2021
DOI: 10.1088/1742-6596/1804/1/012023
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A modified of FR method to solve unconstrained optimization

Abstract: There are many methods derived from the conjugate gradient method, the most famous of which is the FR method (Fletcher–Reeves). Most of the methods are found to solve large unconstrained optimization problems. In this paper, we made a modified to the FR method, so that it achieves better numerical results as well as the conditions of global convergence. The numerical experiment showed the efficiency and robustness of the new method.

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Cited by 22 publications
(6 citation statements)
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“…The authors introduced many papers in different fields of sciences such as reliability [13][14][15][16][17][18][19][20][21][22] and optimization [23][24][25][26][27][28][29][30][31][32][33], but in this work we suggest a technique to reduce the cost and maintain the flow. Inventory is usually formed as a result of market conditions, supply and demand, or because it is affected by the general economic situation.…”
Section: Inventory Managementmentioning
confidence: 99%
“…The authors introduced many papers in different fields of sciences such as reliability [13][14][15][16][17][18][19][20][21][22] and optimization [23][24][25][26][27][28][29][30][31][32][33], but in this work we suggest a technique to reduce the cost and maintain the flow. Inventory is usually formed as a result of market conditions, supply and demand, or because it is affected by the general economic situation.…”
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%
“…There are two types of graphs either simple or complex so that larger graphs contain more nodes and many other possibilities of sub graph can reach millions or billions making them, which is very difficult to get a MST [14,15]. In addition, the lengths are usually have different weights, that is one edge can be give 8 weight and a length of 5 meters while another edge of the same length can give 6 weights.…”
Section: Finding the Mstmentioning
confidence: 99%