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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
Tue Jan 02 2024
Journal Name
Turkish Archives Of Pediatrics
Evaluation of Decayed, Missing Due to Caries, and Filled Teeth Index in Children with Phenylketonuria in Comparison to Normal Population
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Publication Date
Tue Mar 25 2025
Journal Name
Italian Journal Of Medicine
Cytokine profile in COVID-19 infection: focus on interleukin-13, interleukin-33, and tumor necrosis factor-Ξ± as immunological markers
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COVID-19 is a pandemic disease that has a wide spectrum of symptoms from asymptomatic to severe fatal cases due to hyperactivation of the immune system and secretion of pro-inflammatory cytokines. This study aimed to assess the level and impact of interleukin (IL)-13, IL-33, and tumor necrosis factor (TNF)-α cytokines on immune responses in mild and moderate COVID-19-infected Iraqi patients. A prospective case-control study was conducted from January 2023 to January 2024; it included 80 patients infected with moderate COVID-19 infection who consulted in different private clinics and 40 healthy controls. The serum of both groups was tested for quantification of serum IL-13, IL-33, and TNF-α using the human enzyme-linked immunosorbe

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Publication Date
Fri Jan 01 2016
Journal Name
Journal Of The College Of Languages (jcl)
Investigating English Composition Writing Problems Encountered by Preparatory School Students and Finding Solutions to These Problems through Schema- Based Approach
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Writing in English is one of the essential factors for successful                      EFL learning .Iraqi students at the preparatory schools encounter problems when using their background knowledge in handling subskills                                  of writing(Burhan,2013:164).Therefore, this study aims to investigate the 4thyear preparatory school students’ problems in English composition writing, and find solutions to these pro

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Publication Date
Wed Jan 18 2017
Journal Name
Effect Of Cutting Angle And Knives Type On Some Operational Characteristics For A Locally Manufactured Palm Pruning Motorized Vibration Cutter‏ Aa Jasim, Mr Abbood, Sm Abbood‏
Effect of Cutting Angle and Knives Type on Some Operational Characteristics for a Locally Manufactured Palm Pruning Motorized Vibration Cutter‏
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Publication Date
Sun Jan 01 2023
Journal Name
The Egyptian Journal Of Hospital Medicine
Evaluation of Interleukin-9 Serum Level and Gene Polymorphism in A Sample of Systemic Lupus Erythematosus in Iraqi Female's Patients.
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Background Immunological gene and serum level for interleukin- 9 rs 17317275 have been established to have linked to predisposition systemic lupus erythematosus (SLE) and its severity. SLE is a severe, systemic autoimmune disease characterized by autoantibody generation, complement activation, and immune complex deposition. In the pathophysiology of SLE, cytokines have a pleiotropic function. Recently, IL-9 was discovered to mediate strong anti-inflammatory effects in numerous cells or experimental autoimmune models. Objective This study aimed to determine the role of age, IL-9 serum level and genetic polymorphism, C-reactive protein (CRP), Anti-nuclear antibody (ANA) and Anti- double-stranded DNA (anti-dsDNA) to recognize SLE pathogenesis.

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Publication Date
Sun Jan 01 2023
Journal Name
The Egyptian Journal Of Hospital Medicine
Association of Interleukin-12B Polymorphism and Serum Level of Interleukin-12 in a Sample of Iraqi Patients with Rheumatoid Arthritis
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Background In rheumatoid arthritis, your immune system attacks the tissue lining the joints on both sides of your body. Other parts of the body may also be affected. Unsure of the exact cause. Two separate genes termed IL12A (p35) and IL12 encode the heterodimeric cytokine known as IL12 (p40). Several different hematopoietic cell types can have several different hematopoietic cell types that can generate antigen-presenting cells (APCs), including DCs and macrophages. Objectives This study aimed to investigate if the interleukin IL-12B gene's common polymorphisms in an Iraqi population were associated with RA. Material and methods Blood samples were taken from 70 Iraqi patients with RA illnesses and 30 Iraqi controls during the periods from

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Publication Date
Thu Oct 09 2025
Journal Name
Journal Of Physical Education
Special Speed Endurance Effect of 800m Running on Some Physiological Indictors and Achievement of Physically Disabled Men Class (T47 – T46)
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Publication Date
Tue Jun 01 2021
Journal Name
Journal Of Engineering
A Comparative Study of a Moving Bed Biofilm Reactor and Bio-shaft Technology for a Wastewater Treatment Process: A review
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In addition to the primary treatment, biological treatment is used to reduce inorganic and organic components in the wastewater. The separation of biomass from treated wastewater is usually important to meet the effluent disposal requirements, so the MBBR system has been one of the most important modern technologies that use plastic tankers to transport biomass with wastewater, which works in pure biofilm, at low concentrations of suspended solids. However, biological treatment has been developed using the active sludge mixing process with MBBR. Turbo4bio was established as a sustainable and cost-effective solution for wastewater treatment plants in the early 1990s and ran on minimal sludge, and is easy to maintain. This

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Publication Date
Thu Nov 09 2017
Journal Name
International Journal Of Science And Research (ijsr)
Effect of Some Isolation Fungi from Iraq / Baghdad Hospitals Apparatus on Physiology of Liver, Kidney and Testis in Albino Mice
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Publication Date
Sat Jul 01 2017
Journal Name
Journal Of Physical Education
Special Exercises According to Refereeing and It's Effect on Developing Some Physical Abilities Of First Class Basketball Referees in Baghdad
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Basketball is one of the most popular and popular games that have a large audience both globally and locally because of the magic it contains in terms of performance. For this sport to be a success, fundamental factors must exist and these factors is the referee. The referee plays a large and important role in the success of the game and the establishment and application of rules.The research aimed at identifying the effect of special on the development of referee's physical abilities. The researcher used the experimental method. The subjects were (12) first class basketball referees. The researcher recommended using special exercises due to their great role in developing the physical abilities of first class basketball referees

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