A multi-objective logistics optimization problem from a real-world supply chain is formulated as a Quadratic Unconstrained Binary Optimization Problem (QUBO) that minimizes cost, emissions, and delivery time, while maintaining target distributions of supplier workshare. The model incorporates realistic constraints, including part dependencies, double sourcing, and multimodal transport. Two hybrid quantum-classical solvers are proposed: a structure-aware informed tree search (IQTS) and a modular bilevel framework (HBS), combining quantum subroutines with classical heuristics. Experimental results on IonQ's Aria-1 hardware demonstrate a methodology to map real-world logistics problems onto emerging combinatorial optimization-specialized hardware, yielding high-quality, Pareto-optimal solutions.
A multi-objective logistics optimization problem from a real-world supply chain is formulated as a Quadratic Unconstrained Binary Optimization Problem (QUBO) that minimizes cost, emissions, and delivery time, while maintaining target distributions of supplier workshare. The model incorporates realistic constraints, including part dependencies, double sourcing, and multimodal transport. Two hybrid quantum-classical solvers are proposed: a structure-aware informed tree search (IQTS) and a modular bilevel framework (HBS), combining quantum subroutines with classical heuristics. Experimental results on IonQ's Aria-1 hardware demonstrate a methodology to map real-world logistics problems onto emerging combinatorial optimization-specialized hardware, yielding high-quality, Pareto-optimal solutions.
E-commerce platforms face ever more complex dimensional SKU portfolios, demand volatility, returns, seasonality and cost pressures. Traditional optimization approaches (integer programming, heuristics, meta-heuristics) increasingly strain under scale, real-time demands and combinatorial explosion. Meanwhile, quantum-inspired optimization leveraging methods such as quantum annealing, coherent Ising machines, variational circuits and QUBO (Quadratic Unconstrained Binary Optimization) mapping offer near-term practical approaches to combinatorial logistics and inventory problems. This paper proposes a comprehensive framework for applying quantum-inspired optimization to e-commerce supply-chain logistics and inventory management: we provide an extended literature review of classical and quantum-inspired methods; we derive full mathematical formulations for logistics/inventory problems and map them into QUBO/quantum-inspired frameworks; we design a benchmarking/implementation methodology; we discuss industry architecture and deployment issues (data pipelines, latency, hybrid classical/quantum-inspired workflows, interpretability, cost benefit); we present use cases and discuss practical adoption in ecommerce. Our findings suggest that while fully fault-tolerant quantum computing remains some years away, quantum-inspired optimization can deliver meaningful improvements in logistics and inventory decisions today, particularly for large-SKU e-commerce, multi-warehouse networks and time-sensitive delivery.
Managing inventory in large-scale supply chains necessitates quick, cost-effective decisions that adhere to constraints such as storage limits and variable demand. This paper describes a novel hybrid approach that uses both quantum and classical computers to tackle inventory problems structured as Quadratic Unconstrained Binary Optimization (QUBO). Each choice variable, such as restocking a product, is represented in binary form, with related costs and penalties built into the objective function. Business constraints are communicated indirectly using adjustable weights, allowing the model to remain unconstrained while discouraging unrealistic conclusions. Optimization is carried out using both classical methods like simulated annealing and quantum solvers such as D-Wave and QAOA, where a hybrid strategy selects the most viable solution. The results indicate that the hybrid system consistently produces lower total costs and better constraint compliance compared to individual solvers, especially for complex, high-dimensional datasets. To ensure secure, automated execution of these optimized decisions, a blockchain layer is introduced. Inventory actions—such as placing orders or updating stock—are carried out through smart contracts that provide tamper-proof, verifiable enforcement. By employing a lightweight Proof of Authority (PoA) mechanism, transaction validation remains fast while maintaining transparency across all nodes in the network. This integration of quantum optimization with blockchain automation enables a responsive and trustworthy framework for modern inventory management.
