A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model
The real network organizational structure is constantly under the influence of external influences, which can cause unexpected consequences due to the cascading spread of relevant disturbances directed at critically important parameters. Parametric sensitivity analysis is the latest computational pr...
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| Мова: | Ukrainian |
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Інститут проблем реєстрації інформації НАН України
2024
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оптимізаційне моделювання потокова оптимізація максимальний потік мережею математичне програмування мережеві організаційні структури Management Science Decision making Excel Solver Spreadsheet Modeling and Analytics optimization modeling flow optimization maximum network flow mathematical programming network organizational structures Management Science Decision Making Excel Solver Spreadsheet Modeling and Analytics |
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оптимізаційне моделювання потокова оптимізація максимальний потік мережею математичне програмування мережеві організаційні структури Management Science Decision making Excel Solver Spreadsheet Modeling and Analytics optimization modeling flow optimization maximum network flow mathematical programming network organizational structures Management Science Decision Making Excel Solver Spreadsheet Modeling and Analytics Додонов, О. Г. Кузьмичов , А. І. A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model |
| topic_facet |
оптимізаційне моделювання потокова оптимізація максимальний потік мережею математичне програмування мережеві організаційні структури Management Science Decision making Excel Solver Spreadsheet Modeling and Analytics optimization modeling flow optimization maximum network flow mathematical programming network organizational structures Management Science Decision Making Excel Solver Spreadsheet Modeling and Analytics |
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Article |
| author |
Додонов, О. Г. Кузьмичов , А. І. |
| author_facet |
Додонов, О. Г. Кузьмичов , А. І. |
| author_sort |
Додонов, О. Г. |
| title |
A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model |
| title_short |
A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model |
| title_full |
A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model |
| title_fullStr |
A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model |
| title_full_unstemmed |
A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model |
| title_sort |
quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model |
| title_alt |
Кількісне оцінювання функціональної стійкості мережевих структур за параметричною чутливістю оптимізаційної моделі |
| description |
The real network organizational structure is constantly under the influence of external influences, which can cause unexpected consequences due to the cascading spread of relevant disturbances directed at critically important parameters. Parametric sensitivity analysis is the latest computational procedure, the results of which provide the researcher with an idea and quantitative assessment of the appropriate response of the structure in the form of an analytical platform as a composition and interaction of scenario analysis, cascade process development and optimization modeling technology. The main task is timely adaptation to expected changes.
Network structures are a widespread form of organizational, business and industrial activities, network models of relevant objects/processes are based on mathematical, informational and computational foundations, which is an important component of higher education and the practice of general and special management and business analytics.
Examples of two typical problems of flow optimization are given: about network flows of minimum cost and about maximum flow through the network, where such a platform is built, which is used to predict the behavior of the structure and its components according to the sequential change of the influencing resource and the formation of management decisions. The maximum flow problem is an example of the active and effective application of methods and models of flows optimization, where the processes and objects used a network organization, the energy systems and complexes are investigated, arc parameters are critical in its model. In the work, for these classic optimization problems, mathematical and spreadsheet models were built on concrete examples, direct and dual mathematical programming problems were solved, the following stages were carried out - the organization of a computer experiment and the construction of an analytical platform for evaluating the behavior of the network structure under the influence of external influences and disturbances as their consequences. To take into account the specific conditions of real objects with a network structure at the stage of modification, the model is supplemented with appropriate restrictions and correction of input data sets. The obtained results could be useful for planning and management personnel and top-management for discussion and decision-making regarding, for example, the optimal placement of energy equipment, the weighted distribution of energy flows in the «source-sink» system or the appointment of executors for work, automated project management using project networks, etc. Tabl.: 7. Fig.: 4. Refs: 11 titles. |
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Інститут проблем реєстрації інформації НАН України |
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2024 |
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http://drsp.ipri.kiev.ua/article/view/308507 |
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drspiprikievua-article-3085072024-09-22T23:29:15Z A quantitative assessment of the network structures functional resilience by analyzing of the sensitivity of an optimization model Кількісне оцінювання функціональної стійкості мережевих структур за параметричною чутливістю оптимізаційної моделі Додонов, О. Г. Кузьмичов , А. І. оптимізаційне моделювання, потокова оптимізація, максимальний потік мережею, математичне програмування, мережеві організаційні структури, Management Science, Decision making, Excel Solver, Spreadsheet Modeling and Analytics optimization modeling, flow optimization, maximum network flow, mathematical programming, network organizational structures, Management Science, Decision Making, Excel Solver, Spreadsheet Modeling and Analytics The real network organizational structure is constantly under the influence of external influences, which can cause unexpected consequences due to the cascading spread of relevant disturbances directed at critically important parameters. Parametric sensitivity analysis is the latest computational procedure, the results of which provide the researcher with an idea and quantitative assessment of the appropriate response of the structure in the form of an analytical platform as a composition and interaction of scenario analysis, cascade process development and optimization modeling technology. The main task is timely adaptation to expected changes. Network structures are a widespread form of organizational, business and industrial activities, network models of relevant objects/processes are based on mathematical, informational and computational foundations, which is an important component of higher education and the practice of general and special management and business analytics. Examples of two typical problems of flow optimization are given: about network flows of minimum cost and about maximum flow through the network, where such a platform is built, which is used to predict the behavior of the structure and its components according to the sequential change of the influencing resource and the formation of management decisions. The maximum flow problem is an example of the active and effective application of methods and models of flows optimization, where the processes and objects used a network organization, the energy systems and complexes are investigated, arc parameters are critical in its model. In the work, for these classic optimization problems, mathematical and spreadsheet models were built on concrete examples, direct and dual mathematical programming problems were solved, the following stages were carried out - the organization of a computer experiment and the construction of an analytical platform for evaluating the behavior of the network structure under the influence of external influences and disturbances as their consequences. To take into account the specific conditions of real objects with a network structure at the stage of modification, the model is supplemented with appropriate restrictions and correction of input data sets. The obtained results could be useful for planning and management personnel and top-management for discussion and decision-making regarding, for example, the optimal placement of energy equipment, the weighted distribution of energy flows in the «source-sink» system or the appointment of executors for work, automated project management using project networks, etc. Tabl.: 7. Fig.: 4. Refs: 11 titles. Наведено типову задачу потокової оптимізації — про максимальний потік мережею, для якої розроблено аналітичну платформу щодо прогнозування поведінки організаційної структури та її складових за послідовною зміною значення ресурсу як параметра. Побудовано математичну та табличну моделі, розв’язано пряму та двоїсту задачі математичного програмування, організовано комп’ютерний експеримент оцінювання поведінки мережевої структури під впливом зовнішніх збурень. Отримані результати мають стати в нагоді планово-управлінському персоналу та топ-менеджменту з їхнього обговорення та прийняття рішень щодо зваженого розподілу енергетичних потоків у системі «джерела-стоки», призначення виконавців на роботи чи автоматизованого управління проектами. Інститут проблем реєстрації інформації НАН України 2024-05-21 Article Article application/pdf http://drsp.ipri.kiev.ua/article/view/308507 10.35681/1560-9189.2024.26.1.308507 Data Recording, Storage & Processing; Vol. 26 No. 1 (2024); 55-66 Регистрация, хранение и обработка данных; Том 26 № 1 (2024); 55-66 Реєстрація, зберігання і обробка даних; Том 26 № 1 (2024); 55-66 1560-9189 uk http://drsp.ipri.kiev.ua/article/view/308507/301812 Авторське право (c) 2024 Реєстрація, зберігання і обробка даних |