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)
In mammals, the kidneys originate in an embryo from the mesoderm through three excretory organs, namely: Pronephros, Mesonephros, and Metanephros. After the formation of Metanephros is completed, the kidneys begin to form nephrogenesis through mesenchymal cells located at the tip of the ureteric bud, that contribute in the formation of glomerulus and Renal tubules. The stages of glomerulus formation in the embryo of albino mice at the age of 14 to 19 days of gestation were studied. It was obtained after the sacrifice of the expectant mother and the kidneys were excised from the embryos and fixed using Aqueous Bouin's solution, Microscopic slices with a thick
... Show MoreBackground: Acute myocardial infarction
(AMI) is one of the most common diagnoses
in hospitalized patients. The stimulus that
initiates the acute inflammatory process in AMI
has not been identified. Conventional risk
factors account only for approximately half of
the patients with clinically apparent
atherosclerosis which can leads to AMI.
Recently a potential link between infectious
agents and atherosclerosis has been suggested
Objective: To find a possible association
between Helicobacter pylori (H. Pylori)
infection and AMI.
Method: We studied the prevalence of antiH. pylori antibodies in 94 patients who were
admitted with the diagnosis of AMI and a
similar number of healthy individuals w
Suppose R has been an identity-preserving commutative ring, and suppose V has been a legitimate submodule of R-module W. A submodule V has been J-Prime Occasionally as well as occasionally based on what’s needed, it has been acceptable: x ∈ V + J(W) according to some of that r ∈ R, x ∈ W and J(W) an interpretation of the Jacobson radical of W, which x ∈ V or r ∈ [V: W] = {s ∈ R; sW ⊆ V}. To that end, we investigate the notion of J-Prime submodules and characterize some of the attributes of has been classification of submodules.
The research deals with the global ceramic achievement within the international forums in the past decades. As follows، showing and presenting the aesthetic and intellectual values leading to common constants that establish international artistic studies that achieve the purpose of circulation and marketing of artworks. Contemporary global plastic art has witnessed a number of technical and social transformations and changes at the technical and pragmatic levels under the pressure of the changing and accelerating tide towards technical، cognitive، social and cultural concepts.
The second chapter came to the first topic: deliberative and commoditization، and the second topic: the deliberativeness of contemporary global ceramics.
Ectopic growth of normal cells or debris originating from endometrium, the inner layer of female reproductive tube leads to endometriosis. The main symptoms are dyspareunia, dysmenorrhea, and sometimes chronic pelvic pain. Unfortunately, it has no cure or treatment, only symptoms relief medication or surgical removal. Endometriosis causes estrogen imbalance leading to intestinal bacterial estrobolome dysregulation and subsequent change in immune response. Our study aims to investigate the linkage between gut dysbiosis and immunological response in endometriotic mice. Balb/c mice were ovariectomized (OVX) 7 days before intraperitoneal transplantation of 2mm2 endometrial tissue from OVX
Degradation of soil quality is an inevitable consequence of modifications to the characteristics of the soil that contribute to a decrease in ecosystem services. Numerous stressors, including chemical, biological, and physical ones, as well as those originating from both natural and artificial sources. The most prevalent kind of soil contamination that contaminates soil biota is agrochemicals. Soil is the most common place for xenobiotic dumping, which makes it the most probable source of other natural resources' pollution, such as surface and ground waters, based on the results of several studies. The danger to the environment posed by polluted soils is influenced by a variety of biological and physicochemical mechanisms that regulate the
... Show MoreThe research aims to explain the stage of recording Qur’anic readings in the blogs and writings of other sciences until it reached an independent, integrated science based on its principles, for which separate books were devoted to it, because of the necessity of highlighting that stage in which the science of Qur’anic readings overlapped with the blogs of other sciences. Because it relates to the gradual maturity of this science and its historical paths, the goal of the research is achieved by answering questions, the most important of which are: What are the science records in which Quranic readings were found, and what are the books that were unique to writing about this science. The researcher followed the inductive and desc
... Show MoreThis research deals with the financial reporting for non-current assets impairment from the viewpoint of international accounting standards, particularly IAS 36 "Impairment of non-current assets." The research problems focus on the presence of internal and external indicators on impairment of non-current assets in many of companies listed in Iraqi stock exchange. So it is required to apply IAS 36 to reporting for the impairment loss of assets since this impairment impact certain financial indicators. These indicators help users in their decision-making and forecasting future financial situation and the ability of the company to achieve future profits or maintain current profits. The research aims to shedding lig
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