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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
Wed Jul 29 2020
Journal Name
Iraqi Journal Of Science
Biological Activities of Iraqi Fig (Ficuscarica) CrudeEthanolic and Total Flavonoids Extracts
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The present study focuses on the biological strategy for treating cancer and parasitic infections, such as leishmaniasis antiparasitic activity, forthe crude alcoholic extract ofFicus leaves and their extracted total flavonoids with a comparison between their effects.The flavonoids were extracted from the leaves of the mature Ficuscaricausing the reflux extraction method. Total flavonoids were detected qualitatively by TLC techniquewhich demonstratedthat the plant was rich indifferent flavonoids, especially Rutin, Quercetin, Kaempferol, luteolin and others. Quantitatively, the plant total flavonoids content was 337.3 mg / 100 g fig leaves calculated as rutin.The biologicaleffects of the crude and purified total flavonoi

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Publication Date
Tue Apr 20 2021
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The Galerkin-Implicit Methods for Solving Nonlinear Hyperbolic Boundary Value Problem
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This paper is concerned with finding the approximation solution (APPS) of a certain type of nonlinear hyperbolic boundary value problem (NOLHYBVP).  The given BVP is written in its discrete (DI) weak form (WEF), and is proved that  it has a unique APPS, which is obtained via the mixed Galerkin finite element method (GFE) with implicit method (MGFEIM) that reduces the problem to solve the Galerkin nonlinear algebraic system  (GNAS).  In this part, the predictor and the corrector technique (PT and CT) are proved convergent and are used to transform the obtained GNAS to  linear (GLAS ), then the GLAS is solved using the Cholesky method (ChMe). The stability and the convergence of the method are studied. The results

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Publication Date
Wed Nov 01 2023
Journal Name
The Saudi Dental Journal
Salivary lactate dehydrogenase and salivary total protein as potential biomarkers for screening periodontal disease
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Abstract Background: Timely diagnosis of periodontal disease is crucial for restoring healthy periodontal tissue and improving patients’ prognosis. There is a growing interest in using salivary biomarkers as a noninvasive screening tool for periodontal disease. This study aimed to investigate the diagnostic efficacy of two salivary biomarkers, lactate dehydrogenase (LDH) and total protein, for periodontal disease by assessing their sensitivity in relation to clinical periodontal parameters. Furthermore, the study aimed to explore the impact of systemic disease, age, and sex on the accuracy of these biomarkers in the diagnosis of periodontal health. Materials and methods: A total of 145 participants were categorized into three groups based

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Publication Date
Sat Feb 26 2022
Journal Name
Iraqi Journal Of Science
New Class of Rank 1 Update for Solving Unconstrained Optimization Problem: New Class of Rank 1 Update for solving Unconstrained Optimization Problem
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     The focus of this article is to add a new class of rank one of  modified Quasi-Newton techniques to solve the problem of unconstrained optimization by updating the inverse Hessian matrix with an update of rank 1, where a diagonal matrix is the first component of the next inverse Hessian approximation, The inverse Hessian matrix is  generated by the method proposed which is symmetric and it satisfies the condition of modified quasi-Newton, so the global convergence is retained. In addition, it is positive definite that  guarantees the existence of the minimizer at every iteration of the objective function. We use  the program MATLAB to solve an algorithm function to introduce the feasibility of

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Publication Date
Thu Dec 29 2016
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Solvent Extraction of Phenolic Compounds and Determination Total Phenolic Content from Teucrium Polium Plant
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       A direct solvent extraction was used for the determination of phenolic compounds from Teucrium polium . Methanol, ethanol, iso-propanol, butanol and D.W  were used as an extractants and study  the affecting extraction factors including : the type and solvent concentration, temperature, extraction time and number of batch extraction, by  using Folin-ciocalteu method to determine the Total Phenolic Content (TPC) and measurement of the absorbance at λmax 765nm. The accuracy and precision of this method were determined by preparing laboratory samples of Gallic acid , the results showed relative errors ranging from ±0.5 – 1.49 % and the standard deviation equal to 1.2

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Publication Date
Thu Dec 01 2022
Journal Name
Journal Of Engineering
Multi-Criteria Optimization for Governmental Projects Priority Ranking Depending on Fuzzified Experts’ Opinion using Hygiene Approach
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Each organization struggles to exploit each possible opportunity for gaining success and continuing with its work carrier. In this field, organization success can be concluded by fulfilling end user requirements combined with optimizing available resources usage within a specified time and acceptable quality level to gain maximum profit. The project ranking process is governed by the multi-criteria environment, which is more difficult for the governmental organization because other organizations' main target is maximizing profit constrained with available resources. The governmental organization should consider human, social, economic and many more factors. This paper focused on building a multi-criteria optimizing proje

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Publication Date
Tue Dec 05 2023
Journal Name
Baghdad Science Journal
Further Results on (a, d) -total Edge Irregularity Strength of Graphs
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Consider a simple graph   on vertices and edges together with a total  labeling . Then ρ is called total edge irregular labeling if there exists a one-to-one correspondence, say  defined by  for all  where  Also, the value  is said to be the edge weight of . The total edge irregularity strength of the graph G is indicated by  and is the least  for which G admits   edge irregular h-labeling.  In this article,   for some common graph families are examined. In addition, an open problem is solved affirmatively.

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Publication Date
Wed Mar 27 2013
Journal Name
Engineering And Technology Journal
Total and Matric Suction in Unsaturated Soil with the Existence of Different Salts Content
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Publication Date
Sat Jan 01 2022
Journal Name
Journal Of Pharmaceutical Negative Results
Total Oxidants, Lipid Peroxidation and Antioxidant Capacity in the Serum of Rheumatoid Arthritis Patients
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Publication Date
Wed May 18 2016
Journal Name
Al-academy
Metaphoric assimilation of the place and its total functioning in scenario: إيهاب ياسين طه
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Abstract: The study of the place is hardly a concern for most researchers in the art generally. It is hardly devoid of any movie of some configuration elements that are essential to him about and place one of them, and we find an echo location consists ago to begin screenwriter put Sightseeing begins features emerge there will be functioning simple scenario what would soon receive a growing Cummings final picture film. Metaphoric place begins to emerge in the form of linguistic scenario is soon to be translated in another language, the language of the image. Which in turn complement the creative process of this art and have a significant impact in terms of content and curriculum and installation in and it even to seek the true meaning fu

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