Quantum computing offers transformative potential for addressing complex combinatorial optimization challenges in logistics and supply chain management. This paper presents a comprehensive investigation of quantum annealing and hybrid quantum-classical algorithms applied to unit load device (ULD) configuration and disruption management in air cargo and multimodal logistics networks. We formulate the ULD loading and placement problem as a Quadratic Unconstrained Binary Optimization (QUBO) model that incorporates weight, volume, center-of-gravity, structural stress, and compatibility constraints. A stratified hybrid architecture spanning physical quantum hardware, algorithmic middleware, and decision-support layers is proposed. Through extensive numerical experiments and comparison with classical solvers, we demonstrate superior payload utilization (up to 96.5%), favorable computational scaling, and rapid disruption recovery. Real-world industry pilots, including quantum-assisted route optimization achieving substantial carbon emission reductions and hybrid solutions at major ports, are analyzed. Results indicate that while noisy intermediate-scale quantum (NISQ) hardware limitations persist, hybrid approaches already deliver measurable gains in operational efficiency, cost reduction, and supply-chain resilience. The work provides a practical roadmap for near-term adoption of quantum technologies in high-stakes logistics environments. Keywords— Quantum annealing, Unit load device (ULD), QUBO, Logistics optimization, Disruption management, Hybrid quantum-classical algorithms, Air cargo, Supply chain resilience
Quantum algorithms have shown promise in solving Quadratic Unconstrained Binary Optimization (QUBO) problems, benefiting from their connection to the transverse field Ising model.Various Ising solvers, both classical and quantum, have emerged to tackle such problems efficiently but lack global optimality guarantees and oftentimes sufer from hardware limitations such as limited qubit availability.In this work, we propose a hybrid branch-andbound (B&B) framework that integrates Ising solvers as heuristics within a classical B&B algorithm.Unlike prior theoretical studies, our work presents a practical implementation, available as open-source at GitHub.We explore when and where to apply Ising solvers in the search tree, and introduce a custom branching rule optimized QUBO embedding.Our method is evaluated on hundreds of QUBO instances from QUBOLib.jl using Gurobi and the D-Wave quantum annealer.Our Results show up to 11% less solution time and 17% fewer nodes compared to default Gurobi, an off-the-shelf commercial optimization solver.These findings demonstrate the value of hybrid quantum-classical strategies for enhancing exact optimization.
Transportation strategists increasingly handle heterogeneous fleets under tight service levels, fluctuating costs, and stated environmental targets. This paper addresses the operational Heterogeneous Vehicle Routing Problem (HVRP) with a practical, mathematically light decision framework that treats sustainability as the main goal of the design. We introduce a Quantum-Inspired Supply Chain and Logistics Optimization Algorithm (QISCLOA), solver-independent HVRP approach for transportation system. Our proposed framework builds a curated, capacity-feasible, and diversified route pool using multi-strategy generation. In our 16×16 HVRP benchmarks, our proposed algorithm reduces elapsed time by up to 98.6% compared with strong classical formulations, while matching classical distance quality and delivering higher load utilization (95–99%) under the same feasibility constraints. Compared with existing classical system, our proposed system preserves full feasibility and comparable distance, shows clear distance-per-demand gains in symmetric unit-demand cases, and attains near-zero solve time on identical Binary Quadratic Models (BQM), evidencing orders-of-magnitude speedups. The proposed model further introduces a load–carbon emission correlation with speed, road-condition, and congestion factors, and the proposed Quantum Annealing (QA) and existing Quantum Approximate Optimization Algorithm (QAOA) comparison demonstrates competitive solution quality, solver-dependent efficiency, and full logical hardware compatibility. Additionally, we extend the formulation to a multi-depot setting with depot availability, dispatch-capacity, time-window, and Electric Vehicle (EV) charging constraints, and validate it on 21 Multi-Depot Vehicle Routing Problem (MDVRP) benchmark instances to demonstrate scalable multi-depot route selection, while a reduced comparison confirms competitive solution quality and solver-dependent efficiency, with existing QAOA improving overall route distance by 0.63% and proposed QA achieving a 9.14% overall runtime advantage. In multitasking Capacitated Vehicle Routing Problem (CVRP) benchmarks used in explicit evolutionary multitasking studies, our approach achieves lower routing cost for both best and average results with a win rate of 81.48%, indicating a lower emission of CO2. Empirically, our proposed method outperforms competitive state-of-the-art approaches in our evaluation metrics while maintaining core feasibility.
This paper introduces a groundbreaking hybrid quantum-classical algorithm for the socioeconomically weighted warehouse facility location problem, addressing critical challenges in modern supply chain optimization. We present a novel Quadratic Unconstrained Binary Optimization (QUBO) formulation with rigorously derived penalty parameters, automated constraint repair mechanisms, and theoretically proven performance guarantees. Our hybrid approach integrates demand-weighted kmedoids clustering with quantum annealing, achieving an 7.92% reduction in total weighted distance over classical baselines while maintaining 95% feasibility rates. Key innovations include: (1) mathematically rigorous penalty parameter bounds ensuring constraint satisfaction, (2) automated quantum solution repair algorithms with bounded objective deterioration, (3) intelligent hybrid merging strategies leveraging complementary classicalquantum strengths, and (4) empirical 95% repair bound and a sufficient computable penalty condition. Experimental validation on real Hyderabad socioeconomic data demonstrates superior performance with approximation ratio 1.11 compared to pure quantum approaches (1.22) and classical methods (1.05), establishing practical quantum advantage for logistics optimization,