In this paper, we propose a fuzzy green vehicle routing problem with simultaneous pickup and delivery and time windows (F-GVRP-SPDTW), in which the amounts of fuel consumption and emission are estimated by a comprehensive modal emission model. A mixed integer nonlinear programming model is proposed to minimize the cost of fuel consumption and emissions of vehicles. Moreover, the fuzzy approach with credibility measure is applied under conditions in which both pickup and delivery demands are uncertain. To solve the problem, we have proposed an adaptive large neighborhood search heuristic by applying new removal and insertion operators. Finally, computational experiments are conducted on a set of benchmark instances from the literature to evaluate the efficiency of the proposed solution technique. The results indicate that the proposed solution method is capable of finding high quality solutions in most of the instances.
Mots-clés : Fuzzy, Green vehicle routing problem, ALNS, simultaneous pickup and delivery
@article{RO_2017__51_4_1151_0, author = {Majidi, Setareh and Hosseini-Motlagh, Seyyed-Mahdi and Yaghoubi, Saeed and Jokar, Abbas}, title = {Fuzzy green vehicle routing problem with simultaneous pickup {\textendash} delivery and time windows}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {1151--1176}, publisher = {EDP-Sciences}, volume = {51}, number = {4}, year = {2017}, doi = {10.1051/ro/2017007}, mrnumber = {3783939}, zbl = {1398.90026}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro/2017007/} }
TY - JOUR AU - Majidi, Setareh AU - Hosseini-Motlagh, Seyyed-Mahdi AU - Yaghoubi, Saeed AU - Jokar, Abbas TI - Fuzzy green vehicle routing problem with simultaneous pickup – delivery and time windows JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 1151 EP - 1176 VL - 51 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2017007/ DO - 10.1051/ro/2017007 LA - en ID - RO_2017__51_4_1151_0 ER -
%0 Journal Article %A Majidi, Setareh %A Hosseini-Motlagh, Seyyed-Mahdi %A Yaghoubi, Saeed %A Jokar, Abbas %T Fuzzy green vehicle routing problem with simultaneous pickup – delivery and time windows %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 1151-1176 %V 51 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2017007/ %R 10.1051/ro/2017007 %G en %F RO_2017__51_4_1151_0
Majidi, Setareh; Hosseini-Motlagh, Seyyed-Mahdi; Yaghoubi, Saeed; Jokar, Abbas. Fuzzy green vehicle routing problem with simultaneous pickup – delivery and time windows. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 1151-1176. doi : 10.1051/ro/2017007. http://archive.numdam.org/articles/10.1051/ro/2017007/
Routing and scheduling of vehicles and crews. Comput. Oper. Res. 10 (1983) 63–211. | DOI | MR
, , and ,The pollution-routing problem. Trans. Res. Part B: Methodol. 45 (2011) 1232–1250. | DOI
,M. Barth, T. Younglove and G. Scora, Development of a heavy-duty diesel modal emissions and fuel consumption model. California Partners for Advanced Transit and Highways (PATH) (2005).
The bi-objective Pollution-Routing Problem. Eur. J. Oper. Res. 232 (2014) 464–478. | DOI | MR | Zbl
, and ,Vehicle routing with stochastic demands: Properties and solution frameworks. Trans. Sci. 23 (1989) 166–176. | DOI | MR | Zbl
, and ,Stochastic vehicle routing with modified savings algorithm. Eur. J. Oper. Res. 23 (1986) 228–235. | DOI | MR | Zbl
and ,Vehicle routing and reverse logistics: the vehicle routing problem with simultaneous delivery and pick-up. OR Spektrum 23 (2001) 79–96. | DOI | MR | Zbl
,A comparative analysis of several vehicle emission models for road freight transportation. Trans. Res. Part D: Trans. Env. 6 (2011) 347–357. | DOI
, ,An adaptive large neighborhood search heuristic for the Pollution Routing Problem. Eur. J. Oper. Res. 223 (2012) 346–359. | DOI | MR | Zbl
, ,Solving the capacitated vehicle routing problem with environmental criteria based on real estimations in road transportation: a case study. Procedia-Social Behav. Sci. 20 (2011) 323–334. | DOI
, , and ,The time-dependent pollution-routing problem. Trans. Res. Part B: Methodol. 56 (2013) 265–293. | DOI
, , , ,Stochastic vehicle routing. Eur. J. Oper. Res. 88 (1996) 3–12. | DOI | Zbl
, and ,Solving a dynamic and stochastic vehicle routing problem with a sample scenario hedging heuristic. Trans. Sci. 40 (2006) 421–438. | DOI
, and ,I. Kara, B.Y. Kara and M.K. Yetis, Energy minimizing vehicle routing problem. In International Conference on Combinatorial Optimization and Applications. Springer Berlin Heidelberg (2007) 62–71. | MR | Zbl
The fleet size and mix pollution-routing problem. Trans. Res. Part B: Methodol. 70 (2014) 239–254. | DOI
, , and ,T. Vidal and F.C. Lucídio dos Anjos, A matheuristic approach for the Pollution-Routing Problem. Eur. J. Oper. Res. 243 (2015) 523–539. | DOI | MR
, ,The Impact of Depot Location, Fleet Composition and Routing on Emissions in City Logistics. Trans. Res. Part B: Methodol. 84 (2014) 81–102.
