Results 71 to 80 of about 121,379 (198)
IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.This article provides a comprehensive review of studies on the 3L‐CVRP (capacitated vehicle routing problem with three‐dimensional loading constraints) published from 2006 to 2026. It systematically classifies problem variants, modelling frameworks, and solution approaches, while also summarising benchmark instances.
Jushang Chi, Rui Song, Shiwei He
wiley +1 more source
Generalized Fibonacci Polynomials and Their Properties
SymmetryThis study presents a unified framework for the simultaneous analysis of generalized Fibonacci numbers and their associated polynomial extensions, both of which play a significant role in combinatorial analysis and discrete mathematics. The generalized Fibonacci polynomials have been extended to four new families of polynomials, each defined through ...
Sibel Koparal +5 more
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Memory‐Driven Multi‐Objective Optimisation for Diverse Subway Route Recommendation
IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.Traditional single‐objective path planning algorithms frequently fail to address the multidimensional and diverse demands of modern urban subway passengers. To overcome this limitation, the authors propose a multi‐objective optimisation framework that integrates the A* and Yen's K shortest path algorithms while explicitly incorporating passenger memory
Jianlin Jia +3 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
wiley +1 more source
On bivariate Fibonacci-Fubini polynomials
Recently, Fibonacci extensions of several special polynomials, such as Fibonacci-Hermite, Fibonacci-Euler, Fibonacci-Genocchi, Fibonacci-Bernoulli, and Fibonacci-Bernstein polynomials, have been considered, and diverse of their properties and relations ...
Duran, Ugur
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, 2023 <abstract><p>This paper aims to give generating functions for the new family of polynomials, which are called parametric types of the Apostol Bernoulli-Fibonacci, the Apostol Euler-Fibonacci, and the Apostol Genocchi-Fibonacci polynomials by ...
Halit Öztürk, Can Kızılateş
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On Generalized Fibonacci Polynomials: Horadam Polynomials
Earthline Journal of Mathematical Sciences, 2022 In this paper, we investigate the generalized Fibonacci (Horadam) polynomials and we deal with, in detail, two special cases which we call them $(r,s)$-Fibonacci and $(r,s)$-Lucas polynomials. We present Binet's formulas, generating functions, Simson's formulas, and the summation formulas for these polynomial sequences.
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Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel +3 more
wiley +1 more source
Trivariate Fibonacci and Lucas polynomials [PDF]
, 2018 Yüksek Lisans TeziBu çalışma beş bölümden oluşmaktadır. Birinci bölümde Tribonacci sayıları ve polinomlarının tanımları ve bazı özellikleri verilmiştir.
Kılınç, Hatice
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Melham's sums for some Lucas polynomial sequences [PDF]
Notes on Number Theory and Discrete MathematicsA Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
doaj +1 more source