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EXPANSIVE TYPE MAPPINGS IN DISLOCATED QUASI-METRIC SPACE WITH SOME FIXED POINT RESULTS AND APPLICATION

  • Haripada Das;Nilakshi Goswami
    • Korean Journal of Mathematics
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    • v.32 no.2
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    • pp.245-257
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    • 2024
  • In this paper, we prove some new fixed point results for expansive type mappings in complete dislocated quasi-metric space. A common fixed point result is also established considering such mappings. Suitable examples are provided to demonstrate our results. The solution to a system of Fredholm integral equations is also established to show the applicability of our results.

FIXED POINTS FOR S-CONTRACTIONS OF TYPE E ON S-METRIC SPACES

  • Thangjam Bimol;N. Priyobarta;Yumnam Rohen;Kumam Anthony Singh
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.3
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    • pp.635-648
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    • 2024
  • In this paper, we extend the concept of S-contractions of type E in an S-metric space. Further, by combining simulation function and S-contractions of type E, we examine the existence and uniqueness of fixed point in a complete S-metric space. Sufficient examples are provided and application to the solution of integral equation is also made.

The study on the Sensorless PMSM Controlusing the Superposition Theory (중첩의 정리를 이용한 PMSM의 센서리스 재어에 관한 연구)

  • Hong, Jeng-Pyo;Kwon, Soon-Jae;Kim, Gyu-Seob;Sohn, Mu-Heon;Kim, Jong-Dal
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.756-760
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    • 2002
  • This study presents a solution to control a Permanent Magnet Synchronous Motor without sensors. The control method is the presented superposition principle. This method of sensorless theory is very simple to compute estimated angle. Therefore computing time to estimate angle is shorter than other sensorless method. The use of this system yields enhanced operations, fewer system components, lower system cost, energy efficient control system design and increased efficiency. A practical solution is described and results are given in this Study. The performance of a Sensorless architecture allows an intelligent approach to reduce the complete system costs of digital motion control applications using cheaper electrical motors without sensors. This paper deals with an overview of sensorless solutions in PMSM control applications whereby the focus will be the new Controller without sensors and its applications.

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Scaling laws for vibration response of anti-symmetrically laminated plates

  • Singhatanadgid, Pairod;Ungbhakorn, Variddhi
    • Structural Engineering and Mechanics
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    • v.14 no.3
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    • pp.345-364
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    • 2002
  • The scaling laws for vibration response of anti-symmetrically laminated plates are derived by applying the similitude transformation to the governing differential equations directly. With this approach, a closed-form solution of the governing equations is not required. This is a significant advantage over the method employed by other researchers where similitude transformation is applied to the closed-form solution. The scaling laws are tested by comparing the similitude fundamental frequencies to the theoretical fundamental frequencies determined from the available closed-form solutions. In case of complete similitude, similitude solutions from the scaling laws exactly agree with the theoretical solutions. Sometimes, it may not be feasible to select the model which obeys the similarity requirement completely, therefore partial similitude is theoretically investigated and approximate scaling laws are recommended. The distorted models in stacking sequences and laminated material properties demonstrate reasonable accuracy. On the contrary, a model with distortion in fiber angle is not recommended. The derived scaling laws are very useful to determine the vibration response of complex prototypes by performing the experiment on a model with required similarities.

Constraint Programming Approach for a Course Timetabling Problem

  • Kim, Chun-Sik;Hwang, Junha
    • Journal of the Korea Society of Computer and Information
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    • v.22 no.9
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    • pp.9-16
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    • 2017
  • The course timetabling problem is a problem assigning a set of subjects to the given classrooms and different timeslots, while satisfying various hard constraints and soft constraints. This problem is defined as a constraint satisfaction optimization problem and is known as an NP-complete problem. Various methods has been proposed such as integer programming, constraint programming and local search methods to solve a variety of course timetabling problems. In this paper, we propose an iterative improvement search method to solve the problem based on constraint programming. First, an initial solution satisfying all the hard constraints is obtained by constraint programming, and then the solution is repeatedly improved using constraint programming again by adding new constraints to improve the quality of the soft constraints. Through experimental results, we confirmed that the proposed method can find far better solutions in a shorter time than the manual method.

