2021
DOI: 10.1088/1742-6596/1818/1/012101
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Using a New Projection Approach to Find the Optimal Solution for Nonlinear Systems of Monotone Equation

Abstract: There are many algorithms are used to solve systems of nonlinear monotone equations with various advantages and disadvantages, including the line search algorithm, trust region algorithm, projection algorithm and others. In this paper we used a new projection algorithm to solve these systems. The projection methods are considered one of the effective free derivative methods to solve systems of nonlinear monotone equations. The framework of this method is that the current iterate is separated strictly from the … Show more

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Cited by 17 publications
(4 citation statements)
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“…problems in various fields of sciences such as optimization , reliability [27][28][29][30][31][32][33][34][35][36], and operations research [37][38][39][40][41][42][43]. The following are the fundamental phases in this method:…”
Section: Proposed Methods (Arithmetic Mean Method)mentioning
confidence: 99%
“…problems in various fields of sciences such as optimization , reliability [27][28][29][30][31][32][33][34][35][36], and operations research [37][38][39][40][41][42][43]. The following are the fundamental phases in this method:…”
Section: Proposed Methods (Arithmetic Mean Method)mentioning
confidence: 99%
“…• The higher of the inventory volume, the higher of the costs, and to reduce the cost of holding inventory requires reducing the volume of inventory. • The balance between the two previous goals is done by determining the optimal size of the stock, through consistency between the returns and costs resulting from the operations of keeping the stock [38,39].…”
Section: Inventory Managementmentioning
confidence: 99%
“…The authors introduced many papers in various types of sciences such as optimization [14][15][16][17][18][19][20][21][22][23][24], operation research [25][26][27][28][29][30][31][32][33], and reliability [34][35][36][37][38][39][40][41][42][43], but in this work we propose a technique to improve the most likely estimate time for any project where we get less weight to estimate the time weighted of 2 instead of 4 for distributors while estimates of time pessimistic and optimistic weight of 1 because we see that giving weight 2 instead of 4 gives reasonable results, closer to reality, and appropriate degree of reliability. As well as to reduce the complete time of the project with achieve the desired goals and achieve results less than the estimated time obtained by the classic methods.…”
Section: Improvement Time Estimatementioning
confidence: 99%