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Solving tri-criteria: total completion time, total late work, and maximum earliness by using exact, and heuristic methods on single machine scheduling problem
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The presented study investigated the scheduling regarding  jobs on a single machine. Each  job will be processed with no interruptions and becomes available for the processing at time 0. The aim is finding a processing order with regard to jobs, minimizing total completion time , total late work , and maximal tardiness  which is an NP-hard problem. In the theoretical part of the present work, the mathematical formula for the examined problem will be presented, and a sub-problem of the original problem of minimizing the multi-objective functions  is introduced. Also, then the importance regarding the dominance rule (DR) that could be applied to the problem to improve good solutions will be shown. While in the practical part, two exact methods are important; a Branch and Bound algorithm (BAB) and a complete enumeration (CEM) method are applied to solve the three proposed MSP criteria by finding a set of efficient solutions. The experimental results showed that CEM can solve problems for up to  jobs. Two approaches of the BAB method were applied: the first approach was BAB without dominance rule (DR), and the BAB method used dominance rules to reduce the number of sequences that need to be considered. Also, this method can solve problems for up to , and the second approach BAB with dominance rule (DR), can solve problems for up to  jobs in a reasonable time to find efficient solutions to this problem. In addition, to find good approximate solutions, two heuristic methods for solving the problem are proposed, the first heuristic method can solve up to  jobs, while the second heuristic method can solve up to  jobs. Practical experiments prove the good performance regarding the two suggested approaches for the original problem. While for a sub-problem the experimental results showed that CEM can solve problems for up to  jobs, the BAB without dominance rule (DR) can solve problems for up to , and the second approach BAB with dominance rule (DR), can solve problems for up to  jobs in a reasonable time to find efficient solutions to this problem. Finally, the heuristic method can solve up to jobs. Arithmetic results are calculated by coding (programming) algorithms using (MATLAB 2019a)  

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Publication Date
Fri Jan 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Improved Runge-Kutta Method for Oscillatory Problem Solution Using Trigonometric Fitting Approach
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This paper provides a four-stage Trigonometrically Fitted Improved Runge-Kutta (TFIRK4) method of four orders to solve oscillatory problems, which contains an oscillatory character in the solutions. Compared to the traditional Runge-Kutta method, the Improved Runge-Kutta (IRK) method is a natural two-step method requiring fewer steps. The suggested method extends the fourth-order Improved Runge-Kutta (IRK4) method with trigonometric calculations. This approach is intended to integrate problems with particular initial value problems (IVPs) using the set functions  and   for trigonometrically fitted. To improve the method's accuracy, the problem primary frequency  is used. The novel method is more accurate than the conventional Runge-Ku

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Publication Date
Wed Dec 30 2020
Journal Name
Al-kindy College Medical Journal
The immediate and late results for balloon angioplasty of native coarctation of aorta in pediatrics age group
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Background: percutaneous balloon dilation of corotation of aorta is a less invasive and alternative to surgical repair for patients with discrete coaction of aorta and although the used of balloon angioplasty in patients with recurrent postoperative coarctation gained a wide consensus, the use this technique for native coarctation is still controversial in children less one years. 

Objective: to evaluate the immediate and late result of balloon dilation of native coarctation of aorta in infant and children.

Type of the study: A prospective study. 

Subjects & Methods: The study was done on forty-five patients who were referred for cardiac catheterization and balloon

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Publication Date
Fri May 01 2020
Journal Name
Iraqi Geological Journal
RESERVE ESTIMATION OF LATE MIOCENE INJANA CLAYSTONE BEDS FOR PORTLAND CEMENT AND BRICK INDUSTRY, MIDDLE OF IRAQ
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Publication Date
Fri Jun 01 2012
Journal Name
Journal Of Engineering
Comparative Biosorption Of Pb(II), Cr(III) AND Cd(II) Ions In Single Component System By Live And Dead Anaerobic Biomass, Bath Study
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In this study, dead and live anaerobic biomass was used in biosorption of Pb(II), Cr(III) and Cd(II) ions from a synthetic wastewater. The biosorption was investigated by batch adsorption experiments. It was found that, the biosorption capacities were significantly affected by biosorbent dosage. The process follows Langmuir isotherm (regression coefficient 0.995, 0.99 and 0.987 for Pb(II), Cr(III) and Cd(II) ions, respectively, onto dead anaerobic biomass) model with uniform distribution over the biomass surface. The experimental uptake capacity was 51.56, 29.2 and 28 mg/g for Pb(II), Cr(III) and Cd(II), respectively, onto dead anaerobic biomass, compared with 35, 13.6 and 11.8 mg/g for Pb(II), Cr(III) and Cd(II), respectively, onto live

