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Solving the multi-criteria: total completion time, total late work, and maximum earliness problem
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Within this research, The problem of scheduling jobs on a single machine is the subject of study to minimize the multi-criteria and multi-objective functions. The first problem, minimizing the multi-criteria, which include Total Completion Time, Total Late Work, and Maximum Earliness Time (∑𝐶𝑗, ∑𝑉𝑗, 𝐸𝑚𝑎𝑥), and the second problem, minimizing the multi-objective functions ∑𝐶𝑗 + ∑𝑉𝑗 +𝐸𝑚𝑎𝑥 are the problems at hand in this paper. In this study, a mathematical model is created to address the research problems, and some rules provide efficient (optimal) solutions to these problems. It has also been proven that each optimal solution for ∑𝐶𝑗 + ∑𝑉𝑗 + 𝐸𝑚𝑎𝑥 is an efficient solution to the problem (∑𝐶𝑗, ∑𝑉𝑗, 𝐸𝑚𝑎𝑥). Because these problems are NP-hard problems so it is difficult to determine the efficient (optimal) solution set for these problems so some special cases are shown and proven which find some efficient (optimal) solutions suitable for the discussed problem, and highlight the significance of the Dominance Rule (DR), which can be applied to this problem to enhance efficient solutions.

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Publication Date
Thu Jul 17 2025
Journal Name
Al–bahith Al–a'alami
THE RESPONSIBILITY OF INDEPENDENT IRAQI NEWSPAPERS IN PROMOTING THE VALUES OF CITIZENSHIP AND NATIONAL BELONGING IN THE SOCIETY: (An Analytical Study in the Opinion Articles in the Newspapers of Al-Sabah Al-Jadeed and Al-Mada)
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The research problem stems from a chief question: “What is the nature of the responsibility that «Al-Sabah Al-Jadeed» and «Al-Mada» Newspapers have undertaken in promoting the values of citizenship and national belonging in the society? The research aims to achieve a number of goals, including: Determining the most prominent themes that were emphasized in the opinion articles in these two newspapers within the framework of the responsibility of promoting the values ​​of citizenship and national belonging in society, and revealing the most prominent topics that were discussed in opinion articles in the two sample newspapers regarding the promotion of the mentioned values. This research is a desc

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Publication Date
Sun May 10 2015
Journal Name
Al-academy
The system and Disorder of shape and content in Interior Design Educational halls in the Ministry of Labor and Social Affairs (Analytical study): Ψ±Ψ¬Ψ§Ψ‘ سعدي لفΨͺΨ©
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Dealing with this study to find a link principle in the construction of the system and disorder to the promise of the principles and concepts of intellectual and philosophical form and content in the act of interior design of the halls education in the Ministry of Labor and Social Affairs , which leads to a reaction design objective and functionally and to increase the strength of the effect on users of the coaches and trainers . As it informs the side cognitive and developmental study of the design of the interior spaces . So it was the goal of research in the detection of the nature of the system and disorder with Focus indicators and the type of regulations and privacy and what constitutes the framework of knowledge in order to explai

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Publication Date
Sun May 01 2022
Journal Name
International Journal Of Early Childhood Special Education (int-jecs)
Study of some visual functions and functional variables of the respiratory and nervous systems and their relationship to the level of achievement of air rifle shooting
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The purpose of this paper is to identifying the relationship between some visual functions and the level of achievement of air rifle shooting among young Iraqi female, and identifying the relationship between some functional variables of the respiratory and nervous systems at the level of achievement of air rifle shooting among young Iraqi female. The researchers used the descriptive approach in the correlative relationships style for its suitability and the research problem. The researchers determined the research community by the intentional method represented by (10) young female shooters who represent the national team with air rifle shooting effectiveness, and who represent (100%) of the research community. One of the most important re

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Publication Date
Fri Nov 11 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The role of auditing in analyzing the relationship between the governance of investment policy and the cost of debt and its reflection on the continuity of the institution: (Ψ¨Ψ­Ψ« ΨͺΨ·Ψ¨ΩŠΩ‚ΩŠ في ΨΉΩŠΩ†Ψ© Ω…Ω† Ψ§Ω„Ψ΄Ψ±ΩƒΨ§Ψͺ Ψ§Ω„Ω…Ψ―Ψ±Ψ¬Ψ© في Ψ³ΩˆΩ‚ Ψ§Ω„ΨΉΨ±Ψ§Ω‚ Ω„Ω„Ψ£ΩˆΨ±Ψ§Ω‚ Ψ§Ω„Ω…Ψ§Ω„ΩŠΨ©)
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The research aims to determine the effectiveness of auditing in light of the relationship between the governance of investment policy and the cost of debt in companies listed on the Iraqi Stock Exchange. The problem of the research is to raise the question about the effect of the governance of investment policy and the cost of debt on the effectiveness of auditing and auditors. During the research, the most important of them were: the existence of an impact relationship on the effectiveness of auditing through the relationship between the governance of investment policy and the cost of debt. The companies listed in the Iraqi Stock Exchange lack an effective proposed guide or framework dealing with the governance of investment policy desp

