메뉴 건너뛰기




Volumn 65, Issue 6, 2016, Pages 3993-4005

Improving the efficiency of stochastic vehicle routing: A partial lagrange multiplier method

Author keywords

mixed integer linear programming; partial Lagrange multiplier; stochastic vehicle routing; total unimodularity

Indexed keywords

BRANCH AND BOUND METHOD; COMPLEX NETWORKS; EFFICIENCY; GRAPH THEORY; INTEGER PROGRAMMING; MATRIX ALGEBRA; MOTOR TRANSPORTATION; NAVIGATION SYSTEMS; NETWORK ROUTING; OPTIMIZATION; ROADS AND STREETS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; TRANSPORTATION; VEHICLES;

EID: 84976467136     PISSN: 00189545     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVT.2015.2480964     Document Type: Article
Times cited : (51)

References (45)
  • 3
    • 84976504707 scopus 로고    scopus 로고
    • [Online] Available:
    • Yahoo News, "Where are the busiest roads in Singapore?" 2012. [Online]. Available: Https://sg.news.yahoo.com/blogs/fit-to-post-autos/where-busiest-roads-singapore-005656369.html
    • (2012) Where Are the Busiest Roads in Singapore?
  • 4
    • 33748131797 scopus 로고    scopus 로고
    • Optimal routing for maximizing the travel time reliability
    • Sep.
    • Y. Fan and Y. Nie, "Optimal routing for maximizing the travel time reliability," Netw. Spatial Econ., vol. 6, no. 3, pp. 333-344, Sep. 2006.
    • (2006) Netw. Spatial Econ. , vol.6 , Issue.3 , pp. 333-344
    • Fan, Y.1    Nie, Y.2
  • 5
    • 84907012872 scopus 로고    scopus 로고
    • Practical route planning under delay uncertainty: Stochastic shortest path queries
    • S. Lim, C. Sommer, E. Nikolova, and D. Rus, "Practical route planning under delay uncertainty: Stochastic shortest path queries," Robotics, pp. 249-251, 2013.
    • (2013) Robotics , pp. 249-251
    • Lim, S.1    Sommer, C.2    Nikolova, E.3    Rus, D.4
  • 6
    • 84886670312 scopus 로고    scopus 로고
    • Proactive vehicular traffic rerouting for lower travel time
    • Oct.
    • J. Pan, I. S. Popa, K. Zeitouni, and C. Borcea, "Proactive vehicular traffic rerouting for lower travel time," IEEE Trans. Veh. Technol., vol. 62, no. 8, pp. 3551-3568, Oct. 2013.
    • (2013) IEEE Trans. Veh. Technol. , vol.62 , Issue.8 , pp. 3551-3568
    • Pan, J.1    Popa, I.S.2    Zeitouni, K.3    Borcea, C.4
  • 8
    • 84961996281 scopus 로고    scopus 로고
    • Finding reliable shortest path in stochastic time-dependent network
    • Nov.
    • Y. Pan, L. Sun, and M. Ge, "Finding reliable shortest path in stochastic time-dependent network," Procedia-Social Behavioral Sci., vol. 96, pp. 451-460, Nov. 2013.
    • (2013) Procedia-Social Behavioral Sci. , vol.96 , pp. 451-460
    • Pan, Y.1    Sun, L.2    Ge, M.3
  • 9
    • 84937157307 scopus 로고    scopus 로고
    • Routing multiple cars in large scale networks: Minimizing road network breakdown probability
    • H. Guo, Z. Cao, J. Zhang, D. Niyato, and U. Fastenrath, "Routing multiple cars in large scale networks: Minimizing road network breakdown probability," in Proc. IEEE 17th Int. Conf. ITSC, 2014, pp. 2180-2187.
    • (2014) Proc. IEEE 17th Int. Conf. ITSC , pp. 2180-2187
    • Guo, H.1    Cao, Z.2    Zhang, J.3    Niyato, D.4    Fastenrath, U.5
  • 11
    • 0034187603 scopus 로고    scopus 로고
    • Least expected time paths in stochastic, time-varying transportation networks
