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A concise guide to existing and emerging vehicle routing problem variants (1906.06750v2)

Published 16 Jun 2019 in cs.DM, cs.AI, and cs.DS

Abstract: Vehicle routing problems have been the focus of extensive research over the past sixty years, driven by their economic importance and their theoretical interest. The diversity of applications has motivated the study of a myriad of problem variants with different attributes. In this article, we provide a concise overview of existing and emerging problem variants. Models are typically refined along three lines: considering more relevant objectives and performance metrics, integrating vehicle routing evaluations with other tactical decisions, and capturing fine-grained yet essential aspects of modern supply chains. We organize the main problem attributes within this structured framework. We discuss recent research directions and pinpoint current shortcomings, recent successes, and emerging challenges.

Citations (217)

Summary

  • The paper classifies Vehicle Routing Problem (VRP) variants along three main dimensions: emergent objectives and metrics, integration with other logistics decisions, and detailed specification integrations.
  • Key classification dimensions cover evolving practical objectives like profitability and service quality, integrating VRP with strategic choices such as location and fleet composition, and incorporating specific real-world details like multi-echelon networks and diverse vehicle types.
  • The guide emphasizes the importance of aligning VRP research with real-world operational demands to inform strategic decisions and notes how future vehicle technology and business models will influence VRP research.

A Guide to Variants of the Vehicle Routing Problem

This essay provides an expert analysis of the paper titled "A concise guide to existing and emerging vehicle routing problem variants" authored by Thibaut Vidal, Peter Matl, and Gilbert Laporte. The vehicle routing problem (VRP) has been a critical subject of analysis within transportation and logistics optimization for over sixty years due to its significant economic implications. This paper presents a structured overview of existing and emerging VRP variants and organizes the main attributes impacting VRP models within a framework oriented around practical, real-world goals and challenges.

Overview and Classification of VRP Variants

The paper classifies VRP variants along three primary directions:

  1. Emergent Objectives and Metrics: This dimension focuses on moving beyond basic cost minimization to incorporate various performance metrics relevant to real-world applications. These include:
    • Profitability, measuring ratios like cost versus delivered quantity, and considering profit-maximizing strategies where applicable.
    • Service quality, establishing criteria for timetable regularity or goods perishability.
    • Workload balance and equity, significant in multi-route operations involving different resources.
    • Consistency, addressing temporal, spatial, and delivery consistencies to enhance operational likelihood.
    • Simplicity, focusing on creating operationally feasible, visually intuitive routes favored in consumer-facing services.
    • Reliability against uncertainties through robust optimization or stochastic programming approaches.
    • Externalities, accounting for environmental impacts like emissions or hazardous goods transport risks.
  2. Integration with Other Logistics Decisions: VRP models are often used to inform strategic and tactical business decisions, such as:
    • Districting to optimize territories for delivery.
    • Location routing integrating facility location choices with routing cost estimating.
    • Fleet composition, determining the optimal mix and size of vehicles for various service types.
    • Inventory and production management, particularly in vendor-managed inventory systems or complex supply chain networks.
  3. Detailed Specification Integrations: The paper highlights the need to integrate fine-grained details in the models:
    • Multigraph networks considering multiple potential paths per destination are crucial for real-life applications involving congestion or specific transportation modes.
    • Multi-echelon and two-tier distribution structures reflect modern logistics frameworks involving intermediate depots or hubs.
    • Complexities in urban logistics brought on by congestion, turn restrictions, and access constraints.
    • Inclusion of various vehicle types and capabilities, such as hybrid vehicle fleets or delivery drones, expanding traditional VRP perspectives.
    • Addressing regulations within driver schedules, such as HOS constraints and considerations for regulatory compliance.
    • Customer-centric requirement modeling, such as service types or constraints based on time windows, demand correlation, and skill necessity.

Analysis and Synthesis

The paper examines these dimensions with specific numerical analyses and case studies from recent research efforts, demonstrating ongoing challenges like scalability and multiperiod scenario integrations. Moreover, the work emphasizes that solving VRP variants should address meaningful practical queries and avoid arbitrary combinations of model attributes unless those combinations yield demonstrable advancements in theory or application.

Implications and Future Directions

The implications of their research underscore the pivotal role of VRP solutions in the advancement of more complex, integrated logistics networks. By aligning VRP research closer to real-world operational demands, the paper highlights the potential for better informed strategic decisions across various industries. Looking forward, advancements in vehicle technology, such as electric vehicles and autonomous driving, and new business models may significantly influence future VRP research.

In conclusion, this paper provides a comprehensive overview of the diverse landscape of VRP variants, emphasizing their role in bridging theoretical research and practical logistics applications. It calls for continued methodological advancements to cope with increasing complexity and the dynamic nature of logistics challenges in modern societies.