An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 2023-11-04T13:00:14+03:00 Prof. Dr. Ramazan YAMAN Open Journal Systems <p> </p> <table> <tbody> <tr> <td width="230"> <p><img src="" alt="" width="218" height="308" /></p> <p><br />ISSN: 2146-0957<br />eISSN: 2146-5703</p> <p><strong>PUBLISHER</strong><br /><span style="color: #306754;"><a href="[]=MUST=allissnbis=%222146-0957%22&amp;search_id=28394838" target="_blank" rel="noopener">YAMAN, Ramazan</a> </span><br />Istanbul Atlas University / Turkey</p> <p><strong>EDITOR IN CHIEF</strong><br /><span style="color: #306754;"><a href="" target="_blank" rel="noopener">YAMAN, Ramazan</a> </span><br />Istanbul Atlas University / Turkey</p> <p><a href=""><em>View the full editorial board</em></a></p> </td> <td> <p><strong>Aims and Scope</strong><br /><em>An International Journal of Optimization and Control: Theories &amp; Applications</em> is a scientific, peer-reviewed, open-access journal that publishes original research papers and review articles of high scientific value in all areas of applied mathematics, optimization and control. It aims to focus on multi/inter-disciplinary research into the development and analysis of new methods for the numerical solution of real-world applications in engineering and applied sciences. The basic fields of this journal cover mathematical modeling, computational methodologies and (meta)heuristic algorithms in optimization, control theory and their applications. Note that new methodologies for solving recent optimization problems in operations research must conduct a comprehensive computational study and/or case study to show their applicability and practical relevance.</p> <p><strong>Journal Topics</strong> <br />The topics covered in the journal are (not limited to): <br />Applied Mathematics, Financial Mathematics, Control Theory, Optimal Control, Fractional Calculus and Applications, Modeling of Bio-systems for Optimization and Control, Linear Programming, Nonlinear Programming, Stochastic Programming, Parametric Programming, Conic Programming, Discrete Programming, Dynamic Programming, Nonlinear Dynamics, Stochastic Differential Equations, Optimization with Artificial Intelligence, Operational Research in Life and Human Sciences, Heuristic and Metaheuristic Algorithms in Optimization, Applications Related to Optimization in Engineering.</p> <p> </p> <p> </p> </td> </tr> <tr> <td> </td> <td> </td> </tr> </tbody> </table> On analyzing two dimensional fractional order brain tumor model based on orthonormal Bernoulli polynomials and Newton's method 2023-08-11T09:48:55+03:00 Iman Masti ‎ Khosro Sayevand Hossein Jafari ‎ <p>Recently, modeling problems in various field of sciences and engineering with the help of fractional calculus has been welcomed by researchers. One of these interesting models is a brain tumor model. In this framework, a two dimensional expansion of the diffusion equation and glioma growth is considered. The analytical solution of this model is not an easy task, so in this study, a numerical approach based on the operational matrix of conventional orthonormal Bernoulli polynomials (OBPs) has been used to estimate the solution of this model. As an important advantage of the proposed method is to obtain the fractional derivative in matrix form, which makes calculations easier. Also, by using this technique, the problem under the study is converted into a system of nonlinear algebraic equations. This system is solved via Newton's method and the error analysis is presented. At the end to show the accuracy of the work, we have examined two examples and compared the numerical results with other works.</p> 2023-11-08T00:00:00+03:00 Copyright (c) 2023 Iman Masti, Khosro Sayevand, Hossein Jafari Scheduling of distributed additive manufacturing machines considering carbon emissions 2023-11-04T12:59:59+03:00 Ibrahim Kucukkoc <p>Additive manufacturing is a rapidly growing technology shaping the future of manufacturing. In an increasingly competitive economy, additive manufacturing can help businesses to remain agile, innovative, and sustainable. This paper introduces the multi-site additive manufacturing (AM) machine scheduling problem considering carbon emissions caused by production and transportation. A mixed-integer linear programming model is developed aiming to optimise two separate objectives addressing economic and environmental sustainability in a multiple unrelated AM machine environment. The former is the total cost caused by production, transportation, set-up and tardiness penalty and the latter is the total amount of carbon emissions caused by production and transportation. The model is coded in Python and solved by Gurobi Optimizer. A numerical example is provided to represent the basic characteristics of the problem and show the necessity of the proposed framework. A comprehensive computational study is conducted under 600s and 1800s time limits for two main scenarios and the results have been elaborated. This article introduces the concept of considering both economic and environmental sustainability caused by production and transportation, proposing the first mathematical model and measuring its performance through a comprehensive experimental study.</p> 2023-11-03T00:00:00+03:00 Copyright (c) 2023 Ibrahim KUCUKKOC Bin packing problem with restricted item fragmentation: Assignment of jobs in multi-product assembly environment with overtime 2023-11-04T13:00:14+03:00 Mustafa Ustuncelik Cagri Koc Huseyin Tunc <p>This paper studies the assignment problem of multi product assembly jobs to days. The problem aims to minimize the amount of overtime while avoiding assembly delays for jobs that can be fragmented into smaller sub-tasks. When sequence-dependent setup times are negligible, the problem considered transforms into the bin packing problem with restricted item fragmentation where jobs represent items and days stand for bins. We present a mixed integer programming model of the problem by extending earlier formulations in the literature. Computational experiments show that the mathematical model obtained optimal solutions for majority of instances tested within reasonable computation times.</p> 2023-11-03T00:00:00+03:00 Copyright (c) 2023 Mustafa Ustuncelik, Cagri Koc, Huseyin Tunc