    • E. D. Miller-Hooks and H. S. Mahmassani, "Least expected time paths in stochastic, time-varying transportation networks," Transp. Sci., vol. 34, no. 2, pp. 198-215, 2000.
    • (2000) Transp. Sci. , vol.34 , Issue.2 , pp. 198-215
    • Miller-Hooks, E.D.1    Mahmassani, H.S.2
  • 12
    • 0022769799 scopus 로고
    • The fastest path through a network with random timedependent travel times
    • Aug.
    • R. W. Hall, "The fastest path through a network with random timedependent travel times," Transp. Sci., vol. 20, no. 3, pp. 182-188, Aug. 1986.
    • (1986) Transp. Sci. , vol.20 , Issue.3 , pp. 182-188
    • Hall, R.W.1
  • 13
    • 33746036834 scopus 로고    scopus 로고
    • Optimal route planning under uncertainty
    • E. Nikolova, M. Brand, and D. R. Karger, "Optimal route planning under uncertainty," in Proc ICAPS, vol. 6, 2006, pp. 131-141.
    • (2006) Proc ICAPS , vol.6 , pp. 131-141
    • Nikolova, E.1    Brand, M.2    Karger, D.R.3
  • 15
    • 33750711704 scopus 로고    scopus 로고
    • Stochastic shortest paths via quasi-convex maximization
    • E. Nikolova, J. A. Kelner, M. Brand, and M. Mitzenmacher, "Stochastic shortest paths via quasi-convex maximization," in Proc. ESA, 2006, pp. 552-563.
    • (2006) Proc. ESA , pp. 552-563
    • Nikolova, E.1    Kelner, J.A.2    Brand, M.3    Mitzenmacher, M.4
  • 17
    • 84861986584 scopus 로고    scopus 로고
    • Stochastic shortest path problem with uncertain delays
    • J. Cheng, S. Kosuch, and A. Lisser, "Stochastic shortest path problem with uncertain delays," in Proc. ICORES, 2012, pp. 256-264.
    • (2012) Proc. ICORES , pp. 256-264
    • Cheng, J.1    Kosuch, S.2    Lisser, A.3
  • 18
    • 84868295656 scopus 로고    scopus 로고
    • Research challenges in combinatorial search
    • R. E. Korf, "Research challenges in combinatorial search.," in Proc. 26th AAAI Conf. Artif. Intell., 2012, pp. 2129-2133.
    • (2012) Proc. 26th AAAI Conf. Artif. Intell. , pp. 2129-2133
    • Korf, R.E.1
  • 21
    • 0030246424 scopus 로고    scopus 로고
    • Polynomial solvability of cost-based abduction
    • Sep.
    • E. Santos, Jr., and E. S. Santos, "Polynomial solvability of cost-based abduction," Artif. Intell., vol. 86, no. 1, pp. 157-170, Sep. 1996.
    • (1996) Artif. Intell. , vol.86 , Issue.1 , pp. 157-170
    • Santos, E.1    Santos, E.S.2
  • 22
    • 0000114112 scopus 로고
    • Computational experience with a primal-dual interior point method for linear programming
    • Jul.
    • I. J. Lustig, R. E. Marsten, and D. F. Shanno, "Computational experience with a primal-dual interior point method for linear programming," Linear Algebra Appl., vol. 152, pp. 191-222, Jul. 1991.
    • (1991) Linear Algebra Appl. , vol.152 , pp. 191-222
    • Lustig, I.J.1    Marsten, R.E.2    Shanno, D.F.3
  • 23
    • 33947705085 scopus 로고    scopus 로고
    • Partial lagrangian relaxation for general quadratic programming
    • Apr.
    • A. Faye and F. Roupin, "Partial lagrangian relaxation for general quadratic programming," 4OR, vol. 5, no. 1, pp. 75-88, Apr. 2007.
    • (2007) 4OR , vol.5 , Issue.1 , pp. 75-88
    • Faye, A.1    Roupin, F.2
  • 24
    • 62949170665 scopus 로고    scopus 로고
    • L1-norm methods for convex cardinality problems
    • Stanford, CA, USA: Stanford Univ. [Online]. Available:
