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Erschienen in: Wireless Personal Communications 1/2018

09.02.2018

A Goal-Robust-Optimization Approach for Solving Open Vehicle Routing Problems with Demand Uncertainty

verfasst von: Liang Sun, Bing Wang

Erschienen in: Wireless Personal Communications | Ausgabe 1/2018

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Abstract

We investigate a goal-robust-optimization approach for solving open vehicle routing problem with demand uncertainty. The approach obtains an optimal solution that minimizes the weighted sum of undesirable deviations from a predetermined time window; for any realizations of the demand-uncertainty set, the solution enables the cumulative travel time for each route to finish within a predetermined time window as closely as possible. To improve the probability of finding exact solution for the robust-optimization model using a heuristic algorithm, we also propose a particle swarm optimization based on genetic algorithms (HPSO-GA) within the framework of hyper-heuristic to solve the goal-robust-optimization model. The computational results demonstrate that the optimal solution obtained by our goal-robust-optimization approach substantially reduced the penalty cost incurred by deviations from a predetermined time window.

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Literatur
1.
Zurück zum Zitat Bertsimas, D. J. (1992). A vehicle routing problem with stochastic demand. Operational Research, 40, 574–585.MathSciNetCrossRef Bertsimas, D. J. (1992). A vehicle routing problem with stochastic demand. Operational Research, 40, 574–585.MathSciNetCrossRef
2.
Zurück zum Zitat Cao, E., & Lai, M. (2010). The open vehicle routing problem with fuzzy demands. Expert Systems with Applications, 37(3), 2405–2411.CrossRef Cao, E., & Lai, M. (2010). The open vehicle routing problem with fuzzy demands. Expert Systems with Applications, 37(3), 2405–2411.CrossRef
3.
Zurück zum Zitat Han, J., Lee, C., & Park, S. (2013). A robust scenario approach for the vehicle routing problem with uncertain travel times. Transportation Science, 48(3), 373–390.CrossRef Han, J., Lee, C., & Park, S. (2013). A robust scenario approach for the vehicle routing problem with uncertain travel times. Transportation Science, 48(3), 373–390.CrossRef
4.
Zurück zum Zitat Adulyasak, Y., & Jaillet, P. (2015). Models and algorithms for stochastic and robust vehicle routing with deadlines. Transportation Science, 50(2), 608–626.CrossRef Adulyasak, Y., & Jaillet, P. (2015). Models and algorithms for stochastic and robust vehicle routing with deadlines. Transportation Science, 50(2), 608–626.CrossRef
5.
Zurück zum Zitat Sungur, I., Ordóñez, F., & Dessouky, M. (2008). A robust optimization approach for the capacitated vehicle routing problem with demand uncertainty. IIE Transactions, 40(5), 509–523.CrossRef Sungur, I., Ordóñez, F., & Dessouky, M. (2008). A robust optimization approach for the capacitated vehicle routing problem with demand uncertainty. IIE Transactions, 40(5), 509–523.CrossRef
6.
Zurück zum Zitat Gounaris, C. E., Wiesemann, W., & Floudas, C. A. (2013). The robust capacitated vehicle routing problem under demand uncertainty. Operational Research, 61(3), 677–693.MathSciNetCrossRef Gounaris, C. E., Wiesemann, W., & Floudas, C. A. (2013). The robust capacitated vehicle routing problem under demand uncertainty. Operational Research, 61(3), 677–693.MathSciNetCrossRef
7.
Zurück zum Zitat Lee, C., Lee, K., & Park, S. (2011). Robust vehicle routing problem with deadlines and travel time/demand uncertainty. Journal of the Operational Research Society, 63(9), 1294–1306.CrossRef Lee, C., Lee, K., & Park, S. (2011). Robust vehicle routing problem with deadlines and travel time/demand uncertainty. Journal of the Operational Research Society, 63(9), 1294–1306.CrossRef
8.
Zurück zum Zitat Agra, A., Christiansen, M., Figueiredo, R., et al. (2013). The robust vehicle routing problem with time windows. Computers & Operations Research, 40(3), 856–866.MathSciNetCrossRef Agra, A., Christiansen, M., Figueiredo, R., et al. (2013). The robust vehicle routing problem with time windows. Computers & Operations Research, 40(3), 856–866.MathSciNetCrossRef
9.
Zurück zum Zitat Cao, E., Lai, M., & Yang, H. (2014). Open vehicle routing problem with demand uncertainty and its robust strategies. Expert Systems with Applications, 41(7), 3569–3575.CrossRef Cao, E., Lai, M., & Yang, H. (2014). Open vehicle routing problem with demand uncertainty and its robust strategies. Expert Systems with Applications, 41(7), 3569–3575.CrossRef
