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A Sampling-Based Metaheuristic for the Orienteering Problem with Stochastic Travel Times

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Theory and Practice of Natural Computing (TPNC 2016)

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Abstract

In this paper we propose a new metaheuristic approach based on sampling for the Orienteering Problem with Stochastic Travel Times (OPSTS). As in many Stochastic Combinatorial Optimization Problems, the computational bottleneck of OPSTS is in the objective function evaluation. For this reason, this study is mainly devoted to the development and integration of on-purpose, sampling-based fast objective function evaluations into metaheuristic methods. In details, we show how a Variable Neighbourhood Search Metaheuristic can be enhanced by adopting such evaluators. Experimental results show that the new sampling-based method is faster than conventional methods for the given problem, and the improvement is particularly relevant for large-scale instances.

V. Papapanagiotou—Supported by the Swiss National Science Foundation through project 200020-156259/1: “Hybrid Sampling-based Metaheuristics for Stochastic Optimization Problems with Deadlines”.

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References

  1. Balas, E.: The prize collecting traveling salesman problem: Ii. polyhedral results. Networks 25(4), 199–216 (1995). http://dx.doi.org/10.1002/net.3230250406

    Article  MathSciNet  MATH  Google Scholar 

  2. Birattari, M., Balaprakash, P., Dorigo, M.: The ACO/F-race algorithm for combinatorial optimization under uncertainty. In: Doerner, K.F., Gendreau, M., Greistorfer, P., Gutjahr, W., Hartl, R.F., Reimann, M. (eds.) Metaheuristics. Operations Research/Computer Science Interfaces Series, vol. 39, pp. 189–203. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Campbell, A., Gendreau, M., Thomas, B.: The orienteering problem with stochastic travel and service times. Ann. Oper. Res. 186, 61–81 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  4. Feillet, D., Dejax, P., Gendreau, M.: Traveling salesman problems with profits. Transp. Sci. 39(2), 188–205 (2005)

    Article  Google Scholar 

  5. Gutjahr, W.J.: S-ACO: an ant-based approach to combinatorial optimization under uncertainty. In: Dorigo, M., Birattari, M., Blum, C., Gambardella, L.M., Mondada, F., Stützle, T. (eds.) ANTS 2004. LNCS, vol. 3172, pp. 238–249. Springer, Heidelberg (2004). doi:10.1007/978-3-540-28646-2_21

    Chapter  Google Scholar 

  6. Johnson, N.L., Kotz, S., Balakrishnan, N.: Continuous Multivariate Distributions, vol. 1, Models and Applications, vol. 59. New York: John Wiley & Sons (2002)

    Google Scholar 

  7. Lei, C., Lin, W., Miao, L.: A multicut l-shaped based algorithm to solve a stochastic programming model for the mobile facility routing and scheduling problem. Eur. J. Oper. Res. 238(3), 699–710 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  8. Mladenović, N., Hansen, P.: Variable neighborhood search. Comput. Oper. Res. 24(11), 1097–1100 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  9. Papapanagiotou, V., Montemanni, R., Gambardella, L.: Objective function evaluation methods for the orienteering problem with stochastic travel and service times. J. Appl. Oper. Res. 6(1), 16–29 (2014)

    MATH  Google Scholar 

  10. Papapanagiotou, V., Montemanni, R., Gambardella, L.: Further results for opsts, caor (2015). http://people.idsia.ch/~papapanagio/

  11. Papapanagiotou, V., Montemanni, R., Gambardella, L.: Hybrid sampling-based evaluators for the orienteering problem with stochastic travel and service times. J. Traffic Logistics Eng. 3(2), 1–25 (2015)

    Article  MATH  Google Scholar 

  12. Papapanagiotou, V., Montemanni, R., Gambardella, L.: Sampling-based objective function evaluation techniques for the orienteering problem with stochastic travel and service times. German Oper. Res. Soc. (GOR) (to appear)

    Google Scholar 

  13. Papapanagiotou, V., Weyland, D., Montemanni, R., Gambardella, L.: A sampling-based approximation of the objective function of the orienteering problem with stochastic travel and service times. In: 5th International Conference on Applied Operational Research, Proceedings, Lecture Notes in Management Science, pp. 143–152 (2013)

    Google Scholar 

  14. Vansteenwegen, P., Souffriau, W., Oudheusden, D.: The orienteering problem: A survey. Eur. J. Oper. Res. 209(1), 1–10 (2011). http://www.sciencedirect.com/science/article/pii/S0377221710002973

    Article  MathSciNet  MATH  Google Scholar 

  15. Rauner, M., Gutjahr, W., Brailsford, S., Zeppelzauer, W.: Optimal screening policies for diabetic retinopathy using a combined discrete-event simulation and ant colony optimization approach (2005)

    Google Scholar 

  16. Schrimpf, G., Schneider, J., Stamm-Wilbrandt, H., Dueck, G.: Record breaking optimization results using the ruin and recreate principle. J. Comput. Phys. 159(2), 139–171 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  17. Sevkli, Z., Sevilgen, F.E.: Variable neighborhood search for the orienteering problem. In: Levi, A., Savaş, E., Yenigün, H., Balcısoy, S., Saygın, Y. (eds.) ISCIS 2006. LNCS, vol. 4263, pp. 134–143. Springer, Heidelberg (2006). doi:10.1007/11902140_16

    Chapter  Google Scholar 

  18. Spall, J.: Introduction to stochastic search and optimization: estimation, simulation, and control, vol. 65. John Wiley & Sons (2005)

    Google Scholar 

  19. Weyland, D., Bianchi, L., Gambardella, L.: New heuristics for the probabilistic traveling salesman problem. In: Proceedings of the VIII Metaheuristic International Conference (MIC 2009) (2009)

    Google Scholar 

  20. Weyland, D., Montemanni, R., Gambardella, L.: Heuristics for the probabilistic traveling salesman problem with deadlines based on quasi-parallel monte carlo sampling, submitted for publication (2011)

    Google Scholar 

  21. Weyland, D., Montemanni, R., Gambardella, L.M.: Hardness results for the probabilistic traveling salesman problem with deadlines. In: Mahjoub, A.R., Markakis, V., Milis, I., Paschos, V.T. (eds.) ISCO 2012. LNCS, vol. 7422, pp. 392–403. Springer, Heidelberg (2012). doi:10.1007/978-3-642-32147-4_35

    Chapter  Google Scholar 

  22. Yoshitomi, Y., Yamaguchi, R.: A genetic algorithm and the monte carlo method for stochastic job-shop scheduling. Int. Trans. Oper. Res. 10(6), 577–596 (2003)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Roberto Montemanni .

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Papapanagiotou, V., Montemanni, R., Gambardella, L.M. (2016). A Sampling-Based Metaheuristic for the Orienteering Problem with Stochastic Travel Times. In: Martín-Vide, C., Mizuki, T., Vega-Rodríguez, M. (eds) Theory and Practice of Natural Computing. TPNC 2016. Lecture Notes in Computer Science(), vol 10071. Springer, Cham. https://doi.org/10.1007/978-3-319-49001-4_8

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  • DOI: https://doi.org/10.1007/978-3-319-49001-4_8

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