Open research questions in Vehicle Routing Optimization Methods
70 gap statements mined from Vehicle Routing Optimization Methods papers in our 4.5M-paper local library, which holds 1,293 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.
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What the literature leaves open
The need to maintain high time-window reliability at reasonable cost. The challenge of directly handling joint chance constraints.
A Stochastic Model Predictive Control Strategy for Vehicle Routing with Correlated Stochastic Service Times · 2026 · DOIThe lack of effective methods for handling uncertainty in Vehicle Routing Problems. The need for a strategy that can maintain high time-window reliability at reasonable cost. The gap in integrating chance-constrained optimization with Model Predictive Control in VRPTW.
A Stochastic Model Predictive Control Strategy for Vehicle Routing with Correlated Stochastic Service Times · 2026 · DOIFuture research can focus on extending the proposed method to other micro-mobility services. Future research can focus on comparing the proposed method with other optimization methods. Future research can focus on evaluating the proposed method in real-world scenarios.
Micro-mobility dispatch optimization via quantum annealing incorporating historical data · 2026 · DOIThe paper identifies a research gap in the lack of efficient and adaptive dispatch algorithms for micro-mobility services. The paper identifies a research gap in the lack of incorporation of historical usage data in dispatch formulations.
Micro-mobility dispatch optimization via quantum annealing incorporating historical data · 2026 · DOIThe generalized assignment problem with routing constraints is a complex problem that requires effective solutions. Prior work on the problem has limitations and gaps that need to be addressed.
Learn to Formulate: A Surrogate Model Framework for Generalized Assignment Problem with Routing Constraints · 2026 · DOIFurther research can be done to test the algorithm on large-scale cases and real-world applications. The method can be extended to other logistics systems with similar constraints and objectives.
Research on Cold Chain Logistics Route Optimization Based on Improved Genetic Algorithm · 2026 · DOIThe study suggests further research on the application of the proposed framework. The study recommends evaluating the framework with different datasets and scenarios.
An Integrated Circular Intuitionistic Fuzzy MCDM Framework with Radius Operators for Same-Day Delivery Service Selection · 2026 · DOIThe study addresses the uncertainty and ambiguity in the evaluation of alternatives.
An Integrated Circular Intuitionistic Fuzzy MCDM Framework with Radius Operators for Same-Day Delivery Service Selection · 2026 · DOI14669/AM/214254 23 or catastrophes, such as the COVID-19, as resilience, and the evidence on supply chain resilience may contradict the lack of robustness we claim in this work, so further investigation is needed. Hence, further investigation into the role of structural stability into overall robustness and resilience, should be addressed.
The lack of adaptability to changing situations in real-time is a gap in current methods. Traditional static routing methods are ineffective in dynamic and uncertain operational conditions.
Methods of deep reinforcement learning for adaptive optimization of military logistics routes · 2026 · DOIThe location-routing problem in the pallet pooling system is a challenging problem due to demand uncertainty. There is a lack of studies that address the location-routing problem in the pallet pooling system using a mixed-integer linear programming model and a heuristic algorithm.
In many cases, it achieves optimal solutions when such solutions are known and remains competitive when the exact method cannot close the optimality gap. There are several potential directions for future research. On the exact side, improving the efficiency of the pricing algorithm –such as through stronger dominance rules or tighter upper bounds– appears crucial for extending the size of solvable instances.
Current research on AGV system task allocation primarily focuses on unmanned automated terminals and goods-to-picker picking systems, with limited attention to express distribution centers. There is a lack of studies on the assignment problem of AGV sorting systems in express distribution centers.
The optimization of cold chain logistics distribution is a complex problem due to temperature control requirements and multiple operational constraints. Existing research mainly focuses on cost control, carbon emission constraints, and distribution efficiency, but may not fully address the complexities of cold chain logistics.
Research on Cold Chain Logistics Route Optimization Based on Improved Genetic Algorithm · 2026 · DOIThe Capacitated Arc Routing Problem does not account for priority edges. Prior algorithms for CARP do not consider priority edges.
Applying priority edges for Capacitated Arc Routing Problem: problem extension and genetic algorithm · 2026 · DOITo apply the HS-CW method to other fields where the location-allocation problem is relevant. To compare the HS-CW method with other metaheuristic algorithms. To use the HS-CW method in real-world problems to test its efficiency.
Harmony Search with Clarke and Wright Savings in Solving the Location-Allocation Vehicle Routing Problem · 2026 · DOIThe existing mathematical linear programming was not able to solve the location-allocation vehicle routing problem efficiently. The Harmony Search algorithm was not able to provide the optimal solution for the location-allocation vehicle routing problem.
