Battery electric service vehicles are one step to reduce CO2emissions in the mobility sector. We present an use case for optimal charging scheduling in combination with local solar power generation to minimize power grid usage. The study compares results obtained with a classical optimizer and with a quantum computing algorithm on real quantum hardware. It is shown that for most benchmark experiments, the quantum computing method yields an optimal solution however the quantum approximate optimization algorithm is more sensitive to penalty factors than the classical optimization. Additionally, we present a comparison of the computing times and give a brief review of the current state of IBM’s gate-based quantum computing.
Battery electric service vehicles are one step to reduce CO2emissions in the mobility sector. We present an use case for optimal charging scheduling in combination with local solar power generation to minimize power grid usage. The study compares results obtained with a classical optimizer and with a quantum computing algorithm on real quantum hardware. It is shown that for most benchmark experiments, the quantum computing method yields an optimal solution however the quantum approximate optimization algorithm is more sensitive to penalty factors than the classical optimization. Additionally, we present a comparison of the computing times and give a brief review of the current state of IBM’s gate-based quantum computing.
The reduction of CO2emissions is one of the major challenges in the current century. A game-changer might be quantum computing due to the proposed capabilities. A key field of interest for reducing CO2emissions is the energy sector being transformed from fossil-based to be based on renewable energies and simultaneously combining electricity, heating, mobility, and manufacturing industries.Here, we study an use case for optimal charging scheduling of battery-electric service vehicles considering the requirements of their tasks, local solar power generation, and their battery capabilities to minimize power grid usage and so CO2emissions from fossil-based electricity generation.The study compares benchmark results obtained classically with results obtained by the quantum approximate optimization algorithm (QAOA) to show the current capability of gate-based quantum optimization for a real-world use case. We present different formulations of the optimization problem and specific considerations for our use case necessary to yield optimal solutions reproducible with IBM’s gate-based quantum computers. Here, we used Qiskit’s built-in QAOA method but also self-made methods to examine the influence of the complexity of the problem formulation (penalty factors, landscape of cost function, etc.) as well as the dependence on parameters of the QAOA method (classical optimizer, result extraction, etc.). To obtain reliable results, we used different physical backends and simulations.Finally, we summarize or results and address future improvements for the used QAOA approach for automated real-world applications.
The major advances in quantum computing over the last few decades have sparked great interest in applying it to solve the most challenging computational problems in a wide variety of areas. One of the most pronounced domains here are optimization problems and a number of algorithmic approaches have been proposed for their solution. For the current noisy intermediate-scale quantum (NISQ) computers the quantum approximate optimization algorithm (QAOA), the variational quantum eigensolver (VQE), and quantum annealing (QA) are the central algorithms for this problem class. The two former can be executed on digital gate-model quantum computers, whereas the latter requires a quantum annealer. Across all hardware architectures and manufactures, the quantum computers available today share the property of being too error-prone to reliably execute involved quantum circuits as they typically arise from quantum optimization algorithms. In order to characterize the limits of existing quantum computers, many component and system level benchmarks have been proposed. However, owing to the complex nature of the errors in quantum systems these benchmark fail to provide predictive power beyond simple quantum circuits and small examples. Application oriented benchmarks have been proposed to remedy this problem, but both, results from real quantum systems as well as use cases beyond constructed academic examples, remain very rare. This paper addresses precisely this gap by considering two industrial relevant use cases: one in the realm of optimizing charging schedules for electric vehicles, the other concerned with the optimization of truck routes. Our central contribution are systematic series of examples derived from these uses cases that we execute on different processors of the gate-based quantum computers of IBM as well as on the quantum annealer of D-Wave.
