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Part of the book series: Studies in Computational Intelligence ((SCI,volume 144))

Summary

This chapter is motivated by the study of a real-world application on blood delivery. The Austrian Red Cross (ARC), a non-profit organization, is in charge of delivering blood to hospitals on their request. To reduce their operating costs through higher flexibility, the ARC is interested in changing the policy of delivering blood products. Therefore it wants to provide two different types of service: an urgent service which delivers the blood within one day and the other, regular service, within two days. Obviously the two services come at different prices.

We formalize this problem as a stochastic problem, with the objective to minimize the average long-run delivery costs, knowing the probabilities governing the requests of service. To solve real instances of our problem in a reasonable time, we propose three heuristic procedures whose core routine is an Ant Colony Optimization (ACO) algorithm, which differ from each other by the rule implemented to select the regular blood orders to serve immediately. We compare the three heuristics on both a set of real-world data and on a set of randomly generated synthetic data.

Computational results show the viability of our approach.

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References

  1. Andreatta, G., Lulli, G.: A multi-period TSP with stochastic regular and urgent demands. European Journal of Operational Research 185, 122–132 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  2. Angelelli, E., Savelsbergh, M.W.P., Speranza, M.G.: Competitive analysis of a dispatch policy for a dynamic multi-period routing problem. Operations Research Letters 35, 713–721 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Angelelli, E., Savelsbergh, M.W.P., Speranza, M.G.: Competitive analysis for dynamic multi-period uncapacitated routing problems. Networks 49, 308–317 (2005)

    Article  MathSciNet  Google Scholar 

  4. Bullnheimer, B., Hartl, R.F., Strauss, Ch.: A new rank based version of the ant system: A computational study. Central European Journal of Operations Research 7, 25–38 (1999)

    MathSciNet  MATH  Google Scholar 

  5. Butler, M., Williams, H.P., Yarrow, L.A.: The two-period travelling salesman problem applied to milk collection in Ireland. Computational Optimization and Applications 7, 291–306 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  6. Clarke, G., Wright, J.W.: Scheduling of vehicles from a central depot to a number of delivery points. Operations Research 12, 568–581 (1964)

    Article  Google Scholar 

  7. Doerner, K.F., Gutjahr, W.J., Hartl, R.F., Lulli, G.: A probabilistic two-day delivery vehicle routing problem. In: The Fifth Symposium on Transportation Analysis (TRISTAN V), Preprints, Le Gosier, Guadeloupe, French West Indies, June 13–18 (2004)

    Google Scholar 

  8. Dorigo, M., Stützle, T.: Ant Colony Optimization. MIT Press, Cambridge (2004)

    MATH  Google Scholar 

  9. Gendreau, M., Laporte, G., Seguin, R.: Stochastic vehicle routing. European Journal of Operational Research 88, 3–12 (1996)

    Article  MATH  Google Scholar 

  10. Hemmelmayr, V., Doerner, K.F., Hartl, R.F., Savelsbergh, M.W.P.: Delivery strategies for blood products supplies. OR Spectrum (to appear, 2008)

    Google Scholar 

  11. Powell, W.B., Jaillet, P., Odoni, A.R.: Stochastic and dynamic networks and routing. In: Ball, M.O., et al. (eds.) Handbook in Operations Research and Management Science, vol. 8: Network Routing, pp. 141–296. Elsevier, Amsterdam (1995)

    Google Scholar 

  12. Puterman, M.L.: Markov Decision Processes. Wiley, Chichester (1994)

    MATH  Google Scholar 

  13. Reimann, M., Stummer, M., Doerner, K.F.: A savings based ant system for the vehicle routing problem. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2002), July 2002, pp. 1317–1325. Morgan Kaufmann, San Francisco (2002)

    Google Scholar 

  14. Reimann, M., Doerner, K.F., Hartl, R.F.: D-Ants: Savings based ants divide and conquer the vehicle routing problem. Computers & Operations Research 31, 563–591 (2004)

    Article  MATH  Google Scholar 

  15. Toth, P., Vigo, D. (eds.): The Vehicle Routing Problem. SIAM Monographs on Discrete Mathematics and Applications, Philadelphia (2002)

    Google Scholar 

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Andreas Fink Franz Rothlauf

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Doerner, K.F., Gutjahr, W.J., Hartl, R.F., Lulli, G. (2008). Stochastic Local Search Procedures for the Probabilistic Two-Day Vehicle Routing Problem. In: Fink, A., Rothlauf, F. (eds) Advances in Computational Intelligence in Transport, Logistics, and Supply Chain Management. Studies in Computational Intelligence, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69390-1_8

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  • DOI: https://doi.org/10.1007/978-3-540-69390-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

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