    • S. Boyd, "l1-norm methods for convex cardinality problems," in Lecture Notes for EE364b. Stanford, CA, USA: Stanford Univ., 2007. [Online]. Available: Http://www.stanford.edu/class/ee364b
    • (2007) Lecture Notes for EE364b
    • Boyd, S.1
  • 25
    • 84896063322 scopus 로고    scopus 로고
    • An admissible heuristic for sas+ planning obtained from the state equation
    • B. Bonet, "An admissible heuristic for sas+ planning obtained from the state equation," in Proc. 23rd IJCAI, 2013, pp. 2268-2274.
    • (2013) Proc. 23rd IJCAI , pp. 2268-2274
    • Bonet, B.1
  • 27
    • 84880866150 scopus 로고    scopus 로고
    • The exponentiated subgradient algorithm for heuristic boolean programming
    • D. Schuurmans, F. Southey, and R. C. Holte, "The exponentiated subgradient algorithm for heuristic boolean programming," in Proc. 17th IJCAI, 2001, pp. 334-341.
    • (2001) Proc. 17th IJCAI , pp. 334-341
    • Schuurmans, D.1    Southey, F.2    Holte, R.C.3
  • 28
    • 68749087118 scopus 로고    scopus 로고
    • Conservation laws via the partial lagrangian and group invariant solutions for radial and two-dimensional free jets
    • Dec.
    • R. Naz, F. Mahomed, and D. Mason, "Conservation laws via the partial lagrangian and group invariant solutions for radial and two-dimensional free jets," Nonlinear Anal.: Real World Appl., vol. 10, no. 6, pp. 3457-3465, Dec. 2009.
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , Issue.6 , pp. 3457-3465
    • Naz, R.1    Mahomed, F.2    Mason, D.3
  • 29
    • 18444365957 scopus 로고    scopus 로고
    • Structure, duality, and randomization: Common themes in AI and or
    • C. P. Gomes, "Structure, duality, and randomization: Common themes in AI and OR," in Proc. 17th AAAI Conf. Artif. Intell., 2000, pp. 1152-1158.
    • (2000) Proc. 17th AAAI Conf. Artif. Intell. , pp. 1152-1158
    • Gomes, C.P.1
  • 31
    • 0013152010 scopus 로고    scopus 로고
    • The volume algorithm: Producing primal solutions with a subgradient method
    • May
    • F. Barahona and R. Anbil, "The volume algorithm: Producing primal solutions with a subgradient method," Math. Program., vol. 87, no. 3, pp. 385-399, May 2000.
    • (2000) Math. Program. , vol.87 , Issue.3 , pp. 385-399
    • Barahona, F.1    Anbil, R.2
  • 32
    • 0000908433 scopus 로고    scopus 로고
    • Convergence of a simple subgradient level method
    • May
    • J.-L. Goffin and K. C. Kiwiel, "Convergence of a simple subgradient level method," Math. Program., vol. 85, no. 1, pp. 207-211, May 1999.
    • (1999) Math. Program. , vol.85 , Issue.1 , pp. 207-211
    • Goffin, J.-L.1    Kiwiel, K.C.2
  • 33
    • 0001235540 scopus 로고
    • An analysis of several heuristics for the traveling salesman problem
    • D. J. Rosenkrantz, R. E. Stearns, and P. M. Lewis, II, "An analysis of several heuristics for the traveling salesman problem," SIAM J. Comput., vol. 6, no. 3, pp. 563-581, 1977.
    • (1977) SIAM J. Comput. , vol.6 , Issue.3 , pp. 563-581
    • Rosenkrantz, D.J.1    Stearns, R.E.2    Lewis, I.I.P.M.3
  • 34
    • 0016028264 scopus 로고
    • Total unimodularity and the transportation problem: A generalization
    • Feb.
    • K. R. Rebman, "Total unimodularity and the transportation problem: A generalization," Linear Algebra Appl., vol. 8, no. 1, pp. 11-24, Feb. 1974.
    • (1974) Linear Algebra Appl. , vol.8 , Issue.1 , pp. 11-24
