Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm

This work is dedicated to the economic scheduling of the required electric stations in the upcoming 10-year long-term plan. The calculation of the required electric stations is carried out by estimating the yearly consumption of electricity over a long-time plan and then determining the required num...

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Main Authors: Said Ali Hassan, Khalid Alnowibet, Prachi Agrawal, Ali Wagdy Mohamed
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/6675741
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author Said Ali Hassan
Khalid Alnowibet
Prachi Agrawal
Ali Wagdy Mohamed
author_facet Said Ali Hassan
Khalid Alnowibet
Prachi Agrawal
Ali Wagdy Mohamed
author_sort Said Ali Hassan
collection DOAJ
description This work is dedicated to the economic scheduling of the required electric stations in the upcoming 10-year long-term plan. The calculation of the required electric stations is carried out by estimating the yearly consumption of electricity over a long-time plan and then determining the required number of stations. The aim is to minimize the total establishing and operating costs of the stations based on a mathematical programming model with nonlinear objective function and integer decision variables. The introduced model is applied for a real practical case study to conclude the number of yearly constructed stations over a long-term plan in the electricity sector in Jeddah City, Saudi Arabia. The current planning method is based only on intuition by constructing the same number of required stations in each year without searching for better solutions. To solve the introduced mathematical model, a novel recent gaining sharing knowledge-based algorithm, named GSK, has been used. The Augmented Lagrangian Method (ALM) is applied to transform the constrained formulation to become unconstrained with penalization to the objective function. According to the obtained results of the real case study, the proposed GSK with ALM approved an ability to solve this case with respect to convergence, efficiency, quality, and robustness.
format Article
id doaj-art-f823f09455e44c53805ac5f84f7165a3
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-f823f09455e44c53805ac5f84f7165a32025-02-03T05:52:25ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/66757416675741Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic AlgorithmSaid Ali Hassan0Khalid Alnowibet1Prachi Agrawal2Ali Wagdy Mohamed3Department of Operations Research and Decision Support, Faculty of Computers and Artificial Intelligence, Cairo University, Giza, EgyptCollege of Science, Department of Statistics and Operations Research, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, Hamirpur 177005, Himachal Pradesh, IndiaOperations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptThis work is dedicated to the economic scheduling of the required electric stations in the upcoming 10-year long-term plan. The calculation of the required electric stations is carried out by estimating the yearly consumption of electricity over a long-time plan and then determining the required number of stations. The aim is to minimize the total establishing and operating costs of the stations based on a mathematical programming model with nonlinear objective function and integer decision variables. The introduced model is applied for a real practical case study to conclude the number of yearly constructed stations over a long-term plan in the electricity sector in Jeddah City, Saudi Arabia. The current planning method is based only on intuition by constructing the same number of required stations in each year without searching for better solutions. To solve the introduced mathematical model, a novel recent gaining sharing knowledge-based algorithm, named GSK, has been used. The Augmented Lagrangian Method (ALM) is applied to transform the constrained formulation to become unconstrained with penalization to the objective function. According to the obtained results of the real case study, the proposed GSK with ALM approved an ability to solve this case with respect to convergence, efficiency, quality, and robustness.http://dx.doi.org/10.1155/2020/6675741
spellingShingle Said Ali Hassan
Khalid Alnowibet
Prachi Agrawal
Ali Wagdy Mohamed
Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm
Complexity
title Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm
title_full Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm
title_fullStr Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm
title_full_unstemmed Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm
title_short Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm
title_sort optimum scheduling the electric distribution substations with a case study an integer gaining sharing knowledge based metaheuristic algorithm
url http://dx.doi.org/10.1155/2020/6675741
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AT prachiagrawal optimumschedulingtheelectricdistributionsubstationswithacasestudyanintegergainingsharingknowledgebasedmetaheuristicalgorithm
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