10.
Zurück zum Zitat Lei, W., Mhand, H., & Hiba, B. (2017). A new robust criterion for the vehicle routing problem with uncertain travel time. Computers & Industrial Engineering, 112, 607–615.CrossRef Lei, W., Mhand, H., & Hiba, B. (2017). A new robust criterion for the vehicle routing problem with uncertain travel time. Computers & Industrial Engineering, 112, 607–615.CrossRef
11.
Zurück zum Zitat Gounaris, C. E., Repoussis, P. P., Tarantilis, C. D., et al. (2014). An adaptive memory programming framework for the robust capacitated vehicle routing problem. Transportation Science, 50(4), 1239–1260.CrossRef Gounaris, C. E., Repoussis, P. P., Tarantilis, C. D., et al. (2014). An adaptive memory programming framework for the robust capacitated vehicle routing problem. Transportation Science, 50(4), 1239–1260.CrossRef
12.
Zurück zum Zitat Solano, C. E., Prins, C., & Santos, A. C. (2015). Local search based meta-heuristics for the robust vehicle routing problem with discrete scenarios. Applied Soft Computing, 32, 518–531.CrossRef Solano, C. E., Prins, C., & Santos, A. C. (2015). Local search based meta-heuristics for the robust vehicle routing problem with discrete scenarios. Applied Soft Computing, 32, 518–531.CrossRef
13.
Zurück zum Zitat Braaten, S., Gjønnes, O., Hvattum, L. M., et al. (2017). Heuristics for the robust vehicle routing problem with time windows. Expert Systems with Applications, 77, 136–147.CrossRef Braaten, S., Gjønnes, O., Hvattum, L. M., et al. (2017). Heuristics for the robust vehicle routing problem with time windows. Expert Systems with Applications, 77, 136–147.CrossRef
14.
Zurück zum Zitat Fischetti, M., & Monaci, M. (2009). Light robustness. In R. K. Ahuja, R. H. Möhring, & C. D. Zaroliagis (Eds.), Robust and online large-scale optimization (pp. 61–84). Berlin: Springer.CrossRef Fischetti, M., & Monaci, M. (2009). Light robustness. In R. K. Ahuja, R. H. Möhring, & C. D. Zaroliagis (Eds.), Robust and online large-scale optimization (pp. 61–84). Berlin: Springer.CrossRef
15.
Zurück zum Zitat Bertsimas, D., & Sim, M. (2009). Robust discrete optimization and network flows. Mathematical Programming, 98, 49–71.MathSciNetCrossRef Bertsimas, D., & Sim, M. (2009). Robust discrete optimization and network flows. Mathematical Programming, 98, 49–71.MathSciNetCrossRef
16.
Zurück zum Zitat Fisher, M. (1994). Optimal solution of vehicle routing problems using minimum k-trees. Operational Research, 42, 626–642.MathSciNetCrossRef Fisher, M. (1994). Optimal solution of vehicle routing problems using minimum k-trees. Operational Research, 42, 626–642.MathSciNetCrossRef
17.
Zurück zum Zitat Li, F., Golden, B., & Wasil, E. (2004). The open vehicle routing problem: Algorithms, large-scale test problems, and computational results. Computers & Operations Research, 34(10), 2918–2930.CrossRef Li, F., Golden, B., & Wasil, E. (2004). The open vehicle routing problem: Algorithms, large-scale test problems, and computational results. Computers & Operations Research, 34(10), 2918–2930.CrossRef
18.
Zurück zum Zitat Christofides, N., Mingozzi, A., & Toth, P. (1979). The vehicle routing problem. Combinatorial optimization (pp. 315–338). Chichester: Wiley.MATH Christofides, N., Mingozzi, A., & Toth, P. (1979). The vehicle routing problem. Combinatorial optimization (pp. 315–338). Chichester: Wiley.MATH
19.
Zurück zum Zitat Solomon, M. M. (1987). Algorithms for the vehicle routing and scheduling problems with time window constraints. Operations Research, 35(2), 254–265.MathSciNetCrossRef Solomon, M. M. (1987). Algorithms for the vehicle routing and scheduling problems with time window constraints. Operations Research, 35(2), 254–265.MathSciNetCrossRef
20.
Zurück zum Zitat Goldberg, D. E. (1989). Genetic algorithms in search, optimization, and machine learning. Reading: Addison Weekly.MATH Goldberg, D. E. (1989). Genetic algorithms in search, optimization, and machine learning. Reading: Addison Weekly.MATH
21.
Zurück zum Zitat Davis, L. (1991). Handbook of genetic algorithm. New york: Van nostrand reinhold. Davis, L. (1991). Handbook of genetic algorithm. New york: Van nostrand reinhold.
Metadaten
Titel
A Goal-Robust-Optimization Approach for Solving Open Vehicle Routing Problems with Demand Uncertainty
verfasst von
Liang Sun
Bing Wang
Publikationsdatum
09.02.2018
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 1/2018
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-018-5496-9

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