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 research aims to find out the relationship between the medical and nursing staffing and its impact on the quality of provided health service in the Yarmouk Teaching Hospital, and to understand the nature of the relationship between doctors and nurses, it has been the adoption of cooperation and conflict Kmngaran independent knowledge of the relationship between doctors and nurses and the quality of health service as a variable certified by eating five dimensions (tangibility, reliability, safety, responsiveness, empathy). The research was adopted to collect data on the questionnaire prepared medical and nursing to the angel and adopted included Likert Quintet her, and distributed to doctors working in the Yarmouk hospital in
... Show MoreIn this research entitled "Internal music in the poetry of guidance in the era of Islam and its artistic and semantic implications" dealt with the following:
Preface, which addressed the importance of internal music in poetry, and its close association with poetry, and the poet himself, to reveal what is touring himself and revolves in his imagination.
Repetition of all kinds: repetition of letters, repetition of words, and repetition of phrases: It showed what this repetition of strengthening the melody, and linking parts of words within the same house, or the poem, and create a special musical atmosphere to spread a certain significance and to confirm the meanings and accompanied by musical accommodation.
Anaphysic
The effect of ethanol and methanol solvent, and their mixture has been studied on the absorption and fluorescence spectra of laser dye Rhodamine B at concentration of (10-4) Molar at room temperature. The molar absorption coefficient has been determined for mixture which was (3.223) at wave number (18181.8 cm-1), Also the Quantum Efficiency of the two solvents (ethanol and methanol) and their mixture have been calculated ,which was for mixture spectrum (38.94%) and it was larger comparing with other and solvents. The characteristics of spectrum has been determined by calculating (??) of absorption spectrum for the solvents and its mixture at maximum wave number ( ) cm-1 depending on solvent polarity and the transitions between molecular ene
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