alns 1.0.3

A flexible implementation of the adaptive large neighbourhood search (ALNS) algorithm.

This package offers a general, well-documented and tested implementation of the adaptive large neighbourhood search (ALNS) meta-heuristic, based on the description given in Pisinger and Ropke (2010). It may be installed in the usual way as,

pip install alns

How to use

The alns package exposes two classes, ALNS and State. The first may be used to run the ALNS algorithm, the second may be subclassed to store a solution state - all it requires is to define an objective member function.

The ALNS algorithm must be supplied with an acceptance criterion, to determine the acceptance of a new solution state at each iteration. An overview of common acceptance criteria is given in Santini et al. (2018). Several have already been implemented for you, in alns.criteria,

• HillClimbing. The simplest acceptance criterion, hill-climbing solely accepts solutions improving the objective value.
• RecordToRecordTravel. This criterion only accepts solutions when the improvement meets some updating threshold.
• SimulatedAnnealing. This criterion accepts solutions when the scaled probability is bigger than some random number, using an updating temperature.

Each acceptance criterion inherits from AcceptanceCriterion, which may be used to write your own.

Examples

The examples/ directory features some example notebooks showcasing how the ALNS library may be used. Of particular interest are,

• The travelling salesman problem (TSP), here. We solve an instance of 131 cities to within 2.1% of optimality, using simple destroy and repair heuristics with a post-processing step.
• The cutting-stock problem (CSP), here. We solve an instance with 180 orders, over 165 distinct beam sizes. The total stock available amounts to 165 beams of length 1000. We solve the instance to within 1.35% of optimality in only a very limited number of iterations.

References

• Pisinger, D., and Ropke, S. (2010). Large Neighborhood Search. In M. Gendreau (Ed.), Handbook of Metaheuristics (2 ed., pp. 399-420). Springer.
• Santini, A., Ropke, S. & Hvattum, L.M. (2018). A comparison of acceptance criteria for the adaptive large neighbourhood search metaheuristic. Journal of Heuristics 24 (5): 783-815.