Graduate School of Applied Mathematics

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Recent Submissions

A strategy based on statistical modelling and multi-objective optimization to design a dishwasher cleaning cycle Anapa, Korkut; Yücel, Hamdullah (2024-09-01) This study proposes a novel approach based on statistical learning and multi-objective optimization to reduce the need for experiments during the design phase of new cleaning cycles for household dishwashers. We first buil...
Metaheuristic-driven extended exergy accounting for sustainable closed-loop food supply chain management Shokouhifar, Mohammad; Naderi, Reihaneh; Goli, Alireza; Gultom, Parapat; Shafiei Nikabadi, Mohsen; Weber, Gerhard Wilhelm (2024-05-01) In this research, an exergetic mathematical model is proposed for closed-loop food supply chain network design considering economic, environmental, and social aspects. The studded closed-loop food supply chain consists of ...
Disruption, panic buying, and pricing: A comprehensive game-theoretic exploration Soltanzadeh, Shima; Rafiee, Majid; Weber, Gerhard Wilhelm (2024-05-01) No one can cast a shadow on the disruption and customer buying behavior change, especially panic buying, as a result of it. Thus, designing scenarios to examine the influence of this situation on pricing decisions plays a ...
A novel Nash-based low-carbon implementation in agricultural supply chain management Hamidoğlu, Ali; Weber, Gerhard Wilhelm (2024-04-10) The transition to low-carbon agriculture is seen as essential for accelerating the implementation of ecologically friendly and climate-smart agricultural supply chain management strategies. Success in these efforts depends...
Location–allocation problem for green efficient two-stage vehicle-based logistics system: A type-2 neutrosophic multi-objective modeling approach Das, Soumen Kumar; Yu, Vincent F.; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2024-03-15) In recent decades, global climate change has become one of the most critical environmental issues, leading to increased environmental and social concerns about the sustainability of logistics networks. This study proposes ...
A fast NTRU software implementation based on 5-way TMVP Yaman Gökce, Neslihan; Gökce, Anıl Burak; Cenk, Murat (2024-03-01) The fast and efficient operation of post-quantum cryptographic algorithms has become an important research topic, especially with the recent developments and the process of the PQC Standardization Project by NIST. Various ...
A stabilized finite element formulation with shock-capturing for solving advection-dominated convection–diffusion equations having time-fractional derivatives Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (2024-03-01) Numerical instabilities arising when simulating transport phenomena dominated by convection processes are among the most challenging situations in computational science, demanding the use of non-classical formulations and ...
SOME CONSTRUCTIONS OF MUTUALLY UNBIASED BASES OVER FINITE FIELDS Elmas, Gökhan; Özkaya, Buket; Özbudak, Ferruh; Department of Cryptography (2024-2-26) Mutually unbiased bases, as a mathematical concept, has important implications in quantum information theory where the information is encoded as linear combinations of vectors in Hilbert spaces instead of as arrays of digi...
Vine Copula Approach to Understand the Financial Dependence of the Istanbul Stock Exchange Index Evkaya, Ömer Ozan; Gür, Ismail; Yıldırım Külekci, Bükre; Poyraz, Gülden (2024-02-01) Recently, the complex dependence patterns among various stocks gained more importance. Measuring the dependency structure is critical for investors to manage their portfolio risks. Since the global financial crisis, resear...
Complete Characterization of a Class of Permutation Trinomial in Characteristic Five Grassl, Markus; Özbudak, Ferruh; Özkaya, Buket; Gülmez Temür, Burcu (2024-02-01) In this paper, we address an open problem posed by Bai and Xia in [2]. We study polynomials of the form f (x) = x4q+1 + λ1 x5q + λ2 x q+4 over the finite field F5k , which are not quasi- multiplicative equivalent to any of...
Circular Economy Practices in the Context of Emerging Economies Ali, Sadia Samar; Weber, Gerhard Wilhelm; Tirkolaee, Erfan Babaee; Goli, Alireza (2024-02-01)
Proba: privacy-preserving, robust and accessible blockchain-powered helios Kocaman, Sermin; Doğanaksoy, Ali; Sulak, Fatih; Department of Cryptography (2024-1-26) Helios is the first web-based and open-audit voting system. The open-audit feature allows anyone to track the voting process, thus providing easy verifiability in all stages of the elections. Despite many advantages, Helio...
VERIFIABLE ACCOUNTABLE SUBGROUP MULTI-SIGNATURES Ağırtaş, Ahmet Ramazan; Yayla, Oğuz; Department of Cryptography (2024-1-22) In this thesis, we introduce an accountable subgroup multi-signature (ASM) framework. The framework comprises three novel pairing-based ASM schemes, i.e., vASM, ASMwSA and ASMwCA, each designed to be secure against chosen-...
The Impact of Renewable Energy Incentives on Carbon Prices in the USA ÇOŞKUN, ESİN HİLAL; Kestel, Sevtap Ayşe; DALKIR, SERDAR (Springer, 2024-01-01)
PEER GROUP SITUATIONS AND GAMES WITH FUZZY UNCERTAINTY Özcan, İsmail; ALPARSLAN GÖK, Sırma Zeynep; Weber, Gerhard Wilhelm (2024-01-01) The social arrangement of organizations determines the potential possibilities of all group of agents in several economic and Operations Research (OR) situations. In this paper, a class of cooperative games in which agents...
A COMPARATIVE AND ILLUSTRATIVE STUDY FOR SOLVING SINGULARLY PERTURBED PROBLEMS WITH TWO PARAMETERS CEngizci, S.; Uğur, Ömür (2024-01-01) This computational study concerns approximate solutions of singularly perturbed one-dimensional boundary-value problems having perturbed convection and diffusion terms. Such kinds of problems take different stands dependin...
Contingent Convertible Bonds and An Analysis About Their Pricing GOKCAN, OZGE; Gaygısız Lajunen, Esma; Department of Financial Mathematics (2024-1) This study aims to study contingent convertibles, exploring their elements, trigger mechanisms, and the complex relation between financial variables that influence their valuation. By examining various pricing methodologie...
Improved Spectral Bound for Quasi-Cyclic Codes Luo, Gaojun; Ezerman, Martianus Frederic; Ling, San; Özkaya, Buket (2024-01-01) Spectral bounds form a powerful tool to estimate the minimum distances of quasi-cyclic codes. They generalize the defining set bounds of cyclic codes to those of quasi-cyclic codes. Based on the eigenvalues of quasi-cyclic...
A STRATEGY BASED ON STATISTICAL MODELLING AND MULTI-OBJECTIVE OPTIMIZATION TO DESIGN A DISHWASHER CLEANING CYCLE ANAPA, KORKUT; Yücel, Hamdullah; Bayraktar, Songül; Department of Scientific Computing (2023-12-22) This thesis proposes a novel approach based on statistical learning and multi-objective optimization to reduce the need for experiments during the design phase of new cleaning cycles for household dishwashers. First, regre...
MULTIPLE CONNECTIVITY APPROACH TO NETWORK FORMATION GAMES Çam, Can Deniz; Gaygısız Lajunen, Esma; Yücel, Hamdullah; Department of Scientific Computing (2023-12-11) The analyses of network structures, formations and stability characteristics are gaining importance and attracting increasing attention. This thesis establishes a specific network formation game and suggests a network stab...

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