Abstract
In this paper we describe a procedure that automatically synthesizes a neighborhood from an ensemble of Mixed Integer Programming (MIP) and/or Constraint Programming (CP) models. We move on from a recent paper by Adamo et al. (2015) in which a neighborhood structure is automatically designed from a (single) MIP model through a three-step approach: (1) a semantic feature extraction from the MIP model; (2) the derivation of neighborhood design mechanisms based on these features; (3) an automatic configuration phase to find the “proper mix” of such mechanisms taking into account the instance distribution. Here, we extend the previous work in order to generate a suitable neighborhood from an ensemble of MIP and/or CP models of a given combinatorial optimization problem. Computational results show relevant improvements over the approach considering a single model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adamo, T., Ghiani, G., Grieco, A., Guerriero, E., Manni, E.: MIP neighborhood synthesis through semantic feature extraction and automatic algorithm configuration. Comput. Oper. Res. (2015, submitted). http://www.emanuelemanni.unisalento.it/Sito/Papers/MIPneighSynth.pdf
Cordeau, J.-F., Laporte, G., Savelsbergh, M.W., Vigo, D.: Vehicle routing. In: Barnhart C., Laporte, G. (eds.) Transportation. Handbook in OR & MS, vol. 14, pp. 367–428 (2006)
CP Optimizer Forum. https://www.ibm.com/developerworks/community/forums/ajax/download/77777777-0000-0000-0000-000014932402/b9379ac1-721e-4d9f-aa4f-e768de6502b4/attachment_14932402_cvrptw.mod
Danna, E., Rothberg, E., Le Pape, C.: Exploring relaxation induced neighborhoods to improve MIP solutions. Math. Prog. Ser. A 102, 71–90 (2005)
Fischetti, M., Lodi, A.: Local branching. Math. Prog. Ser. B. 98, 23–47 (2003)
Fischetti, M., Salazar-González, J.J., Toth, P.: A branch-and-cut algorithm for the symmetric generalized traveling salesman problem. Oper. Res. 45, 378–394 (1997)
Ghiani, G., Laporte, G., Manni, E.: Model-based automatic neighborhood design by unsupervised learning. Comput. Oper. Res. 54, 108–116 (2015)
Hutter, F., Hoos, H., H., Stützle, T.: Automatic algorithm configuration based on local search. In: Proceedings of AAAI-07, vol. 22, pp. 1152–1157 (2007)
Mouthuy, S., Van Hentenryck, P., Deville, Y.: Constraint-based very large-scale neighborhood search. Constraints 17, 87–122 (2012)
Parisini, F., Milano, M.: Sliced neighborhood search. Expert Syst. Appl. 39, 5739–5747 (2012)
Solomon, M.M.: Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper. Res. 35, 254–265 (1987)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing AG
About this paper
Cite this paper
Adamo, T., Calogiuri, T., Ghiani, G., Grieco, A., Guerriero, E., Manni, E. (2016). Neighborhood Synthesis from an Ensemble of MIP and CP Models. In: Festa, P., Sellmann, M., Vanschoren, J. (eds) Learning and Intelligent Optimization. LION 2016. Lecture Notes in Computer Science(), vol 10079. Springer, Cham. https://doi.org/10.1007/978-3-319-50349-3_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-50349-3_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-50348-6
Online ISBN: 978-3-319-50349-3
eBook Packages: Computer ScienceComputer Science (R0)