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Quantum annealing algorithms belong to the class of meta-heuristic tools, applicable for solving binary optimization problems. Hardware implementations of quantum annealing, such as the quantum processing units (QPUs) produced by D-Wave…

Current world trade is based and supported in a strong and healthy supply chain, where logistics play a key role in producing and providing key assets and goods to keep societies and economies going. Current geopolitical and sanitary…

Quantum Physics · Physics 2023-01-19 Juan Francisco Ariño Sales , Raúl Andres Palacios Araos

We explore the near-term intersection of quantum computing with the transport sector. To support near-term integration, we introduce a framework for assessing the suitability of transport optimization problems for obtaining potential…

The multicommodity flow problem is NP-hard already for two commodities over bipartite graphs. Nonetheless, using our recent theory of n-fold integer programming and extensions developed herein, we are able to establish the surprising…

Combinatorics · Mathematics 2011-01-18 Raymond Hemmecke , Shmuel Onn , Robert Weismantel

Quantum annealing (QA) is a quantum computing algorithm that works on the principle of Adiabatic Quantum Computation (AQC), and it has shown significant computational advantages in solving combinatorial optimization problems such as vehicle…

Optimization and Control · Mathematics 2020-05-28 Ramkumar Harikrishnakumar , Saideep Nannapaneni , Nam H. Nguyen , James E. Steck , Elizabeth C. Behrman

Problem instances of a size suitable for practical applications are not likely to be addressed during the noisy intermediate-scale quantum (NISQ) period with (almost) pure quantum algorithms. Hybrid classical-quantum algorithms have…

Quantum Physics · Physics 2022-12-05 Randall Correll , Sean J. Weinberg , Fabio Sanches , Takanori Ide , Takafumi Suzuki

The work explores the integration of quantum computing into logistics and supply chain management, emphasising its potential for use in complex optimisation problems. The discussion introduces quantum computing principles, focusing on…

Quantum Physics · Physics 2025-04-03 Frank Phillipson

Quantum computing provides a novel approach to addressing conventionally intractable issues in large-scale optimization. Space logistics missions require the efficient routing of payloads, spacecraft, and resources across complex networks,…

Optimization and Control · Mathematics 2025-01-10 Amiratabak Bahengam , Mohammad-Ali Miri , R. Joseph Rupert , Wesley Dyk , Hao Chen

We suggest a hybrid quantum-classical routine for the NP-hard Electric Vehicle Fleet Charging and Allocation Problem. The original formulation is a Mixed Integer Linear Program with continuous variables and inequality constraints. To…

Throughput is a main performance objective in communication networks. This paper considers a fundamental maximum throughput routing problem -- the all-or-nothing multicommodity flow (ANF) problem -- in arbitrary directed graphs and in the…

Data Structures and Algorithms · Computer Science 2022-07-27 Anya Chaturvedi , Chandra Chekuri , Mengxue Liu , Andréa W. Richa , Mattias Rost , Stefan Schmid , Jamison Weber

Noisy intermediate-scale quantum (NISQ) hardware is almost universally incompatible with full-scale optimization problems of practical importance which can have many variables and unwieldy objective functions. As a consequence, there is a…

Quantum Physics · Physics 2022-05-10 Sean J. Weinberg , Fabio Sanches , Takanori Ide , Kazumitzu Kamiya , Randall Correll

Quantum computing, leveraging the principles of quantum mechanics, has been found to significantly enhance computational capabilities in principle, in some cases beyond classical computing limits. This paper explores quantum computing's…

Quantum Physics · Physics 2025-03-28 Chence Niu , Elnaz Irannezhad , Casey Myers , Vinayak Dixit

Quantum computing promises to solve difficult optimization problems in chemistry, physics and mathematics more efficiently than classical computers, but requires fault-tolerant quantum computers with millions of qubits. To overcome errors…

Databases · Computer Science 2021-07-23 Tobias Fankhauser , Marc E. Solèr , Rudolf M. Füchslin , Kurt Stockinger

In this paper, we study a shipment rerouting problem (SRP) which generalizes many NP-hard sequencing and packing problems. A SRP's solution has ample practical applications in vehicle scheduling and transportation logistics. Given a network…

Quantum Physics · Physics 2025-01-13 Fei Li , Arul Rhik Mazumder , Max Zhao

This research highlights the potential of quantum annealing in tackling large-scale optimization problems within the airline industry,demonstrating its efficiency for certain problem sizes while also acknowledging its current limitations.…

Quantum Physics · Physics 2026-02-16 Kuntal Adak , Sakshi Kaushik , Rahul Rana

Quantum networks are considered as a promising future platform for quantum information exchange and quantum applications, which have capabilities far beyond the traditional communication networks. Remote quantum entanglement is an essential…

Networking and Internet Architecture · Computer Science 2022-06-01 Yiming Zeng , Jiarui Zhang , Ji Liu , Zhenhua Liu , Yuanyuan Yang

The complexity of large-scale 6G-and-beyond networks demands innovative approaches for multi-objective optimization over vast search spaces, a task often intractable. Quantum computing (QC) emerges as a promising technology for efficient…

Networking and Internet Architecture · Computer Science 2025-09-10 Sebastian Macaluso , Giovanni Geraci , Elías F. Combarro , Sergi Abadal , Ioannis Arapakis , Sofia Vallecorsa , Eduard Alarcón

Mixed Integer Linear Programming (MILP) can be considered the backbone of the modern power system optimization process, with a large application spectrum, from Unit Commitment and Optimal Transmission Switching to verifying Neural Networks…

Quantum Physics · Physics 2024-04-17 Petros Ellinas , Samuel Chevalier , Spyros Chatzivasileiadis

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

Optimization and Control · Mathematics 2025-08-26 Pengfei Liu

When solving hard multicommodity network flow problems using an LP-based approach, the number of commodities is a driving factor in the speed at which the LP can be solved, as it is linear in the number of constraints and variables. The…

Optimization and Control · Mathematics 2021-08-16 Ahmad Kazemi , Pierre Le Bodic , Andreas Ernst , Mohan Krishnamoorthy
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