, , and ,H. Kopfer, J. Schönberger and H. Kopfer, Emissions Minimization Vehicle Routing Problem in Dependence of Different Vehicle Classes. Dynamics in Logistics (2013) 49–58.
A. Kaufmann, Introduction to the theory of fuzzy subsets. Academic Press, New York (1975). | MR
An integer L-shaped algorithm for the capacitated vehicle routing problem with stochastic demands. Oper. Res. 50 (2002) 415–423. | DOI | MR | Zbl
, and ,B.D. Liu, Uncertain Theory: An Introduction to its Axiomatic Foundations. Berlin: Springer Verlag(2004). | MR | Zbl
Chance constrained programming with fuzzy parameters. Fuzzy Sets Syst. 94 (1998) 227–237. | DOI | MR | Zbl
and ,Survey of green vehicle routing problem: Past and future trends. Expert Syst. Appl. 41 (2013) 1118–1138. | DOI
, , , and ,Vehicle routing and scheduling with time-varying data: A case study. J. Oper. Res. Soc. 61 (2010) 515–522. | DOI | Zbl
, and ,A developed model for Green Vehicle Routing Problem with simultaneous pickup and delivery and hard time windows and proposed a heuristic based on Adaptive Large Neighborhood Search. J. Ind. Eng. Res. Prod. Syst. 3 (2016) 149–165.
, , and ,Multi-objective vehicle routing problem with cost and emission. Soc. Behav. Sci. 160 (2014) 254–263. | DOI
, , and ,Fuzzy variables. Fuzzy Sets Syst. 1 (1987) 97–110. | DOI | MR | Zbl
,A General Heuristic for Vehicle Routing Problems. Comput. Oper. Res. 34 (2007) 2403–2435. | DOI | MR | Zbl
and ,A. Palmer, The development of an integrated routing and carbon dioxide emissions model for goods vehicles. Ph.D. thesis. Bedford, United Kingdom:Cranfield University (2007).
A new truck-routing approach for reducing fuel consumption and pollutants emission. Trans. Res. Part D: Transp. Environ. 16 (2011) 73–77. | DOI
,Variable neighborhood search for the stochastic and dynamic vehicle routing problem. Ann. Oper. Res. 236 (2016) 425–461. | DOI | MR | Zbl
, , and ,Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper. Res. 35 (1987) 254–265. | DOI | MR | Zbl
,Stochastic vehicle routing: a comprehensive approach. Eur. J. Oper. Res. 14 (1983) 371–385. | DOI | Zbl
and ,The multiple terminal delivery problem with probabilistic demands. Trans. Sci. 3 (1969) 192–204. | DOI
,Vehicle routing problem with stochastic travel times including soft time windows and service costs. Comput. Oper. Res. 40 (2013) 214–224. | DOI | MR | Zbl
, , and ,Green logistics at Eroski: A case study. Int. J. Prod. Econ. 131 (2011) 44–51. | DOI
, and ,Development of a fuel consumption optimization model for the capacitated vehicle routing problem. Comput. Oper. Res. 39 (2012) 1419–1431. | DOI | MR | Zbl
, , and ,Stochastic vehicle routing problem with restocking. Trans. Sci. 34 (2000) 99–112. | DOI | Zbl
, and ,Fuzzy vehicle routing model with credibility measure and its hybrid intelligent algorithm. Appl. Math. Comput. 176 (2006) 673–683. | MR | Zbl
and ,Fuzzy sets. Inf. Control 8 (1965) 338–353. | DOI | MR | Zbl
,Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 100 (1999) 9–34. | DOI
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