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Publication Date
Mon Oct 01 2018
Journal Name
Iraqi Journal Of Physics
Preparation single layer of (MgO) as antireflection coating using PLD technique
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In this work preparation of antireflection coating with single layer of MgO using pulsed laser deposition (PLD) method which deposit on glass substrate with different thicknesses (90 and 100) nm annealed at temperature 500 K was done.
The optical and structural properties (X-ray diffraction) have been determined. The optical reflectance was computed with the aid of MATLAB over the visible and near infrared region. Results shows that the best result obtained for optical performance of AR'Cs at 700 shots with thickness 90 nm nanostructure single layer AR'Cs and low reflection at wavelength 550 nm.

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Publication Date
Sat Aug 01 2015
Journal Name
Journal Of Engineering
A Real-Time Fuzzy Load Flow and Contingency Analysis Based on Gaussian Distribution System
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Fuzzy logic is used to solve the load flow and contingency analysis problems, so decreasing computing time and its the best selection instead of the traditional methods. The proposed  method is very accurate with outstanding computation time, which made the fuzzy load flow (FLF) suitable for real time application for small- as well as large-scale power systems. In addition that, the FLF efficiently able to solve load flow problem of ill-conditioned power systems and contingency analysis. The FLF method using Gaussian membership function requires less number of iterations and less computing time than that required in the FLF method using triangular membership function. Using sparsity technique for the input Ybus sparse matrix data gi

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Publication Date
Tue Apr 29 2025
Journal Name
Modern Sport
Time out in basketball and it effect on playing for excellent degrees in Iraq
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The value of time out as a time not count of official time form the game like four periods and extra time also it considered a great interest if used well thru the game , the importance of this problem is not using well the time out and when the coach ask for time out and how to invest this time legally to make good results also there is no observing system as the researcher see gives the reality image that the coach is successful lead the game when he takes time out . The goals of research that knowing on numbers of time out for excellent teams in Iraq (first &second) stages and putting special inventory reverse reality of asking time out (positive &negative) on playing basketball , the hypothesis of research that tell the time out effect

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Publication Date
Fri Jul 01 2022
Journal Name
Iop Conference Series: Earth And Environmental Science
Studying Some Technical Indicators of the Local Manufactured Machine and Its Effect on the Wheat Crop “Tamuz cultivar”
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Abstract<p>The effect of compound machine on wheat "Tamuz cultivar" was studied based on some technical indicators which were tested under three practical speed (PS) of 2.015, 3.143, and 4.216 km.hr-1 and three tillage depth (TD) of 11, 13, and 15cm. The split-split plot arrangement in RCBD with three replications was used. The results showed that the PS of 2.015km.hr-1 was major best than other two speed in all studied conditions, physical properties (SBD and TSP), mechanical parameters (FD, (DP and LAS), and yield and growth parameters (PVI, BY and HI). The TD of 11cm was major effect to the other two levels TD of 13 and TD of 15cm in all studied conditions. All interactions were significant, </p> ... Show More
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Publication Date
Fri Jul 01 2022
Journal Name
Iop Conference Series: Earth And Environmental Science
Studying Some Technical Indicators of the Local Manufactured Machine and Its Effect on the Wheat Crop “Tamuz cultivar”
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Abstract<p>The effect of compound machine on wheat "Tamuz cultivar" was studied based on some technical indicators which were tested under three practical speed (PS) of 2.015, 3.143, and 4.216 km.hr-1 and three tillage depth (TD) of 11, 13, and 15cm. The split-split plot arrangement in RCBD with three replications was used. The results showed that the PS of 2.015km.hr-1 was major best than other two speed in all studied conditions, physical properties (SBD and TSP), mechanical parameters (FD, (DP and LAS), and yield and growth parameters (PVI, BY and HI). The TD of 11cm was major effect to the other two levels TD of 13 and TD of 15cm in all studied conditions. All interactions were significant, </p> ... Show More
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Publication Date
Wed Sep 01 2021
Journal Name
Baghdad Science Journal
On Comparison Study between Double Sumudu and Elzaki Linear Transforms Method for Solving Fractional Partial Differential Equations
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        In this paper, double Sumudu and double Elzaki transforms methods are used to compute the numerical solutions for some types of fractional order partial differential equations with constant coefficients and explaining the efficiently of the method by illustrating some numerical examples that are computed by using  Mathcad 15.and graphic in Matlab R2015a.

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