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Modern implementation of the hybrid genetic search (HGS) algorithm specialized to the capacitated vehicle routing problem (CVRP). This code also includes an additional neighborhood called SWAP*.

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HGS-CVRP: A modern implementation of the Hybrid Genetic Search for the CVRP

This is a modern implementation of the Hybrid Genetic Search (HGS) with Advanced Diversity Control of [1], specialized to the Capacitated Vehicle Routing Problem (CVRP).

The C++ code of this algorithm has been designed to be transparent, specialized, and extremely concise, retaining only the core elements that make this method a success. Beyond a simple reimplementation of the original algorithm, this code also includes speed-up strategies and methodological improvements learned over the past decade of research and dedicated to the CVRP. In particular, it relies on an additional neighborhood called SWAP* which consists in exchanging two customers between different routes without an insertion in place.

References

When using this algorithm (or part of it) in derived academic studies, please refer to the following works:

[1] Vidal, T., Crainic, T. G., Gendreau, M., Lahrichi, N., Rei, W. (2012). A hybrid genetic algorithm for multidepot and periodic vehicle routing problems. Operations Research, 60(3), 611-624. (Available HERE in technical report form).

[2] Vidal, T. (2020). Hybrid genetic search for the CVRP: Open-source implementation and SWAP* neighborhood. Technical Report PUC-Rio. Available in ArXiV: https://arxiv.org/abs/2012.10384.

Scope

This code has been designed to solve the "canonical" Capacitated Vehicle Routing Problem (CVRP). It can also directly handle asymmetric distances as well as duration constraints.

This version of the code has been designed and calibrated for medium-scale instances with up to 1,000 customers. It is not designed in its current form to run very-large scale instances (e.g., with over 5,000 customers), as this requires additional solution strategies (e.g., decompositions and additional neighborhood limitations). If you need to solve problems outside of this algorithm's scope, do not hesitate to contact me at vidalt@inf.puc-rio.br.

Running the algorithm

  • Enter the Program directory: cd Program
  • Run the make command: make test
  • Try another example: ./genvrp ../Instances/CVRP/X-n157-k13.vrp mySolution.sol -seed 1 -t 30

The following options are supported:

Usage:
  ./genvrp instancePath solPath [-it nbIter] [-t myCPUtime] [-bks bksPath] [-seed mySeed] [-veh nbVehicles]
Available options:
  -it           Sets a maximum number of iterations without improvement. Defaults to 20,000
  -t            Sets a time limit in seconds. If this parameter is set, the code will be restart iteratively until the time limit
  -bks          Sets an optional path to a BKS in CVRPLib format. This file will be overwritten in case of improvement 
  -seed         Sets a fixed seed. Defaults to 0     
  -veh          Sets a prescribed fleet size. Otherwise a reasonable UB on the fleet size is calculated

If you wish to solve instances that include duration constraints, please activate the following line of code: https://github.com/vidalt/HGS-CVRP/blob/main/Program/LocalSearch.h#L149

Moreover, there exist different conventions regarding distance calculations in the academic literature. The default code behavior is to apply integer rounding, as it should be done on the X instances of Uchoa et al. (2017). To change this behavior, for example, when testing on the CMT or Golden instances, set isRoundingInteger = false at https://github.com/vidalt/HGS-CVRP/blob/main/Program/Params.cpp#L12

Code structure

The code structure is documented in [2] and organized in the following manner:

  • Individual: Represents an individual solution in the genetic algorithm, also provide I/O functions to read and write individual solutions in CVRPLib format.
  • Population: Stores the solutions of the genetic algorithm into two different groups according to their feasibility. Also includes the functions in charge of diversity management.
  • Genetic: Contains the main procedures of the genetic algorithm as well as the crossover.
  • LocalSearch: Includes the local search functions, including the SWAP* neighborhood.
  • LocalSearch: A small code used to represent and manage arc sectors (to efficiently restrict the SWAP* neighborhood).
  • Params: Stores the method parameters, instance data and I/O functions.
  • Commandline: Reads the line of command.
  • Solver: Contains all of the HGS algorithm's population mechanisms.
  • main: Main code to start the algorithm.

Contributing

Thank you for your interest in this code. Your help is welcome to maintain and improve this code. Before any major pull request or contribution, I recommend to contact me by email at vidalt@inf.puc-rio.br.

The goal of this code is to stay simple and specialized to the CVRP. Therefore, contributions that aim to extend this approach to different variants of the vehicle routing problem should usually remain in a separate repository. Similarly, contributions that require additional libraries are usually not recommended to ensure portability.

There are two main types of contributions:

  • Changes that do not impact the sequence of solutions found by the HGS algorithm when running make test or testing other instances with a fixed seed. This is visible by comparing the average solution value in the population and diversity through a test run. Such contributions include refactoring, simplification, and code optimization. In this case, please attach the new log obtained before and after your changes. Pull requests of this type are likely to be integrated more quickly.
  • Changes that impact the sequence of solutions found by the algorithm when running make test. In this case, I recommend to contact me beforehand with (i) a detailed description of the changes, (ii) detailed results on 10 runs of the algorithm for each of the 100 instances of Uchoa et al. (2017) before and after the changes, using the same termination criterion as used in 2.

If your contribution involves some components that impact the sequence of solutions and others that do not impact it, then I recommend making two separate pull requests to facilitate the review of those changes.

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Modern implementation of the hybrid genetic search (HGS) algorithm specialized to the capacitated vehicle routing problem (CVRP). This code also includes an additional neighborhood called SWAP*.

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