abel limits of their optimal values in the case when they depend on th...
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