A dual simplex method for grey linear programming problems based on duality results

Salookolaei, Davood Darvishi; Nasseri, Seyed Hadi

doi:10.1108/gs-10-2019-0044

Cited by 5 publications

(5 citation statements)

References 20 publications

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“…It is assumed that A, B, C, and D in the left figure of Figure 4 are the occurrence points of microseisms. First, the w values of the four points are calculated by equation (22), and the point with the largest function value among the four points is found and removed according to the calcu-lation results. It is assumed that the maximum value of the function is point A.…”

Section: Principle and Methods Of Microseismic Monitoring Andmentioning

confidence: 99%

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The Use of Intelligent Sensing Algorithm for Internet of Things and Hash Spatial Information Location Technology

Wang

Liu

2021

Wireless Communications and Mobile Computing

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This exploration is aimed at quickly obtaining the spatial position information of microseismic focal points and increasing the accuracy of microseismic rapid positioning, to take timely corresponding measures. A microseismic focal point location system completely different from the traditional microseismic location method is proposed. The search engine technology is introduced into the system, which can locate the microseismic focal point quickly and accurately. First, the propagation characteristics of microseismic signals in coal and rock layers are analyzed, and the focal position information is obtained. However, the collected microseismic signal of the coal mine contains noise, so it is denoised at first. Then, a waveform database is established for the denoised waveform data and focal point position. The structure and mathematical model of the location-sensitive hash (LSH) based on P stable distribution are introduced and improved, and the optimized algorithm multiprobe LSH is obtained. The microseismic location model is established according to the characteristics of microseismic data. The values of three parameters, hash table number, hash function family dimension, and interval size, are determined. The experimental data of the parameters of the search engine algorithm are analyzed. The results show that when the number of hash tables is 6, the dimension k of the hash function family is 14, and the interval size W is 8000, the retrieval time reaches a relatively small value, the recall rate reaches a large value, and the proportion of retrieved candidates is large; the parameters of the search engine algorithm of the measured coal mine microseismic data are analyzed. It is obtained that when the number of hash tables is 4, the dimension k of the hash function family is 6, and the interval size W is 500, the retrieval time reaches a relatively small value, the recall rate obtains a large value, and the proportion of retrieved candidates is large. The contents studied are of great significance to the evaluation of destructive mine earthquakes and impact risk.

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Section: Principle and Methods Of Microseismic Monitoring Andmentioning

confidence: 99%

“…Then, the above operations are repeated until the limit of the objective function or the constraint of the number of iterations is reached, and the process is over. At this time, the minimum point of the function value is the occurrence point of microseisms [22,23].…”

Section: Principle and Methods Of Microseismic Monitoring Andmentioning

confidence: 99%

The Use of Intelligent Sensing Algorithm for Internet of Things and Hash Spatial Information Location Technology

Wang

Liu

2021

Wireless Communications and Mobile Computing

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“…However, in the grey systems, since in some cases the grey numbers may not be comparable with second part of Definition 6. For ⊗[0, 3] ≤ ⊗ [1,4], but we can not directly compare two grey numbers ⊗[0, 4] and ⊗ [1,2] by using Definition 6. Therefore, in a network may exist two paths between two vertices that can not compare their lengths.…”

Section: Definitionmentioning

confidence: 99%

“…Since then several approaches have been extended to solve some cases of grey linear programming models (see e.g. [13,18,17,3,4]). Recently, a comprehensive survey on grey linear programming has been presented by Darvishi et al [5].…”

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confidence: 99%

Grey Median Problem and Vertex Optimality

Fathali

2023

Stat., optim. inf. comput.

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The median problem is a basic model in location theory and transportation sciences. This problem deals with locating a facility on a network, to minimize the sum of weighted distances between the facility and the vertices of the network. In this paper, the cases that weights of vertices, edge lengths or both of them are grey numbers, are considered. For all these cases, we show that the set of vertices of network contains a solution of the median problem. This property is called vertex optimality. Median problem with grey parameters and its properties are first considered in this paper.

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“…The authors conducted an analysis of the mathematical model of linear programming. The review of the mathematical model of linear programming [17] applied to solve the problem of business management of entrepreneurs IDPs includes two studies of mathematical programming, the essential and important elements are duality theorems [18].…”

Section: Introductionmentioning

confidence: 99%

Аналіз Лінійної Моделі Як Методу Дорожньої Карти Покращення Соціального Забезпечення Внутрішньо Переміщених Осіб

Поляріна¹,

Akimova²

2022

ФКДПТП

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Abstract. In the process of counteracting the escalation of the military conflict with the Russian Federation and the escalation of the armed conflict, internal displacement from the borders of Donetsk and Luhansk oblasts was caused. The relevance of this study is guided by the origin and sustainability of the movement within the borders of Ukraine in 2021. In search of a landmark and sustainable adaptation, since 2014 our country has been able to successfully overcome barriers and obstacles. depressed. This encourages action not only to comply with the Minsk Protocol in the format of the "Quartet of Normandy", but also to address the needs of citizens in displacement, to save entire families with young children, disabled people, the disabled, retirees. The aim of the article is to analyze the map of problems to further improve the mechanism of adaptation and integration of internally displaced persons, as minimizing the occurrence of manifestations of maladaptation, is the basis for targeted intervention of host communities. Thorough acquaintance with the methodological principles of problem map analysis is the optimal component of the study. The article examines some specific phenomena in the economic, social, political spheres of the state to analyze the map of problems of internally displaced persons for the needs of appeals to host communities. The article examines the methodological provisions of the cause-and-effect relationship of difficulties at the stages of economic, social, political integration, which should become a typology of rapid response from the public space. Communication strategy and information support of social services are often missing. Lack of dialogue and communication skills among social workers and other stakeholders leads to the formation of a culture of dialogue for interaction with internally displaced persons. The article considers a map of problems in terms of the largest, general areas of optimization of host communities, a map of problems as a tool for comprehensive diagnosis, helps to build a chain of relationships, reflects situational analysis, and clearly shows the pain points of citizens in the local, regional, and national levels. Keywords: internally displaced persons, analysis, problem map, integration, communities, Donbass, industrial production index, private sector, mathematical model. JEL Classification: P 30 Fig.: 1, tabl.: 2, bibl.: 29

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A dual simplex method for grey linear programming problems based on duality results

Cited by 5 publications

References 20 publications

The Use of Intelligent Sensing Algorithm for Internet of Things and Hash Spatial Information Location Technology

The Use of Intelligent Sensing Algorithm for Internet of Things and Hash Spatial Information Location Technology

Grey Median Problem and Vertex Optimality

Аналіз Лінійної Моделі Як Методу Дорожньої Карти Покращення Соціального Забезпечення Внутрішньо Переміщених Осіб

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