Harmony Search with Clarke and Wright Savings in Solving the Location-Allocation Vehicle Routing Problem · 2026 · DOIInvestigating the application of GW-based methods to other large-scale assignment problems, - Exploring the use of different GW variants and parameters to improve solution quality and efficiency, - Developing more efficient algorithms for solving CQAP and related…
Gromov–Wasserstein Meets Combinatorial Optimization: A Scalable Solver for the Capacitated Quadratic Assignment Problem · 2026 · DOIClassical exact solvers are computationally infeasible for large-scale instances - Heuristic methods suffer from scalability limitations and sensitivity to local optima - The need for principled scalable approximations for the Capacitated Quadratic Assignment…
Gromov–Wasserstein Meets Combinatorial Optimization: A Scalable Solver for the Capacitated Quadratic Assignment Problem · 2026 · DOIConventional urban logistics models assume constant travel speeds, overlooking dynamic traffic conditions and customer time-window constraints on service quality. Conventional ant colony optimization algorithms optimize routing decisions but fail to explicitly coordinate vehicle service start times.
An Improved ACO for the Urban Logistics Delivery Problem Considering Dynamic Traffic Conditions and Customer Service Quality · 2026 · DOIEvaluation of Q-learning variants for other optimization problems. Comparison of Q-learning with other optimization methods. Application of the study's findings to real-world instances.
Reinforcement learning for solving optimization problems: Opportunities and limitations on the example of the assignment problem · 2026 · DOIThe sample size is limited (5 independent runs for each configuration) - The study may not fully capture the dispersion inherent in the stochastic genetic…
Using a significantly larger number of iterations (e.g., 30 or more) for genetic algorithm evaluation - Conducting an extended statistical analysis for confirmation of the absolute stability…
To further analyze the impact of demand uncertainty on the pallet pooling system. To develop more efficient algorithms to solve the combinatorial optimization problem. To apply the proposed model and algorithm to other logistics systems.
The study identifies a gap in the existing literature on discrete metaheuristic algorithms for solving permutation-based combinatorial optimization problems. The study aims to fill this gap by proposing a discrete adaptation of the enzyme action optimizer.
A discrete enzyme action optimizer for traveling salesman problems with a smart tourism routing application: a case study in Bitlis, Türkiye · 2026 · DOI
Most-cited papers in Vehicle Routing Optimization Methods
- The Truck Dispatching Problem · Management Science · 1959 · 3,725 citations
- Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints · Operations Research · 1987 · 3,433 citations
- An Effective Heuristic Algorithm for the Traveling-Salesman Problem · Operations Research · 1973 · 2,858 citations
- Scheduling of Vehicles from a Central Depot to a Number of Delivery Points · Operations Research · 1964 · 2,845 citations
- The Lagrangian Relaxation Method for Solving Integer Programming Problems · Management Science · 1981 · 1,522 citations
- Branch-and-Bound Methods: A Survey · Operations Research · 1966 · 1,338 citations
- A Method for Solving Traveling-Salesman Problems · Operations Research · 1958 · 1,212 citations
- Solution of a Large-Scale Traveling-Salesman Problem · Journal of the Operations Research Society of America · 1954 · 856 citations
- A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows · Operations Research · 1992 · 834 citations
- A Heuristic Algorithm for the Vehicle-Dispatch Problem · Operations Research · 1974 · 799 citations
Most recent work
- Heterogeneous attention-driven deep reinforcement learning for solving EVRPs with pickup-delivery and time windows · Applied Energy · 2026
- Multi-objective optimization for home health care scheduling under uncertainty using fuzzy logic and non-dominated sorting genetic algorithm II · Neural Computing and Applications · 2026
- The logistics vehicle charging station location selection and routing problem with partial recharging and shared fleets · Transportation Research Part E Logistics and Transportation Review · 2026
- Dynamic-aware deep reinforcement learning for heterogeneous fleet-based capacitated electric vehicle routing problems · Applied Energy · 2026
- Discrete Puma Optimizer to Solve Combinatorial Optimization Problems · International Journal of Computational Intelligence Systems · 2026
- A two-stage stochastic optimization framework for integrated passenger-freight bus transport under time-varying capacity constraints · Transportation Research Part C Emerging Technologies · 2026
- Deep reinforcement learning for the vehicle routing problem with route balancing · Transportation Research Part E Logistics and Transportation Review · 2026
- A hybrid NSGA-II and delayed local search approach for home healthcare scheduling and routing optimization · Applied Soft Computing · 2026
- Circular intuitionistic fuzzy Dombi Bonferroni mean aggregation operators and MEREC-RAFSI approach for optimizing vehicle routing software · Applied Soft Computing · 2026
- Improving last-mile delivery efficiency using cargo bikes and autonomous robots · European Journal of Operational Research · 2026
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