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.
Thermal conductivity measurement was done for specimens of Polystyrene/ titanium dioxide, Polycarbonate/ titanium dioxide and Polymethylmetha acrylate/ titanium dioxide composites for weight ratio of 1.9/ 0.1 and 1.8/ 0.2 wt% for different thickness of the samples. The experimental results show that the thermal conductivity is increased with the increasing of thickness of layers and with the weight ratio of TiO2
The Recent days witness an in creasing importanc of Islamic Banks which stems from the wide spread in Islamic and non-Islamic countries,Especially in USA and European countries.the consideration in Islamic Banks came after the financial crisis in 2008.Islamic Banks work with conventional banks in most countries,that is,the formers may face the same risks which face the latters,that represent the larger percent of the International Banking system.the problms that may affect Islamic Banks related to many causes,some related to the working in common economic environment.others related to the possibility of simulation to the method of investment and financing in conventional Banks,this mean,the work with principles not compling with
... Show MoreA total of 45 voucher specimens of falcons which are deposited in the bird's collection of the Iraq Natural History Research Center and Museum (INHM) were reviewed. Mummified falcons were preserved as voucher study specimens and tagged with museum collection labels. In the current study, morphometrics of six species of the genus Falco Linnaeus, 1758: Lanner falcon F. biarmicus Temminck, 1825; Sacker Falcon F. cherrug Gray, 1834; Lesser Kestrel F. naumanni Fleischer, 1818; Peregrine Falcon F. peregrines Tunstall, 1771; Eurasian Hobby F. subbuteo Linnaeus, 1758 and Common Kestrel F. tinnunculus Linnaeus, 1758 were documented. These species were recorded previously in the ornithological literatures by several authors and deposited in t
... Show MoreOne of the rules concerning the control of civil transactions is the rule of no harm and harm, which was enacted by our Holy Prophet Muhammad (peace be upon him and his family). Scholars singled it out by research and investigation, and classified by non-scientists independent messages, showing the status of al-Qaeda in terms of its perception, meaning, branches and results, and the importance of this rule in the payment of damage and compensation for it has been provided by the Iraqi legislator generous within the provisions of Iraqi law in all its branches of public and private, as applied The judiciary Iraq The provisions of this rule have been issued and numerous decisions have been made to compensate for the damage and to give to ev
... Show MoreThe techniques of contemporary Iraqi painting and their reflection on the productions of students of art education is an important subject in the field of painting at the theoretical and practical levels in academic study, whether theoretical or practical. Al-Iraqi is one of the arts with historical roots and a distinguished position among other artistic genres. Painting has received a sufficient level of development through the use of various contemporary techniques to advance it for the better.
The methodological framework included the problem of research and the need for it, and then the importance of research came in shedding light on the techniques of contemporary Iraqi painting, and the impact of these techniques on the producti
Abstract
The miraculous of al-Quran has been surrounded by the attention of scholars, as it is the one that has astonished the rhetoricians with its eloquence. So , they paid attention to every part of it and hugely they studied it with accuracy in respect to its Surah ad Ayahs. It is considered the most important source from which Arab scholars and early grammarians drew, given their unanimity that it is the highest degree of eloquence and the best record of the common literary language.
Among these sciences is the science of Grammar, and without Qur’an, this science would not have emerged, which later had control over every science of Arabic
... Show MoreThis study examines the species composition, biodiversity, zoogeography, and ecology of freshwater gastropods of 12 springs in Andijan region of Uzbekistan. The study used generally accepted malacological, faunistic, ecological, analytical, and statistical methods. As a result of research in the springs, 14 species of freshwater gastropods belonging to 2 subclasses, 5 families, and 10 genera were recorded. 7 of them are endemic to Central Asia. When indicators of biodiversity of mollusks were analyzed according to the Shannon index, it was found that the highest value was recorded in the springs besides the hills. According to the biotope of distribution and bioecological features, they were divided into cryophilic, phytophilic, pelophil
... Show MoreA total of 45 voucher specimens of falcons which are deposited in the bird's collection of the Iraq Natural History Research Center and Museum (INHM) were reviewed. Mummified falcons were preserved as voucher study specimens and tagged with museum collection labels. In the current study, morphometrics of six species of the genus Falco Linnaeus, 1758: Lanner falcon F. biarmicus Temminck, 1825; Sacker Falcon F. cherrug Gray, 1834; Lesser Kestrel F. naumanni Fleischer, 1818; Peregrine Falcon F. peregrines Tunstall, 1771; Eurasian Hobby F. subbuteo Linnaeus, 1758 and Common Kestrel F. tinnunculus Linnaeus, 1758 were documented.
These species were recorded previously in the ornithological literatures by several authors and deposited in the
High‐quality factor