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Material transportation problems in construction projects under an uncertain environment

  • Transportation Engineering
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KSCE Journal of Civil Engineering Aims and scope

Abstract

Uncertainty is prevalent and unavoidable in business operations. This paper presents a mathematical model for the optimal routing of shipping raw materials to customers that requires simultaneous pickup and delivery with soft time windows for travel time in a fuzzy random environment. It minimizes total traveling time while maximizing customer satisfaction and meeting constraints characterized by fuzziness and randomness in pickup and travel time. The model is strong NP-hard. Through embedding of customer satisfaction as a constraint and converting fuzzy random variables into deterministic ones using expected values, a viable algorithm is developed using the Global-Local-Neighbor Particle Swarm Optimization (GLNPSO) technique, and tested by solving a real routing problem faced by a large construction project in China. Results are encouraging, both in solution quality and potential savings, to justify the solution method and model formulation.

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References

  • Ai, T. and Kachitvichyanukul, V. (2009a). “A particle swarm optimization for the vehicle routing problem with simultaneous pickup and delivery.” Computers & Operations Research, Vol. 36, pp.1693–1702.

    Article  MATH  Google Scholar 

  • Ai, T. J. and Kachitvichyanukul, V. (2009b). “Particle swarm optimization and two solution representations for solving the capacitated vehicle routing problem.” Computers & Industrial Engineering, Vol. 56, No. 1, pp. 380–387.

    Article  Google Scholar 

  • Ai, T. J. and Kachitvichyanukul, V. (2009c). “A particle swarm optimization for vehicle routing problem with time windows.” International Journal of Operational Research, Vol. 6, No. 4, pp. 519–537.

    Article  MATH  Google Scholar 

  • Alvarenga, G., Mateusb, G., and De Tomi, G. (2007). “A genetic and set partitioning two-phase approach for the vehicle routing problem with time windows.” Computers & Operations Research, Vol. 34, No. 6, pp. 1561–1584.

    Article  MATH  Google Scholar 

  • Baker, B. and Ayechewa, M. (2003). “A genetic algorithm for the vehicle routing problem.” Computers & Operations Research, Vol. 30, No. 5, pp. 787–800.

    Article  MATH  MathSciNet  Google Scholar 

  • Bertsimas, D. and Ryzin, G., (1991). “A stochastic and dynamic vehicle routing problem in the euclidean plane.” Operations Research, Vol. 39, No. 4, pp. 601–615.

    Article  MATH  Google Scholar 

  • Brito, J., Campos, C., Castro, J. P., Martinez, F. J., Melian, B., Moreno, J. A., and Moreno, J. M., (2008). “Fuzzy vehicle routing problem with time windows. ” Proceedings of IPMU 2008, pp. 1266–1273.

    Google Scholar 

  • Brito, J., Moreno, J. A., and Verdegay, J. L., (2009). “Fuzzy optimization in vehicle routing problems.” Citeseer, pp. 1547–1552.

    Google Scholar 

  • Cao, E. and Lai, M. (2009). “A hybrid differential evolution algorithm to vehicle routing problem with fuzzy demands.” Journal of Computational and Applied Mathematics, Vol. 231, No. 1, pp. 302–310.

    Article  MATH  MathSciNet  Google Scholar 

  • Cao, E. and Lai, M., (2010). “The open vehicle routing problem with fuzzy demands.” Expert Systems with Applications, Vol. 37, No. 3, pp. 2405–2411.

    Article  Google Scholar 

  • Dantzig, G. B. and Ramser, J. H. (1959). “The truck dispatching problem.” Management Science, Vol. 6, No. 1, pp. 80–91.

    Article  MATH  MathSciNet  Google Scholar 

  • Derigs, U. and Reuter, K. (2009). “A simple and efficient tabu search heuristic for solving the open vehicle routing problem.” Journal of the Operational Research Society, Vol. 60, No. 12, pp. 1658–1669.

    Article  MATH  Google Scholar 

  • Desrochers, M., Desrosiers, J., Solomon, M., (1992). “A new optimization algorithm for the vehicle routing problem with time windows.” Operations Research, Vol. 40, No. 2, pp. 342–354.

    Article  MATH  MathSciNet  Google Scholar 

  • Dong, Y. and Kitaoka, M. (2010). “Two-stage model of vehicle routing problem with fuzzy demand and its ant colony system algorithm.” The Ninth International Symposium on Operations Research and its Applications, pp. 136–143.

    Google Scholar 

  • Dutta, P., Chakraborty, D., and Roy, A. R. (2005). “A single-period inventory model with fuzzy random variable demand.” Mathematical and Computer Modelling, Vol. 41, pp. 915–922.

    Article  MATH  MathSciNet  Google Scholar 

  • Eksioglu, B., Vural, A., and Reisman, A. (2009). “The vehicle routing problem: A taxonomic review.” Computers & Industrial Engineering, Vol. 57, No. 4, pp. 1472–1483.

    Article  Google Scholar 

  • Fu, Z., Eglese, R., and Li, L., (2008). “A unified tabu search algorithm for vehicle routing problems with soft time windows.” Journal of the Operational Research Society, Vol. 59, No. 5, pp. 663–673.

    Article  MATH  Google Scholar 

  • Fuellerer, G., Doerner, K., Hartl, R. F., and Iori, M. (2009). “Ant colony optimization for the two-dimensional loading vehicle routing problem.” Computers & Operations Research, Vol. 36, No. 3, pp. 655–673.

    Article  MATH  Google Scholar 

  • Ganesh, K. and Narendran, T. (2008). “Taste: A two-phase heuristic to solve a routing problem with simultaneous delivery and pick-up.” The International Journal of Advanced Manufacturing Technology, Vol. 37, No. 11, pp. 1221–1231.