    • Rebman, K.R.1
  • 36
    • 37149005165 scopus 로고    scopus 로고
    • Fast (incremental) algorithms for useful classes of simple temporal problems with preferences
    • T. S. Kumar, "Fast (incremental) algorithms for useful classes of simple temporal problems with preferences," in Proc. 20th IJCAI, 2007, pp. 1954-1959.
    • (2007) Proc. 20th IJCAI , pp. 1954-1959
    • Kumar, T.S.1
  • 38
    • 84901750207 scopus 로고    scopus 로고
    • Stochastic skyline route planning under time-varying uncertainty
    • B. Yang, C. Guo, C. S. Jensen, M. Kaul, and S. Shang, "Stochastic skyline route planning under time-varying uncertainty," in Proc. 30th IEEE ICDE, 2014, pp. 136-147.
    • (2014) Proc. 30th IEEE ICDE , pp. 136-147
    • Yang, B.1    Guo, C.2    Jensen, C.S.3    Kaul, M.4    Shang, S.5
  • 39
    • 54849431370 scopus 로고    scopus 로고
    • Openstreetmap: User-generated street maps
    • Oct. -Dec.
    • M. Haklay and P. Weber, "Openstreetmap: User-generated street maps," IEEE Pervasive Comput., vol. 7, no. 4, pp. 12-18, Oct.-Dec. 2008.
    • (2008) IEEE Pervasive Comput. , vol.7 , Issue.4 , pp. 12-18
    • Haklay, M.1    Weber, P.2
  • 40
    • 80052688627 scopus 로고    scopus 로고
    • Driving with knowledge from the physical world
    • J. Yuan, Y. Zheng, X. Xie, and G. Sun, "Driving with knowledge from the physical world," in Proc. 17th ACM SIGKDD, 2011, pp. 316-324.
    • (2011) Proc. 17th ACM SIGKDD , pp. 316-324
    • Yuan, J.1    Zheng, Y.2    Xie, X.3    Sun, G.4
  • 41
    • 84870471446 scopus 로고    scopus 로고
    • T-drive: Enhancing driving directions with taxi drivers' intelligence
    • Jan.
    • J. Yuan, Y. Zheng, X. Xie, and G. Sun, "T-drive: Enhancing driving directions with taxi drivers' intelligence," IEEE Trans. Knowledge Data Eng., vol. 25, no. 1, pp. 220-232, Jan. 2013.
    • (2013) IEEE Trans. Knowledge Data Eng. , vol.25 , Issue.1 , pp. 220-232
    • Yuan, J.1    Zheng, Y.2    Xie, X.3    Sun, G.4
  • 42
    • 84907024583 scopus 로고    scopus 로고
    • Travel time estimation of a path using sparse trajectories
    • Y. Wang, Y. Zheng, and Y. Xue, "Travel time estimation of a path using sparse trajectories," in Proc. 20th ACM SIGKDD, 2014, pp. 25-34.
    • (2014) Proc. 20th ACM SIGKDD , pp. 25-34
    • Wang, Y.1    Zheng, Y.2    Xue, Y.3
  • 43
    • 45449120587 scopus 로고    scopus 로고
    • Contraction hierarchies: Faster and simpler hierarchical routing in road networks
    • Berlin Germany: Springer- Verlag
    • R. Geisberger, P. Sanders, D. Schultes, and D. Delling, "Contraction hierarchies: Faster and simpler hierarchical routing in road networks," in Experimental Algorithms. Berlin, Germany: Springer-Verlag, 2008, pp. 319-333.
    • (2008) Experimental Algorithms , pp. 319-333
    • Geisberger, R.1    Sanders, P.2    Schultes, D.3    Delling, D.4
  • 45
    • 77952260420 scopus 로고    scopus 로고
    • Probabilistic path queries in road networks: Traffic uncertainty aware path selection
    • M. Hua and J. Pei, "Probabilistic path queries in road networks: Traffic uncertainty aware path selection," in Proc. 13th Int. Conf. Extending Database Technol., 2010, pp. 347-358.
    • (2010) Proc. 13th Int. Conf. Extending Database Technol. , pp. 347-358
    • Hua, M.1    Pei, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.