Browsing by Author "Bilge, A.H."

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Citation Count: 0
Graph Theoretical Approach For Path Selection İn Logistic Problems;
(Institute of Electrical and Electronics Engineers Inc., 2024) Gökdağ, Z.H.; Bilge, A.H.
In this study, we propose a solution for determining operationally acceptable paths by partitioning a graph structure into cliques. In the proposed approach, the graph representing the road network is partitioned into cliques, with boundary vertices connected by k-partite graphs. A path is considered acceptable if its length lies within a certain neighborhood of the minimal distance between the source node and the end node. The clique and k-partite decomposition increase the efficiency of determining acceptable paths. Formulas and numerical examples show that the number of possible paths between any two vertices in a complete graph is higher than the number of possible paths computed by partitioning the graph into cliques with boundary vertices connected by k-partite graphs. The method was applied to the graph structure that includes certain cities in Turkey, where cliques are based on operational preferences. As a result, it was seen as an effective approach that could be suitable for the real-world road network structure. © 2024 IEEE.
Citation Count: 0
Segregation of Hourly Electricity Consumption: Quantification of Demand Types Using Fourier Transform
(Econjournals, 2025) Yucekaya, A.; Bilge, A.H.; Yukseltan, E.; Aktunc, E.A.
Although aggregate electricity consumption provides valuable information for market analysis, it does not provide demand composition, including industrial, residential, illumination, and other uses. The information for subconsumptions is required for the reliable and cost-effective operation of the power system. As a first step towards the segregation of hourly total electricity consumption into its components, we use spectral analysis (Fast Fourier Transform) to determine relative strengths of the harmonics of annual, weekly and daily variations, to quantify the share of electricity consumption for heating, cooling, illumination and industrial activities. The method is applied to the data of France, Sweden, Finland, Norway, Turkiye, Italy, Spain, Greece, Germany, Great Britain, Poland and the Netherlands. Quantitative results obtained via spectral analysis are supplemented by qualitative features observed via time-domain analysis. The consumption ratios for each demand type are calculated using daily, weekly and annual harmonics and the results are presented. © 2025, Econjournals. All rights reserved.
Citation Count: 0
A Trip Around Octonions
(IOP Publishing Ltd, 2022) Bilge, A.H.; Dereli, T.; Kocak, A.
In these expository notes, after a contemplation on the dawn of octonions, we give proofs for the Frobenius theorem and the Hurwitz theorem, we review the basics of Clifford algebras and spin groups, and exemplify the startling role played by the octonions in 7- A nd 8-dimensional phenomena such as the special 3- A nd 4-forms, the Bonan form, Spin(7) and Spin(8) groups and the mysterious triality. © 2021 Published under licence by IOP Publishing Ltd.