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Volumn 56, Issue , 2015, Pages 309-334

Application of Lagrangian relaxation approach to α-reliable path finding in stochastic networks with correlated link travel times

Author keywords

Cholesky decomposition; Correlated link travel time; Lagrangian relaxation; Navigation system; Reliable path; Stochastic network

Indexed keywords

LAGRANGE MULTIPLIERS; NAVIGATION SYSTEMS; STOCHASTIC SYSTEMS; TRAFFIC CONTROL;

EID: 84943802475     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2015.04.018     Document Type: Article
Times cited : (70)

References (72)
  • 3
    • 0034043026 scopus 로고    scopus 로고
    • A game theory approach to measuring the performance reliability of transport networks
    • Bell M.G. A game theory approach to measuring the performance reliability of transport networks. Transport. Res. Part B: Methodol. 2000, 34(6):533-545.
    • (2000) Transport. Res. Part B: Methodol. , vol.34 , Issue.6 , pp. 533-545
    • Bell, M.G.1
  • 4
    • 55049094635 scopus 로고    scopus 로고
    • Hyperstar: a multi-path Astar algorithm for risk averse vehicle navigation
    • Bell M.G. Hyperstar: a multi-path Astar algorithm for risk averse vehicle navigation. Transport. Res. Part B: Methodol. 2009, 43(1):97-107.
    • (2009) Transport. Res. Part B: Methodol. , vol.43 , Issue.1 , pp. 97-107
    • Bell, M.G.1
  • 5
    • 85015544138 scopus 로고    scopus 로고
    • Modeling distribution of travel time in signalized road section using truncated distribution
    • Cao P., Miwa T., Morikawa T. Modeling distribution of travel time in signalized road section using truncated distribution. Proc.-Social Behav. Sci. 2014, 138:137-147.
    • (2014) Proc.-Social Behav. Sci. , vol.138 , pp. 137-147
    • Cao, P.1    Miwa, T.2    Morikawa, T.3
  • 6
    • 25144441278 scopus 로고    scopus 로고
    • Multiobjective path finding in stochastic dynamic networks, with application to routing hazardous materials shipments
    • Chang T.S., Nozick L.K., Turnquist M.A. Multiobjective path finding in stochastic dynamic networks, with application to routing hazardous materials shipments. Transport. Sci. 2005, 39(3):383-399.
    • (2005) Transport. Sci. , vol.39 , Issue.3 , pp. 383-399
    • Chang, T.S.1    Nozick, L.K.2    Turnquist, M.A.3
  • 7
    • 18344375098 scopus 로고    scopus 로고
    • Path finding under uncertainty
    • Chen A., Ji Z. Path finding under uncertainty. J. Adv. Transport. 2005, 39(1):19-37.
    • (2005) J. Adv. Transport. , vol.39 , Issue.1 , pp. 19-37
    • Chen, A.1    Ji, Z.2
  • 8
    • 0036497661 scopus 로고    scopus 로고
    • Capacity reliability of a road network: an assessment methodology and numerical results
    • Chen A., Yang H., Lo H.K., Tang W.H. Capacity reliability of a road network: an assessment methodology and numerical results. Transport. Res. Part B: Methodol. 2002, 36(3):225-252.
    • (2002) Transport. Res. Part B: Methodol. , vol.36 , Issue.3 , pp. 225-252
    • Chen, A.1    Yang, H.2    Lo, H.K.3    Tang, W.H.4
  • 9
    • 84863338411 scopus 로고    scopus 로고
    • Reliable shortest path finding in stochastic networks with spatial correlated link travel times
    • Chen B.Y., Lam W.H., Sumalee A., Li Z.L. Reliable shortest path finding in stochastic networks with spatial correlated link travel times. Int. J. Geograph. Inform. Sci. 2012, 26(2):365-386.
    • (2012) Int. J. Geograph. Inform. Sci. , vol.26 , Issue.2 , pp. 365-386
    • Chen, B.Y.1    Lam, W.H.2    Sumalee, A.3    Li, Z.L.4
  • 10
    • 84888067530 scopus 로고    scopus 로고
