Quantum optimization: Potential, challenges, and the path forward

A Abbas, A Ambainis, B Augustino, A Bärtschi… - arXiv preprint arXiv …, 2023 - arxiv.org
Recent advances in quantum computers are demonstrating the ability to solve problems at a
scale beyond brute force classical simulation. As such, a widespread interest in quantum …

A Systematic Review of Approximability Results for Traveling Salesman Problems leveraging the TSP-T3CO Definition Scheme

S Saller, J Koehler, A Karrenbauer - arXiv preprint arXiv:2311.00604, 2023 - arxiv.org
The traveling salesman (or salesperson) problem, short TSP, is a problem of strong interest
to many researchers from mathematics, economics, and computer science. Manifold TSP …

[图书][B] Algorithms for convex optimization

NK Vishnoi - 2021 - books.google.com
In the last few years, Algorithms for Convex Optimization have revolutionized algorithm
design, both for discrete and continuous optimization problems. For problems like maximum …

Reducing path TSP to TSP

V Traub, J Vygen, R Zenklusen - Proceedings of the 52nd Annual ACM …, 2020 - dl.acm.org
We present a black-box reduction from the path version of the Traveling Salesman Problem
(Path TSP) to the classical tour version (TSP). More precisely, we show that given an α …

A deterministic better-than-3/2 approximation algorithm for metric TSP

AR Karlin, N Klein, S Oveis Gharan - International Conference on Integer …, 2023 - Springer
We show that the max entropy algorithm can be derandomized (with respect to a particular
objective function) to give a deterministic 3/2-ϵ approximation algorithm for metric TSP for …

A better-than-1.6-approximation for prize-collecting TSP

J Blauth, N Klein, M Nägele - International Conference on Integer …, 2024 - Springer
Prize-Collecting TSP is a variant of the traveling salesperson problem where one may drop
vertices from the tour at the cost of vertex-dependent penalties. The quality of a solution is …

An improved approximation guarantee for Prize-Collecting TSP

J Blauth, M Nägele - Proceedings of the 55th Annual ACM Symposium …, 2023 - dl.acm.org
We present a new approximation algorithm for the (metric) prize-collecting traveling
salesperson problem (PCTSP). In PCTSP, opposed to the classical traveling salesperson …

An improved approximation algorithm for ATSP

V Traub, J Vygen - Proceedings of the 52nd annual ACM SIGACT …, 2020 - dl.acm.org
We revisit the constant-factor approximation algorithm for the asymmetric traveling salesman
problem by Svensson, Tarnawski, and Végh [STOC 2018]. We improve on each part of this …

Approximations for many-visits multiple traveling salesman problems

K Bérczi, M Mnich, R Vincze - Omega, 2023 - Elsevier
A fundamental variant of the classical traveling salesman problem (TSP) is the so-called
multiple TSP (mTSP), where a set of m salesmen jointly visit all cities from a set of n cities …

Improving the approximation ratio for capacitated vehicle routing

J Blauth, V Traub, J Vygen - Mathematical Programming, 2023 - Springer
We devise a new approximation algorithm for capacitated vehicle routing. Our algorithm
yields a better approximation ratio for general capacitated vehicle routing as well as for the …