Çok Amaçlı Doğrusal Kesirli Programlama Probleminin Taylor Serisiyle Çözümü

DergiPark: 245889trakyafbdBu makalede, Çok Amaçlı Doğrusal Kesirli Programlama Probleminin uygun bölgesindeki, her doğrusal kesirli amaç fonksiyonunu optimal yapan noktalarda, kesirli lineer amaç fonksiyonları Taylor serisine açılarak, Çok Amaçlı Doğrusal Kesirli Programlama Problemi, Çok Amaçlı Doğrusal Programlama Problemine dönüştürül-müştür. Daha sonra da, doğrusal amaç fonksiyonlarının ağırlıkları dikkate alınarak, ağırlıklı toplamı bulunmuştur. Ardından, tek amaçlı doğrusal programlama problemi elde edilmiştir. Bu doğrusal programlama probleminin optimal çözümü, çok amaçlı doğrusal kesirli programlama probleminin etkin, hatta, kuvvetli etkin çözümlerini belirlemektedir. Önerilen çözümün etkinliğini göstermek için, örnek uygulamalar yapılmış olup, örneklerin çözümünde WinQSB bilgisayar paket programı kullanılmıştır.In this paper, we have proposed a solution to Multi Objective Linear Fractional Programming Problem (MOLFPP) by expanding the order 1st Taylor polynomial series these objective functions at optimal points of each linear fractional objective functions in feasible region. MOLFPP reduces to an equivalent Multi Objective Linear Programming Problem (MOLPP). The resulting MOLPP is solved assuming that weights of these linear objective functions are equal and considering the sum of the these linear objective functions. The proposed solution to MOLFPP always yields efficient solution, even a strong-efficient solution. Therefore, the complexity in solving MOLFPP has reduced easy computational. To show the ability the proposed solution, three different numerical examples have been presented. The given examples are solved using optimization software WINQSB (Chang, 2001)

Lineer Olmayan Birinci Mertebeden Differential Denklem Sistemlerinin Kuvvet Serisiyle Çözümü

DergiPark: 245859trakyafbdBu makalede, lineer olmayan adi diferansiyel denklemlerin çözümü için kuvvet serisini kullandık. Nümerik yoldan elde edilen sonuçlarla, teorik yoldan elde edilen sonuçlar karşılaştırıldı ve lineer olmayan differansiyel denklem sistemlerinde metodun etkinliğini göstermek için örnekler verildi. Nümerik hesap-lamalarda MAPLE bilgisayar cebiri sistemleri kullanıldı (FRANK, 1996).In this paper, we use power series method to solve non-linear ordinary differential equations Theoretical considerations has been discussed and some examples were presented to show the ability of the method for non-linear systems of differential equations. We use MAPLE computer algebra systems for numerical calculations (FRANK, 1996)

Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order

Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Padé series. Finally, numerical results were compared and presented in tables and figures

Adsorption challenge in the PDMS-based microfluidic systems for drug screening application

Drug screening is one of the demand areas due to close and direct dependency on human health. On the other hand, recently microfluidic systems have been increasingly used for drug development and screening purposes. However, this system has some challenges such as adsorption issue which can effect pharmacokinetic-pharmacodynamic (PK-PD) of the drugs. Thus, in this research, the issue was characterized and evaluated by UV-Vis spectrophotometry and FTIR spectroscopy devices as a model drug of cisplatin. Despite of strong relationship between logP and adsorption, and the very low value of logP in the drug candidate, the results for both apical and basal planes of the microfluidic chip confirmed the adsorption. In the UV-Vis spectrophotometry, the basal plane show 5%, and 10% higher adsorption compared to apical and control polydimethylsiloxane (PDMS)-based microfluidic. Additionally, the FTIR patterns were a good coincide with UV-Vis results

A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem

We have proposed a new solution to the Multiobjective Linear Fractional Programming Problem (MOLFPP). The proposed solution is based on a theorem that deals with nonlinear fractional programming with single objective function and studied in the work by Dinkelbach, 1967. As a new contribution, we have proposed that is an efficient solution of MOLFPP if is an optimal solution of problem , where is for all . Hence, MOLFPP is simply reduced to linear programming problem (LPP). Some numerical examples are provided in order to illustrate the applications of the proposed method. The optimization software package, namely, WinQSB (Chang, 2001), has been employed in the computations

Revıew of samples belongıng to some famılıes ın herbarıum of Ankara plant protectıon central research ınstıtute

Ankara Zirai Mücadele Merkez Araştırma Enstitüsü Herbaryumunda bulunan Brassicaceae, Caryophyllaceae, Amaranthaceae, Fabaceae, Asteraceae, Boraginaceae, Lamiaceae ve Poaceae familyalarına ait 705 bitki örneğinin incelenmesi sonucu 182 cins ve bu cinslere ait 393 tür ve türaltı takson tespit edilmiştir. Toplam 42 tür Türkiye için endemiktir ve endemizm oranı % 10.69'dur. En çok tür içeren ilk beş cins şunlardır: Astragalus L. (16), Centaurea L. (14), Anthemis L. (14), Salvia L (13), Vicia L. (9), Silene L. (8). Taksonların fitocoğrafik bölgelere dağılımı ise şöyledir: İran-Turan elementi 84 (%21), Akdeniz elementi 51 (%13), Avrupa-Sibirya elementi 28 (%7), bilinmeyen veya çok bölgeli olanlar da 230 (%59) dur. Toplam 49 takson toplandığı kare için yenidir.Brassicaceae, Caryophyllaceae, Amaranthaceae, Fabaceae, Asteraceae, Boraginaceae, Lamiaceae and Poaceae families was revised at Herbarium of Ankara Plant Protection Central Research Institute and found out that 705 plant specimens belonging to 182 genera and 393 taxa were deposited. Total 42 species are endemic for Turkey and rate of endemism is %10.66. The first five genera containing the most species are as follows: Astragalus L. (16), Centaurea L. (14), Anthemis L. (14), Salvia L (13), Vicia L. (9), Silene L. (8). The distribution of species belonging to different phytogeographic region are as given below: Irano-Turanian 84 (%21), Mediterranean 51 (%13), Euro- Siberian 28 (%7), the others are wildspread or cosmopolits 230 (%59). Totally 49 taxa are new for the collected squares

Use of allelopathic plant extract with herbicide

Herbicides are one of the plant protection products that have been discussed due to their adversely effects caused by the usage of them although they have an important role on the sustainability of crop production. Researches on the plant protection practices, such as the development of new herbicide application techniques, the reduction of the application rate, the use of adjuvant, changing herbicide application time and the use of allelopathic plant extract, and the applications based on the results of these research have increased in recent years. The cost of weed control may exceed the economic benefits because a large amount of plant extract is needed to control weeds alone with allelopathic chemicals. Using the mixture of plant extracts with the reduced rate of herbicides is important both to reduce environmental and economic losses and to prevent some problem caused by use of herbicide. The extracts of plants which have got allelopathic character, such as sunflower, sorghum, brassica and rice, are commonly used for this aim. The aim of presented review is to emphasize the efficacy of allelopathic plant extract with herbicide to control weeds and its economical contribution

Evaluation of COVID-19 antibody response with using three different tests

Background and Objectives: In this study, the performance of three different commercial antibody assays for COVID-19 was examined and parameters affecting the antibody response were investigated. The correlation of patients' chest CT results, procalcitonin, CRP, and D-dimer levels with the antibody response were retrospectively evaluated