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Publication Date
Wed Nov 22 2017
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
THE EFFECT OF FERMENTATION AND BAKING PROCESSES ON THE PHYATE DEGRADATION DURING THE PROCESS OF MANUFACTURING WHOLE WHEAT FLOUR BREAD.: THE EFFECT OF FERMENTATION AND BAKING PROCESSES ON THE PHYATE DEGRADATION DURING THE PROCESS OF MANUFACTURING WHOLE WHEAT FLOUR BREAD.
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In this research, the influence of the fermentation treatments and baking in Iraqi’s flour type (Ibaa 99, Al-rashed, Tamus, Abu-grabe) and Turkish flour type (Muaamel) on phytic acid was investigated. In whole wheat flour, the phytic acid was (1500, 1290, 1450, 1230, 1440 ( mg/ 100 g flour respectively, and the inorganic phosphorous was (29.18, 25.15, 23.89, 20.85, 22.83) mg/100 g flour respectively. The dough prepared from flour with a higher phytic acid content also contained higher amount of phytic acid. During fermentation, degradation of phytic acid occurred. The cumulative loss of phytic acid after fermentation in all type of dough was ~ 23, 22, 34, 26 and 27% respectively،While increased of inorganic phosphorous occurred. The c

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Publication Date
Tue Jan 31 2017
Journal Name
Journal Of Engineering
The Effect of The Utilitarian Need For the High Water Tanks Towers to Sustain Life in the City
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      The service system has become a necessity of life in modern cities to be the most basic necessities of modern humans, they constitute a major base, which is based on the sustainability of life in the city and a standard measured through the degree of well-being and progress of civilized peoples and their interaction with the surrounding environment, making the services sector as a need not be an option, whenever the cities widened in population and space whenever provision of services and upgrading the quality and quantity more pressing, which made the subject of the services takes the biggest area of the trends and thinking of urban planners and those who in charge of drawing the cities policies. Consideri

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Publication Date
Mon Apr 28 2025
Journal Name
Ω…Ψ¬Ω„Ψ© ΨΉΩ„ΩˆΩ… Ψ§Ω„Ψ±ΩŠΨ§ΨΆΨ©
Building and codifying the Icelandic scale for coaches from the perspective of the aspirations of the Iraqi Premier League volleyball clubs
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The research aims: to build a measure of the cognitive competence of coaches from the point of view of players of Iraqi Premier League volleyball clubs and extract scores and standard levels for it. In order to achieve the objectives of the research, the descriptive method was used using the survey method. As for the research sample, it was chosen intentionally, and was represented by volleyball players for the Premier League 2024-2025. The sample was divided into exploratory, constructive, and standardizing, and starting the construction procedures, which included finding the scientific foundations for the scale, in addition to extracting the modified standard score and levels for the sample of the main experiment for standardization. Amou

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Publication Date
Fri Feb 09 2024
Journal Name
Eximia
The reality of the moral climate and its relationship to the decision-making of boxing referees from the standpoint of coaches
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The purpose of this paper is to identifying the relationship between the moral climate and the decision-making of boxing referees from the standpoint of the coaches, and the research problem lies through the work of the researchers in training and managing the teams. It was noted that the role of the referees is one of the most important roles played by the workers to achieve the objectives of the federation, and that the moral climate that prevails among the administrative body the union and the referees on the one hand and between the referees and coaches on the other hand are among the factors of the success of everyone’s work and the survival and strengthening of confidence in their work and thus the continuity of success and

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Publication Date
Fri Mar 02 2018
Journal Name
Alustath Journal For Human And Social Sciences
The Relationship Between Spatial Ability And The Physical Structure of concepts to The Students of The College of Education for Pure
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          The research aims to identify the relationship between spatial ability  and the physical structure of concepts to the students of the Faculty of Education for Pure Sciences / Ibn al-Haitham، research involved students from the third class / morning study for the year 2011/2012  totaling (98) male and female students ،distributed into three groups which were selected randomly . The number of students (26 males and females)  represented research sample after excluding repeaters and absentees، the research included two tests ; one test of spatial ability، which included (20) items and other test the physical structure of concepts، which included (12) items distributed into four domains ، the first (linking b

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Crossref
Publication Date
Sat Aug 01 2020
Journal Name
International Journal Of Psychosocial Rehabilitation
Building and legalizing a test for evaluating the tactical learning of the footwork for the foil fencer in the fencing game
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AA wahid, journal mustansiriyah of sports science, 2023

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