A Genetic Algorithm Using Hamiltonian Graph for Rural Postman Problem (Rural Postman 문제에서 헤밀토니안 그래프 변환에 의한 유전자 알고리즘 해법)

  • Kang, Myung-Ju;Han, Chi-Geun
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.4
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    • pp.709-717
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    • 1997
  • For an undirected graph G=(V, E), the Rural Postman Problem (RPP) is a problem that finds a minimum cost tour that must pass edges in E'($\subseteq$ E) at least once. RPP, such as Traveling Salesman Problem (TSP), is known as an NP. Complete problem. In the previous study of RPP, he structure of the chromosome is constructed by E' and the direction of the edge. Hence, the larger the size of IE' I is, the larger the size of the chromosome and the size of the solution space are. In this paper, we transform the RPP into a Hamiltonian graph and use a genetic algorithm to solve the transformed problem using restructured chromosomes. In the simulations, we analyze our method and the previous study. From the simulation results, it is found that the results of the proposed method is better than those of the previous method and the proposed method also obtains the near optimal solution in earlier generations than the previous study.

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Sensorless Speed Control of PMSM with Superposition Principle (중첩의 원리를 이용한 센서리스 PMSM속도제어)

  • 이동희;박성준;한성현
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.199-205
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    • 2002
  • This application study presents a solution to control a Permanent Magnet Synchronous Motor without sensors. The use of this system yields enhanced operations, fewer system components, lower system cost , energy efficient control system design and increased efficiency. The control method presented is field oriented control (FOC). The sinusoidal voltage waveforms are generated by the power module using the space vector modulation technique. A practical solution is described and results are given in this application Study. The performance of a Sensorless architecture allows an intelligent approach to reduce the complete system costs of digital motion control applications using cheaper electrical motors without sensors. This paper deals with an overview of sensorless solutions in digital motor control applications whereby the focus will be the new Controller without sensors and its applications.

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"Turn-on" type colorimetric/fluorimetric probe for selective detection of Cu2+ at neutral pH condition

  • Lee, Hyun Jung;Saleem, Muhammad;Lee, Ki Hwan
    • Rapid Communication in Photoscience
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    • v.4 no.4
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    • pp.88-90
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    • 2015
  • The design and development of fluorescent chemosensors have recently been intensively explored for sensitive and specific detection of environmentally and biologically relevant metal ions in aqueous solution and living cells. Herein, we report the photophysical results of rhodamine B based fluorogenic and chromogenic receptor for selective copper detection in the complete organic or mixed aqueous-organic media at neutral pH under ambient condition. The ligand exhibited the remarkable increment in the fluorescence emission and UV-visible absorption signal intensities at 587 and 547 nm, respectively, on induction of copper ion while the ligand solution remain completely silent on addition of varieties of other metal ions.

Nesting Expert System using Heuristic Search (휴리스틱 탐색 기법을 이용한 네스팅 전문가 시스템)

  • Sheen, Dong-Mok
    • Journal of Ocean Engineering and Technology
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    • v.26 no.4
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    • pp.8-14
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    • 2012
  • Two dimensional nesting is a common problem in industries such as the shipbuilding, automotive, clothing, shoe-making, and furniture industries, in which various parts are cut off from stock or packed in a flat space while minimizing waste or unoccupied space. Nesting is known as an NP-complete problem, which has a solution time proportional to the superpolynomial of the input size. It becomes practically impossible to find an optimal solution using algorithmic methods as the number of shapes to nest increases. Therefore, heuristic methods are commonly used to solve nesting problems. This paper presents an expert system that uses a heuristic search method based on an evaluation function for nesting problems, in which parts and stock are represented by pixels. The system is developed in CLIPS, an expert system shell, and is applied to four different kinds of example problems to verify its applicability in practical problems.

A Heuristic Algorithm for Minimizing Maintenance Workforce Level (정비작업 인력 수준 최소화를 위한 발견적 기법)

  • Chang, Soo-Y.;Hong, Yu-Shin;Kim, Jung-Hoe;Kim, Se-Rae
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.1
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    • pp.47-55
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    • 1999
  • This paper develops an efficient heuristic algorithm for scheduling workforce level that can accommodate all the requested maintenance jobs. Each job has its own release and due dates as well as man-day requirement, and must be scheduled in a non-interrupted time interval, namely, without preemption. Duration of each job is not fixed, but to be determined within given specific range. The objective is to minimize workforce level to complete all the requested maintenance jobs. We show that the problem can be seen as a variant of the two-dimensional bin-packing problem with some additional constraints. A non-linear mixed integer programming model for the problem is developed, and an efficient heuristic algorithm based on bin-packing algorithms is proposed. In order to evaluate goodness of the solution obtained from the proposed algorithm, a scheme for getting a good lower bound for the optimum solution is presented and analyzed. The computational experiment shows that the proposed algorithm performs quite satisfactorily.

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