Electric buses (EBs) are considered a more environmentally friendly mode of public transit. In addition to other practical challenges, including high infrastructure costs and short driving ranges, the operations of EB...
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Electric buses (EBs) are considered a more environmentally friendly mode of public transit. In addition to other practical challenges, including high infrastructure costs and short driving ranges, the operations of EBs are more demanding due to the necessary battery charging activities. Consequently, more sophisticated optimisation models and algorithms are required for effective operations. This paper presents an EB scheduling problem with multiple termini and service routes. Various realistic but complicated factors, such as shared facilities at multiple termini, the flexibility of plugging and unplugging chargers before an EB is fully charged, stochastic travel times, and EB breakdowns, are considered. We propose an integrated learning and mixed -integerlinearprogramming (MILP) framework to overcome the computational difficulties when solving the problem. This framework leverages the strengths of reinforcement learning and MILP for fast computations due to its capability of learning from outcomes of state-action pairs and computational effectiveness guaranteed by the constraints governing the solution feasibility. Q -Learning and Twin Delayed Deep Deterministic Policy Gradient are adopted as our training methods. We conduct numerical experiments on artificial instances and realistic instances of a bus network in Hong Kong to assess the performance of our proposed approach. The results show that our proposed framework outperforms the benchmark optimisation approach, in terms of penalty on missed service trips, average headway, and variance of headway. The benefits of our proposed framework are more significant under a highly stochastic environment.
In modern power systems, renewable energy (RE) sources are increasingly integrated to reduce reliance on fossil-fuel-based generation. However, the uncertainties and lack of rotational inertia associated with renewabl...
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In modern power systems, renewable energy (RE) sources are increasingly integrated to reduce reliance on fossil-fuel-based generation. However, the uncertainties and lack of rotational inertia associated with renewable energy generators (REGs) pose challenges to grid stability. This paper proposes a novel mixed-integer linear programming (MILP) model that optimizes energy costs while enhancing system inertia in the presence of RE uncertainties. The model incorporates both REG uncertainties and inertia requirements into the planning process. To validate its effectiveness, RE uncertainty data from Mangaung Municipality, Free State Province, South Africa, is used for analysis, and the model is tested on the IEEE 6-bus test system. Simulation results demonstrate that the proposed approach improves system inertia from 5.875 s to 6.304 s while reducing energy costs from $1752.88/MWh to $1614.50/MWh in Case 3, where both RE uncertainties and system inertia are considered. These results show a clear advantage over Case 1 (cost minimization only) and Case 2 (inertia maximization only), highlighting the model’s ability to balance economic and stability objectives in renewable-integrated power grids.
This study addresses the challenge of disorderly large-scale electric vehicle (EV) charging and its impact on distribution networks by focusing on residential communities as key EV gathering places. We propose a dynam...
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Hydro-Quebec (HQ) is a vertically integrated utility that produces, transmits, and distributes most of the electricity in the province of Quebec. The power grid it operates has a particular architecture created by lar...
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Maintaining optimal voltage profiles and minimizing technical losses are critical challenges in power distribution systems, particularly under significant load fluctuations. This paper presents a novel mathematical mo...
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Maintaining optimal voltage profiles and minimizing technical losses are critical challenges in power distribution systems, particularly under significant load fluctuations. This paper presents a novel mathematical model that simultaneously optimizes voltage regulator (VR) placement and conductor selection (CS) using a mixed-integer linear programming (MILP) model. The model accounts for three distinct load periods, providing a realistic representation of real-world operating conditions. The principal advantage of using voltage regulators (VRs) and reconductoring is their ability to enhance voltage profiles and reduce technical losses. Two test systems, with 33 and 69 buses, were evaluated, and results demonstrated that the proposed multi-period MILP approach effectively performs optimal conductor selection (OCS) and optimal placement of voltage regulators (OPVRs), leading to substantial reductions in system losses and investment costs. Unlike the commonly employed metaheuristic techniques for addressing these problems, the proposed methodology ensures global optimality. Moreover, the integration of OCS and OPVRs has not been previously explored in the specialized literature. This approach represents a substantial advancement over traditional methods and plays a critical role in guaranteeing efficient power delivery in heavily loaded distribution networks.
This note establishes the characterization, existence and uniqueness of equi-normalized polytopic robust positively invariant sets for linear difference inclusions. The computation of this set results in a nonconvex o...
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Highway maintenance is key to achieve high transportation network performance. However, the presence of work zones represents a disruptive event for the traffic flow. In particular, different work zone configurations ...
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Highway maintenance is key to achieve high transportation network performance. However, the presence of work zones represents a disruptive event for the traffic flow. In particular, different work zone configurations have different impacts on traffic. Hence, providing a decision support tool to optimize the maintenance planning process on the highways is necessary to mitigate the impacts of work zones on traffic flow. In this paper, a novel approach is presented which considers the maintenance efficiency, the work zone configurations and the transport demand. The proposed approach applied traffic simulation to investigate traffic impacts of different work zone configurations along the network. Then the microscopic fundamental traffic characteristics, obtained from the simulation, are used as an input for the mixed-integer linear programming (MILP) model to optimize and prioritize the maintenance operations. The proposed approach is applied to a real case study in an Italian highway network. Results indicate the effectiveness and applicability of the proposed approach.
We propose an interactive reference point approach for multiple objective (mixed) integerlinearprogramming problems that exploits the use of branch-and-bound techniques for serving the scalarizing programs. At each ...
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We propose an interactive reference point approach for multiple objective (mixed) integerlinearprogramming problems that exploits the use of branch-and-bound techniques for serving the scalarizing programs. At each dialogue phase, the decision maker must specify a criterion reference point or just choose an objective function he/she wants to improve in respect to the previous efficient (nondominated) solution. In the tatter case, a directional search is performed adjusting automatically the reference point used at each stage. Tchebycheff mixed-integer scalarizing programs are successively solved by branch-and-bound. Postoptimality techniques have been developed enabling the algorithm to profit from previous computations to solve the next scalarizing programs. The previous branch-and-bound tree is used as a starting point and operations of simplification and branching are then performed to obtain a new efficient solution. Computational results have shown that this approach is effective for carrying out directional or local searches for efficient solutions. (C) 2000 Elsevier Science B.V. All rights reserved.
This paper investigates the finite-horizon distributionally robust mixed-integer control (DRMIC) of uncertain linear systems. However, deriving an optimal causal feedback control policy to this DRMIC problem is comput...
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Importance of aggregating distributed energy resources (DERs) capacity to procure high-performance frequency regulation services ensuring adequate flexibility for renewable-rich power systems is increasing. Meanwhile,...
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