Complex optimization problems, such as traffic routing and electric vehicle (EV) charging scheduling, are becoming increasingly challenging for intelligent transportation systems (ITSs), in particular as computational resources are limited and network conditions evolve frequently. This paper explores a quantum computing approach to address these issues by proposing a hybrid quantum-classical (HQC) workflow that leverages the variational quantum eigensolver (VQE), an algorithm particularly well suited for execution on noisy intermediate-scale quantum (NISQ) hardware. To this end, the EV charging scheduling and traffic routing problems are both reformulated as binary optimization problems and then encoded into Ising Hamiltonians. Within each VQE iteration, a parametrized quantum circuit (PQC) is prepared and measured on the quantum processor to evaluate the Hamiltonian’s expectation value, while a classical optimizer—such as COBYLA, SPSA, Adam, or RMSProp—updates the circuit parameters until convergence. In order to find optimal or nearly optimal solutions, VQE uses PQCs in combination with classical optimization algorithms to iteratively minimize the problem Hamiltonian. Simulation results exhibit that the VQE-based method increases the efficiency of EV charging coordination and improves route selection performance. These results demonstrate how quantum computing will potentially advance optimization algorithms for next-generation ITSs, representing a practical step toward quantum-assisted mobility solutions.
The infrastructure development of electric vehicle charging stations (EVCS) is critical to the integration of electrical vehicles (EVs) into transportation systems, which requires significant investment and has long-term impact on the adoption of EVs. In this paper, a mathematical model is developed to identify the optimal placement of EVCS by utilizing a novel quantum annealing (QA) algorithm and quantum computation (QC). The objective of the optimization model is to determine the locations of EVCS that maximize their service quality for EV users. The model is validated using a real-world case study and solved using commercially available quantum computers from D-Wave. The case study shows that the QA algorithm can find the optimal placement of EVCS within seconds. The quality of the solutions obtained using QC is not sensitive to the shape or size of the area where EVCS are to be deployed.
The electric vehicle (EV) industry is currently afflicted with inefficient charging systems. Considering the growing adoption of EVs, optimization strategies for efficient charging, and overcoming constraints such as limited power supply and extended waiting times, are required. The knapsack algorithm, a classical technique that maximizes value and capacity, enables the efficient utilization of the limited available power supply while minimizing waiting times in EV charging scenarios. However, the knapsack problem is notoriously NP-hard, making it difficult to find efficient solutions classically. In this paper, we propose an approach that leverages the quantum approximation optimization algorithm (QAOA) to resolve the EV charging problem using a knapsack-based formulation. By incorporating a knapsack problem constraint into the QAOA, we overcome the limitations of the original QAOA method and provide a potential solution to the knapsack problem. We extensively evaluate and analyze the effectiveness of our approach in finding optimal EV charging solutions in both noise-free simulations and noisy real quantum devices. The proposed approach achieves impressive approximation ratios of up to 100% and 50% in noise-free and noisy environments, respectively. Even with small circuit sizes, we confirm that our approach can find optimal solutions effectively.
In this paper, the problem of charging electric motor vehicles on a motorway is considered. Charging points are located alongside the motorway. It is assumed that there are a number of vehicles on a given section of a motorway. In the motorway, there are several nodes, and for each vehicle, the entering and the leaving nodes are known, as well as the time of entrance. For each vehicle, we know the total capacity of its battery, and the current amount of energy in the battery when entering the motorway. It is also assumed that for each vehicle, there is a finite set of speeds it can use when traveling the motorway. The speed is chosen when entering the motorway, and cannot be changed before reaching the charging station. For each speed, there is given a corresponding power usage; the higher the speed, the larger the power usage. Each vehicle can only use one charger, and when its battery is full, the amount of energy is sufficient for reaching the outgoing node. We look for a feasible solution to the problem, i.e., a solution in which no vehicle has to wait for a charger. The problem is formulated as a problem of scheduling independent, nonpreemptable jobs in parallel, unrelated machines under an additional doubly constrained resource, which is power. Quantum approaches to solve the defined problem are proposed. They use the quantum approximate optimization algorithm and the quantum annealing technique. A computational experiment is presented and discussed. Some conclusions and directions for future research are given.