Graduate School of Applied Mathematics, Article

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Recent Submissions

Sustainable fuzzy multi-trip location-routing problem for medical waste management during the COVID-19 outbreak
Tirkolaee, Erfan Babaee; Abbasian, Parvin; Weber, Gerhard Wilhelm (Elsevier BV, 2021-02-01)
The performance of waste management system has been recently interrupted and encountered a very serious situation due to the epidemic outbreak of the novel Coronavirus (COVID-19). To this end, the handling of infectious me...
A quantitative analysis of low carbon performance in industrial sectors of developing world
Ali, Sadia Samar; ERSÖZ, FİLİZ; Kaur, Rajbir; Altaf, Bothinah; Weber, Gerhard Wilhelm (2021-02-01)
The world is moving towards carbon restricted scenario where excellence and growth in business is contingent upon good governance and excellent low carbon emission related policies, strategies, and long-term values to stay...
Robust bi-level programming for renewable energy location
Lotfi, Reza; Mardani, Nooshin; Weber, Gerhard Wilhelm (Wiley, 2021-01-01)
One of the key factors in the establishment of power plants is proper location, which entails addressing various criteria. Power plant establishment operations are included in the fundamental designs; in turn, comprehensiv...
Rumour propagation: an operational research approach by computational and information theory
Guerbuez, Burcu; Mawengkang, Herman; Husein, Ismail; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2021-01-01)
Rumours are a kind of information that has a impact on social life and economies, which spread quickly and widely, especially, via internet. Recently, the spread of information affects our daily lives due to the increasing...
Goal–oriented a posteriori error estimation for Dirichlet boundary control problems
Yücel, Hamdullah (Elsevier BV, 2021-1)
We study goal-oriented a posteriori error estimates for the numerical approximation ofDirichlet boundary control problem governed by a convection diffusion equation withpointwise control constraints on a two dimensional co...
A DRBEM approximation of the Steklov eigenvalue problem
Türk, Önder (Elsevier BV, 2021-01-01)
In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing d...
A new outlier detection method based on convex optimization: application to diagnosis of Parkinson's disease
TAYLAN, PAKİZE; Yerlikaya-Ozkurt, Fatma; Bilgic Ucak, Burcu; Weber, Gerhard Wilhelm (Informa UK Limited, 2020-12-01)
Neuroscience is a combination of different scientific disciplines which investigate the nervous system for understanding of the biological basis. Recently, applications to the diagnosis of neurodegenerative diseases like P...
Pricing European and American options under Heston model using discontinuous Galerkin finite elements
Kozpınar, Sinem; Uzunca, Murat; Karasözen, Bülent (2020-11-01)
This paper deals with pricing of European and American options, when the underlying asset price follows Heston model, via the interior penalty discontinuous Galerkin finite element method (dGFEM). The advantages of dGFEM s...
An MHD Stokes eigenvalue problem and its approximation by a spectral collocation method
Türk, Önder (Elsevier BV, 2020-11-01)
An eigenvalue problem is introduced for the magnetohydrodynamic (MHD) Stokes equations describing the flow of a viscous and electrically conducting fluid in a duct under the influence of a uniform magnetic field. The solut...
Fuzzy Mathematical Programming and Self-Adaptive Artificial Fish Swarm Algorithm for Just-in-Time Energy-Aware Flow Shop Scheduling Problem With Outsourcing Option
Tirkolaee, Erfan Babaee; Goli, Alireza; Weber, Gerhard Wilhelm (Institute of Electrical and Electronics Engineers (IEEE), 2020-11-01)
Flow shop scheduling (FSS) problem constitutes a major part of production planning in every manufacturing organization. It aims at determining the optimal sequence of processing jobs on available machines within a given cu...
Approaches combining methods of Operational Research with Business Process Model and Notation: A systematic review
Tomaskova, Hana; Weber, Gerhard Wilhelm (2020-11-01)
Background: Business process modelling is increasingly used not only by the companies' management but also by scientists dealing with process models. Process modeling is seldom done without decision-making nodes, which is ...
A robust bi-objective mathematical model for disaster rescue units allocation and scheduling with learning effect
Tirkolaee, Erfan Babaee; Aydin, Nadi Serhan; Ranjbar-Bourani, Mehdi; Weber, Gerhard Wilhelm (Elsevier BV, 2020-11-01)
This paper proposes a novel bi-objective mixed-integer linear programming (MILP) model for allocating and scheduling disaster rescue units considering the learning effect. When a natural phenomenon (e.g., earthquake or flo...
Application of Type-2 Fuzzy Logic to a Multiobjective Green Solid Transportation-Location Problem With Dwell Time Under Carbon Tax, Cap, and Offset Policy: Fuzzy Versus Nonfuzzy Techniques
Das, Soumen Kumar; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (Institute of Electrical and Electronics Engineers (IEEE), 2020-11-01)
We are observing more often extreme climate incidents because of global warming. There is a dire requirement for governments, enterprises, the overall population, and academics to take facilitated activities so as to handl...
Almost p-ary sequences
Ozden, Busra; Yayla, Oğuz (Springer Science and Business Media LLC, 2020-11-01)
In this paper we study almost p-ary sequences and their autocorrelation coefficients. We first study the number l of distinct out-of-phase autocorrelation coefficients for an almost p-ary sequence of period n + s with s co...
PLGAKD: A PUF-based Lightweight Group Authentication and Key Distribution Protocol
Yıldız, Hüsnü; Cenk, Murat; Onur, Ertan (Institute of Electrical and Electronics Engineers (IEEE), 2020-11-01)
Securing Internet of Things (IoT) applications that collect and transport sensitive data by guaranteeing authenticity, integrity, and confidentiality is a critical challenge. Reducing computation and communication overhead...
Excessive backlog probabilities of two parallel queues
Unlu, Kamil Demirberk; Sezer, Ali Devin (2020-10-01)
Let X be the constrained random walk on Z2 + with increments (1, 0), (-1, 0), (0, 1) and (0,-1); X represents, at arrivals and service completions, the lengths of two queues (or two stacks in computer science applications)...
Kropat, Erik; Weber, Gerhard Wilhelm; Tirkolaee, Erfan Babaee (2020-10-01)
Gene-environment network studies rely on data originating from different disciplines such as chemistry, biology, psychology or social sciences. Sophisticated regulatory models are required for a deeper investigation of the...
Modeling human thinking about similarities by neuromatrices in the perspective of fuzzy logic
Grobelny, Jerzy; Michalski, Rafal; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2020-09-01)
In this work, we propose a new method for modeling human reasoning about objects' similarities. We assume that similarity depends on perceived intensities of objects' attributes expressed by natural language expressions su...
Heuristic approaches for solid transportation-p-facility location problem
Das, Soumen Kumar; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2020-09-01)
Determining optimum places for the facilities and optimum transportation from existing sites to the facilities belongs to the main problems in supply chain management. Thesolid transportation-p-facility location problem(ST...
Designing energy-efficient high-precision multi-pass turning processes via robust optimization and artificial intelligence
Khalilpourazari, Soheyl; Khalilpourazary, Saman; ÇİFTÇİOĞLU, AYBİKE ÖZYÜKSEL; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2020-09-01)
This paper suggests a novel robust formulation designed for optimizing the parameters of the turning process in an uncertain environment for the first time. The aim is to achieve the lowest energy consumption and highest p...