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The study explores the optimization of evolutionary solver parameters for minimizing total tardiness in single machine scheduling, an NP-hard problem with zero ready times included. It investigates various parameter combinations, including…

Computational Engineering, Finance, and Science · Computer Science 2024-03-29 Mohammed Alromema , Mohammed A. Makarem

We present approximation algorithms for almost all variants of the multi-criteria traveling salesman problem (TSP). First, we devise randomized approximation algorithms for multi-criteria maximum traveling salesman problems (Max-TSP). For…

Data Structures and Algorithms · Computer Science 2011-07-14 Bodo Manthey

The generalized traveling salesman problem (GTSP) is an extension of the well-known traveling salesman problem. In GTSP, we are given a partition of cities into groups and we are required to find a minimum length tour that includes exactly…

Data Structures and Algorithms · Computer Science 2010-03-30 Gregory Gutin , Daniel Karapetyan

We give new sublinear and parallel algorithms for the extensively studied problem of approximating n-variable r-CSPs (constraint satisfaction problems with constraints of arity r up to an additive error. The running time of our algorithms…

Data Structures and Algorithms · Computer Science 2014-07-31 Grigory Yaroslavtsev

We introduce a new benchmark problem called Deceptive Leading Blocks (DLB) to rigorously study the runtime of the Univariate Marginal Distribution Algorithm (UMDA) in the presence of epistasis and deception. We show that simple Evolutionary…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Per Kristian Lehre , Phan Trung Hai Nguyen

The traveling salesman problem (TSP) is a cornerstone of combinatorial optimization and has deeply influenced the development of algorithmic techniques in both exact and approximate settings. Yet, improving on the decades-old bounds for…

Data Structures and Algorithms · Computer Science 2026-04-08 Justin Dallant , László Kozma

The Traveling Salesman Problem (TSP) is a classical NP-hard problem that plays a crucial role in combinatorial optimization. In this paper, we are interested in the quantum search framework for the TSP because it has robust theoretical…

Quantum Physics · Physics 2025-04-25 Bai Xujun , Shang Yun

We consider TSP with time windows and service time. In this problem we receive a sequence of requests for a service at nodes in a metric space and a time window for each request. The goal of the online algorithm is to maximize the number of…

Data Structures and Algorithms · Computer Science 2015-01-27 Yossi Azar , Adi Vardi

Parameterized analysis provides powerful mechanisms for obtaining fine-grained insights into different types of algorithms. In this work, we combine this field with evolutionary algorithms and provide parameterized complexity analysis of…

Combinatorics · Mathematics 2023-03-22 Samuel Baguley , Tobias Friedrich , Aneta Neumann , Frank Neumann , Marcus Pappik , Ziena Zeif

In this work we focus on the well-known Euclidean Traveling Salesperson Problem (TSP) and two highly competitive inexact heuristic TSP solvers, EAX and LKH, in the context of per-instance algorithm selection (AS). We evolve instances with…

Machine Learning · Computer Science 2020-06-30 Moritz Seiler , Janina Pohl , Jakob Bossek , Pascal Kerschke , Heike Trautmann

The Minimum Spanning Tree problem (abbr. MSTP) is a well-known combinatorial optimization problem that has been extensively studied by the researchers in the field of evolutionary computing to theoretically analyze the optimization…

Neural and Evolutionary Computing · Computer Science 2021-10-12 Feng Shi , Frank Neumann , Jianxin Wang

Run time analysis of evolutionary algorithms recently makes significant progress in linking algorithm performance to algorithm parameters. However, settings that study the impact of problem parameters are rare. The recently proposed W-model…

Neural and Evolutionary Computing · Computer Science 2022-09-27 Carola Doerr , Martin S. Krejca

In this work we extend the Emerson and Kahlon's cutoff theorems for process skeletons with conjunctive guards to Parameterized Networks of Timed Automata, i.e. systems obtained by an \emph{apriori} unknown number of Timed Automata…

Logic in Computer Science · Computer Science 2016-05-20 Luca Spalazzi , Francesco Spegni

Quantum inspired Evolutionary Algorithms were proposed more than a decade ago and have been employed for solving a wide range of difficult search and optimization problems. A number of changes have been proposed to improve performance of…

Artificial Intelligence · Computer Science 2019-09-18 Nija Mani , Gursaran , Ashish Mani

In this paper, we present a polynomial-sized linear programming formulation of the Traveling Salesman Problem (TSP). The proposed linear program is a network flow-based model. Numerical implementation issues and results are discussed. (The…

Computational Complexity · Computer Science 2014-07-11 Moustapha Diaby

Evolutionary algorithms based on edge assembly crossover (EAX) constitute some of the best performing incomplete solvers for the well-known traveling salesperson problem (TSP). Often, it is desirable to compute not just a single solution…

Neural and Evolutionary Computing · Computer Science 2021-08-13 Adel Nikfarjam , Jakob Bossek , Aneta Neumann , Frank Neumann

We show that the traveling salesman problem (TSP) and its many variants may be modeled as functional optimization problems over a graph. In this formulation, all vertices and arcs of the graph are functionals; i.e., a mapping from a space…

Optimization and Control · Mathematics 2020-05-08 I. M. Ross , R. J. Proulx , M. Karpenko

Multiple-TSP, also abbreviated in the literature as mTSP, is an extension of the Traveling Salesman Problem that lies at the core of many variants of the Vehicle Routing problem of great practical importance. The current paper develops and…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Vlad-Ioan Lupoaie , Ivona-Alexandra Chili , Mihaela Elena Breaban , Madalina Raschip

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold

In the last decade remarkable progress has been made in development of suitable proof techniques for analysing randomised search heuristics. The theoretical investigation of these algorithms on classes of functions is essential to the…

Neural and Evolutionary Computing · Computer Science 2020-10-22 Frank Neumann , Mojgan Pourhassan , Carsten Witt