    Article  Google Scholar 

  • Gendreau, M., Laporte, G., and S覵in, R. (1996). “A tabu search heuristic for the vehicle routing problem with stochastic demands and customers.” Operations Research, Vol. 44, No. 4, pp. 469–477.

    Article  MATH  Google Scholar 

  • He, Y. and Xu, J. (2005). “A class of random fuzzy programming model and its application to vehicle routing problem.” World Journal of Modelling and Simulation, Vol. 1, No. 1, pp. 3–11.

    Google Scholar 

  • Heilpern, S. (1992). “The expected value of a fuzzy number.” Fuzzy Sets and Systems, Vol. 47, No. 1, pp. 81–86.

    Article  MATH  MathSciNet  Google Scholar 

  • Kenyon, A. S. and Morton, D. (2003). “Stochastic vehicle routing with random travel times.” Transportation Science, Vol. 37, No. 1, pp. 69–82.

    Article  Google Scholar 

  • Kruse, H. and Meyer, K. (1987). Statistics with vague data, Reidel Publishing Company.

    Book  MATH  Google Scholar 

  • Kwakernaak, H. (1978). “Fuzzy random variables-defiitions and theorems.” Information Sciences, Vol. 15, No. 1, pp. 1–29.

    Article  MATH  MathSciNet  Google Scholar 

  • Kwakernaak, H. (1979). “Fuzzy random variables-algorithms and examples for the discrete case.” Information Sciences, Vol. 17, No. 3, pp. 253–278.

    Article  MATH  MathSciNet  Google Scholar 

  • Malekly, H., Haddadi, B., and Tavakkoli-Moghadam, R. (2009). “A fuzzy random vehicle routing problem: The case of Iran.” Proceeding of the 39th International Conference on Computers & Industrial Engineering, pp. 1070–1075.

    Google Scholar 

  • Montane, F. A. T. and Galvao, R. D. (2002). “Vehicle routing problems with simultaneous pick-up and delivery service.” Opsearch, Vol. 39, No. 1, pp. 19–33.

    MATH  MathSciNet  Google Scholar 

  • Oh, J. (2005). “An algorithm to the multi-objective transportation network design problem.” KSCE Journal of Civil Engineering, KSCE, Vol. 9, No. 2, pp. 151–159.

    Google Scholar 

  • Oh, J., Kim, H., and Park, D.(2011). “Bi-objective network optimization for spatial and temporal coordination of multiple highway construction projects.” KSCE Journal of Civil Engineering, KSCE, Vol. 15, No. 8, pp. 1449–1455.

    Article  Google Scholar 

  • Ombuki, B., Ross, B. J., and Hanshar, F. (2006). “Multi-objective genetic algorithms for vehicle routing problem with time windows.” Applied Intelligence, Vol. 24, No. 1, pp. 17–30.

    Article  Google Scholar 

  • Pongchairerks, P. and Kachitvichyanukul, V. (2009). “Particle swarm optimization algorithm with multiple social learning structures.” International Journal of Operational Research, Vol. 6, No. 2, pp. 176–194.

    Article  MathSciNet  Google Scholar 

  • Sarhadi, H. and Ghoseiri, K. (2010). “An ant colony system approach for fuzzy traveling salesman problem with time windows.” The International Journal of Advanced Manufacturing Technology, Vol. 50, pp. 1203–1215.

    Article  Google Scholar 

  • Secomandi, N. and Margot, F. (2009). “Reoptimization approaches for the vehicle-routing problem with stochastic demands.” Operations Research, Vol. 57, No. 1, pp. 214–230.

    Article  MATH  Google Scholar 

  • Tan, K., Cheong, C., and Goh, C. (2007). “Solving multiobjective vehicle routing problem with stochastic demand via evolutionary computation.” European Journal of Operational Research, Vol. 117, No. 2, pp. 813–839.

    Article  Google Scholar 

  • Tang, J., Pan, Z., Fung, R. Y. K., and Lau, H. (2009). “Vehicle routing problem with fuzzy time windows.” Fuzzy Sets and Systems, Vol. 160, No. 5, pp. 683–695.

    Article  MATH  MathSciNet  Google Scholar 

  • Toth, P. and Vigo, D. (2002). The vehicle routing problem, Society for Industrial & Applied Mathematics,U.S.

    Book  MATH  Google Scholar 

  • Veeramachaneni, K., Peram, T., Mohan, C., and Osadciw, L. A. (2003). “Optimization using particle swarms with near neighbor interactions.” Proceedings of Genetic and Evolutionary Computation Conference, pp. 110–121.

    Google Scholar 

  • Xu, J. and Yang, Y. (2008). “A class of multiobjective vehicle routing optimal model under fuzzy random environment and its application.” World Journal of Modelling and Simulation, Vol. 4, No. 2, pp. 112–119.

    Google Scholar 

  • Xu, J., Yan, F., and Li, S. (2011). “Vehicle routing optimization with soft time windows in a fuzzy random environment.” Transportation Research Part E: Logistics and Transportation Review, Vol. 47, No. 6, pp. 1075–1091.

    Article  Google Scholar 

  • Zheng, Y. and Liu, B. (2006). “Fuzzy vehicle routing model with credibility measure and its hybrid intelligent algorithm.” Applied Mathematics and Computation, Vol. 176, No. 2, pp. 673–683.

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Jiuping Xu.

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Yan, F., Xu, J. & Han, B.T. Material transportation problems in construction projects under an uncertain environment. KSCE J Civ Eng 19, 2240–2251 (2015). https://doi.org/10.1007/s12205-015-0204-8

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  • DOI: https://doi.org/10.1007/s12205-015-0204-8

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