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.
The affliction is a remaining year and not a past incident, and the most evil people are the prophets - peace and blessings be upon them - and the most severe is the Imam of the Prophets Muhammad - may God bless him and grant him peace - because they are exposed to harm from their people because of their call to a religion that violates the religion of parents and grandparents, the religion of injustice and injustice And polytheism and disbelief, and therefore the Qur'an had attitudes towards the entertainment of the people of affliction in general and our beloved - peace be upon him - in particular, this research came about the entertainment of the Qur’an for the Prophet - may God bless him and grant him peace - and many areas of ente
... Show MoreThis research sheds light on the contributions of a group of scientific Kurdish scholars in the seventh and eighth Hijri centuries, who devoted themselves to serving science with the bad political and economic conditions at the time, and the research pointed to the flowering of science and how students travel in order to provide them with science, obtain a scientific certificate, then take up The research efforts of the scholars in the two Hijri century mentioned in the science of the Qur’an, whether in the field of recitations, intonation or interpretation, and the research ends with a conclusion in which I mentioned the most important conclusions reached in this research.
The study focuses on the problem that Iraq is approaching an increasing rate of literacy;the available data refers to a rate of (18% -19%). In addition to the fact that the generalcurrent role of the programs directed to literacy is not actually effective enough to limit the expansion of this rate.
The importance of this study highlights the fact that the Iraqi universities are an important tributary among the tributaries of human development, especially in spreading the education of the voluntary work in literacy field and confirming the connection between the students and their society and their role in solving one of the prominent challenges that face the development, i.e., literacy.
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... Show MoreConcert place high school in the community Keep pace with societal change and what is going through Iraqi society from the wars and occupation and the sectarian and ethnic conflict and authoritarian policies and Dictator ship .
This is the circumstance of the most important historical stages that require .
Precision sons is Keep up with the progress and development and the advancement of the educational march .
The school is a social institution that organizes the members of society all walks of life and their habitats working on crafting members of the extraordinary alve of progress At the multiplicity of functions and tasks school pequires members qualified scientific and practical Becomes complementary members seek progress a
Bridging the Gap between Graphemes and Phonemes in the Phonetic Transcription
The Main think that be kept by the speech communication as a concept traditionally being expressed on the subject or a certain idea of a goal came on as needed functional addressed to recipients of benefits or likely to benefit from those rhetorical message through a speech importance and priority of the effect of not less than the effect of that letter, in science content role ends once you absorb it mentally, either in the art of design Valamadmon intellectual embodied through its interaction with the overall shape of the finished design, and often content is associated in the mind of the receiver through a letter communicative linked to the sense or the goal that meant the designer, and try to identify and explain. And meaning i
... Show MoreThe present study was conducted on the Iraqi Pin-tailed Sandgrouse (Pterocles alchata) to study the lung's morphological description and histological structure. This study was used 5 samples of adult male sandgrouse bird. The birds were dissected. The lungs were removed from the coelomic cavity, cleaned to remove impurities, and photographed to describe their morphological features. The samples were fixed using formalin (10%) solution for 36-48 hours and then preserved in alcohol (70%) to prepare the microscopic slides. The results showed that the lung of the Iraqi sandgrouse bird is red in color, has a trapezoidal shape and has three surfaces (costal, visceral, and vertebral). The costal surface shows ribs impressions that extend f
... Show MoreJudaism followed the approach of monotheism after God Almighty sent Moses (peace be upon him) to convey to them the messages of their Lord, so that they might be on a right guidance and path, but the people did not follow that path.” Love of matter and faith in what is witnessed, so they portrayed the Lord in several images in line with what their souls drew upon them.
This study is at the heart of the pragmatic theory, as this research seeks to highlight the concept of necessity, and what the researchers have tended to do is that the development that has acquired integrated pragmatics is only for the development of the subject of necessity, as it is one of the contents of the saying, and this is what made Decroux define it as the semantic element that Concerning the saying, as for Grace; He paid great attention to the conversational imperative, and understood the requirement by clues or suggestions, as it is an element known for its absence and presence in the linguistic structures included in the text when reading or when understanding. This study has paved the way for clarifying the concept of necessi
... Show MoreModern critical theories revealed polemical views about the reality of the existence of communication - as a necessity for building a deliberative discourse - in the theater or not. To the theory of communication with all the conditions it imposes on thinking, interaction, and emancipation of selves in different contexts.
Therefore, the current research included four chapters, the first chapter dealt with the research problem, which was represented in (the philosophy of sensory and physical communication in theatrical performance), and the first chapter included the importance of the research, its goal and its limits, and ended with defining the terminology, and the second chapter included (theoretical framework) the first topic (ph