Graduate School of Applied Mathematics, Article

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Recent Submissions

Default and prepayment options pricing and default probability valuation under VG model
Yilmaz, Bilgi; Hekimoglu, A. Alper; Kestel, Sevtap Ayşe (2022-01-01)
In this paper, a new approach, the Variance Gamma (VG) model, which is used to capture unexpected shocks (e.g., Covid-19) in housing markets, is proposed to contribute to the standard option-based mortgage valuation method...
Structure-preserving reduced-order modeling of Korteweg–de Vries equation
Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman (2021-10-01)
© 2021 International Association for Mathematics and Computers in Simulation (IMACS)Computationally efficient, structure-preserving reduced-order methods are developed for the Korteweg–de Vries (KdV) equations in Hamiltoni...
Time varying control of magnetohydrodynamic duct flow
Evcin, Cansu; Uğur, Ömür; Tezer, Münevver (2021-09-01)
© 2021 Elsevier Masson SASOptimal control of the unsteady, laminar, fully developed flow of a viscous, incompressible and electrically conducting fluid is considered under the effect of a time varying magnetic field B0(t) ...
Gradient-based grey wolf optimizer with Gaussian walk: Application in modelling and prediction of the COVID-19 pandemic
Khalilpourazari, Soheyl; Hashemi Doulabi, Hossein; Özyüksel Çiftçioğlu, Aybike; Weber, Gerhard-Wilhelm (2021-09-01)
© 2021 Elsevier LtdThis research proposes a new type of Grey Wolf optimizer named Gradient-based Grey Wolf Optimizer (GGWO). Using gradient information, we accelerated the convergence of the algorithm that enables us to so...
Reduced order modelling of nonlinear cross-diffusion systems
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman (2021-07-15)
© 2021 Elsevier Inc.In this work, we present reduced-order models (ROMs) for a nonlinear cross-diffusion problem from population dynamics, the Shigesada-Kawasaki-Teramoto (SKT) equation with Lotka-Volterra kinetics. The fo...
Barman, Haripriya; Pervin, Magfura; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2021-07-01)
In this paper, an Economic Production Quantity model for deteriorating items with time-dependent demand and shortages including partially back-ordered is developed under a cloudy-fuzzy environment. At first, we develop a c...
On building two-player games with treatment schedules for the sir model
Hamidoğlu, Ali; Taghiyev, Mustafa H.; Weber, Gerhard W. (2021-07-01)
© 2010 AZJM All rights reserved.In this study, a treatment argument is provided as a discrete two-player game related to an epidemiological dynamics, so-called, Susceptible-Infectious-Recovered (SIR) model. Here, a simple ...
A green inventory model with the effect of carbon taxation
Paul, Asim; Pervin, Magfura; Roy, Sankar Kumar; Maculan, Nelson; Weber, Gerhard-Wilhelm (2021-06-01)
Nowadays green retail practices are increasing in number. In this paper, an inventory model is formulated with retail investments in green operations including variable holding cost. In the proposed model, the demand rate ...
An integrated decision-making approach for green supplier selection in an agri-food supply chain: Threshold of robustness worthiness
Tirkolaee, Erfan Babaee; Dashtian, Zahra; Weber, Gerhard-Wilhelm; Tomaskova, Hana; Soltani, Mehdi; Mousavi, Nasim Sadat (2021-06-01)
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.Along with the increased competition in production and service areas, many organizations attempt to provide their products at a lower price and higher quality. On th...
Lotfi, Reza; Mehrjerdi, Yahia Zare; Pishvaee, Mir Saman; Sadeghieh, Ahmad; Weber, Gerhard Wilhelm (2021-06-01)
One of the challenges facing supply chain designers is designing a sustainable and resilient supply chain network. The present study considers a closed-loop supply chain by taking into account sustainability, resilience, r...
Time dependent stop-loss reinsurance and exposure curves
Mert, Özenç Murat; Kestel, Ayşe Sevtap (2021-06-01)
Stop-loss contracts are the most commonly used reinsurance agreements in insurance whose important factors are the retention and the maximum (cap) values attained on the random loss, which may occur within the policy perio...
Resilience and sustainable supply chain network design by considering renewable energy
Lotfi, Reza; Kargar, Bahareh; Hoseini, Seyed Hosein; Nazari, Sima; Safavi, Soroush; Weber, Gerhard-Wilhelm (2021-06-01)
Nowadays, using renewable energy (RE) is faster growing by each country. The managerial and designer of supply chain network design (SCND) have to plan to apply RE in pillars of supply chain (SC). This research indicates r...
Fuzzy multiple objective fractional optimization in rough approximation and its aptness to the fixed-charge transportation problem
Midya, Sudipta; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2021-05-01)
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021.This article presents a multiple objective fractional fixed-charge transportation problem (MFFTP) in a rough decision-making framework. A transformation procedure...
Learning reduced-order dynamics for parametrized shallow water equations from data
Yildiz, Suleyman; Goyal, Pawan; Benner, Peter; Karasözen, Bülent (2021-05-01)
This paper discusses a non-intrusive data-driven model order reduction method that learns low-dimensional dynamical models for a parametrized shallow water equation. We consider the shallow water equation in non-traditiona...
Assessment of longevity risk: credibility approach
Yıldırım Külekci, Bükre; Kestel, Ayşe Sevtap (2021-05-01)
Bhaumik, Ankan; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2021-04-01)
Game theory plays an important role in numerous decision-oriented real-life problems. Nowadays, many such problems are basically characterized by various uncertainties. Uncertainties come to happen due to decision makers' ...
İNÇ, MUSTAFA; Partohaghighi, Mohammad; AKINLAR, Mehmet Ali; Weber, Gerhard-Wilhelm (2021-04-01)
We present a new method based on unification of fictitious time integration (FTI) and group preserving (GP) methods. The GP method is applied in numerically discretized ordinary differential equations obtained from applica...
Editorial - Preface to the Special Issue on Numerical Techniques Meet with OR
Gurbuz, Burcu; Weber, Gerhard-Wilhelm (2021-03-01)
This special issue of the Foundations of Computing and Decision Sciences, titled "Numerical Techniques Meet with OR", is devoted to the numerical techniques and their applications in real-world phenomena. The special issue...
Effect of price-sensitive demand and default risk on optimal credit period and cycle time for a deteriorating inventory model
Paul, Asim; Pervin, Magfura; Roy, Sankar Kumar; Weber, Gerhard Wilhelm; Mirzazadeh, Abolfazl (2021-03-01)
In this paper, we formulate and solve an economic order quantity model with default risk. Our main purpose is to investigate retailer's optimal replenishment time and credit period for deteriorating items under selling pri...
An Integration of Neural Network and Shuffled Frog-Leaping Algorithm for CNC Machining Monitoring
Goli, Alireza; Tirkolaee, Erfan Babaee; Weber, Gerhard Wilhelm (2021-03-01)
This paper addresses Acoustic Emission (AE) from Computer Numerical Control (CNC) machining operations. Experimental measurements are performed on the CNC lathe sensors to provide the power consumption data. To this end, a...
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