    • Shortest path finding problem in stochastic time-dependent road networks with stochastic first-in-first-out property
    • Chen B.Y., Lam W.H.K., Li Q.Q., Sumalee A., Yan K. Shortest path finding problem in stochastic time-dependent road networks with stochastic first-in-first-out property. IEEE Trans. Intell. Transport. Syst. 2013, 14:1907-1917.
    • (2013) IEEE Trans. Intell. Transport. Syst. , vol.14 , pp. 1907-1917
    • Chen, B.Y.1    Lam, W.H.K.2    Li, Q.Q.3    Sumalee, A.4    Yan, K.5
  • 11
    • 84878580841 scopus 로고    scopus 로고
    • Finding reliable shortest paths in road networks under uncertainty
    • Chen B.Y., Lam W.H.K., Sumalee A., Li Q., Shao H., Fang Z. Finding reliable shortest paths in road networks under uncertainty. Netw. Spatial Econ. 2013, 13(2):123-148.
    • (2013) Netw. Spatial Econ. , vol.13 , Issue.2 , pp. 123-148
    • Chen, B.Y.1    Lam, W.H.K.2    Sumalee, A.3    Li, Q.4    Shao, H.5    Fang, Z.6
  • 12
    • 84901003643 scopus 로고    scopus 로고
    • Reliable shortest path problems in stochastic time-dependent networks
    • Chen B.Y., Lam W.H., Sumalee A., Li Q., Tam M.L. Reliable shortest path problems in stochastic time-dependent networks. J. Intell. Transport. Syst. 2014, 18(2):177-189.
    • (2014) J. Intell. Transport. Syst. , vol.18 , Issue.2 , pp. 177-189
    • Chen, B.Y.1    Lam, W.H.2    Sumalee, A.3    Li, Q.4    Tam, M.L.5
  • 13
    • 0041954178 scopus 로고    scopus 로고
    • NIST/SEMATECH e-handbook of statistical methods
    • National Institute of Standards and Technology
    • Croarkin, C., Tobias, P., 2006. NIST/SEMATECH e-handbook of statistical methods. National Institute of Standards and Technology,. http://www.itl.nist.gov/div898/handbook.
    • (2006)
    • Croarkin, C.1    Tobias, P.2
  • 14
    • 34147120474 scopus 로고
    • A note on two problems in connexion with graphs
    • Dijkstra E.W. A note on two problems in connexion with graphs. Numer. Math. 1959, 1(1):269-271.
    • (1959) Numer. Math. , vol.1 , Issue.1 , pp. 269-271
    • Dijkstra, E.W.1
  • 16
    • 0019477279 scopus 로고
    • The Lagrangian relaxation method for solving integer programming problems
    • Fisher M.L. The Lagrangian relaxation method for solving integer programming problems. Manage. Sci. 1981, 27(1):1-18.
    • (1981) Manage. Sci. , vol.27 , Issue.1 , pp. 1-18
    • Fisher, M.L.1
  • 17
    • 0014534283 scopus 로고
    • Shortest paths in probabilistic graphs
    • Frank H. Shortest paths in probabilistic graphs. Oper. Res. 1969, 17(4):583-599.
    • (1969) Oper. Res. , vol.17 , Issue.4 , pp. 583-599
    • Frank, H.1
  • 18
    • 0032157717 scopus 로고    scopus 로고
    • Expected shortest paths in dynamic and stochastic traffic networks
    • Fu L.P., Rilett L.R. Expected shortest paths in dynamic and stochastic traffic networks. Transport. Res. Part B - Methodol. 1998, 32:499-516.
    • (1998) Transport. Res. Part B - Methodol. , vol.32 , pp. 499-516
    • Fu, L.P.1    Rilett, L.R.2
  • 19
    • 19644363207 scopus 로고    scopus 로고
    • Estimating link travel time correlation: an application of Bayesian smoothing splines
    • Gajewski B.J., Rilett L.R. Estimating link travel time correlation: an application of Bayesian smoothing splines. J. Transport. Stat. 2004, 7(2/3):53-70.
    • (2004) J. Transport. Stat. , vol.7 , Issue.2-3 , pp. 53-70
    • Gajewski, B.J.1    Rilett, L.R.2
  • 20
    • 82055185566 scopus 로고    scopus 로고
    • Real-time traveler information for optimal adaptive routing in stochastic time-dependent networks
    • Gao S., Huang H. Real-time traveler information for optimal adaptive routing in stochastic time-dependent networks. Transport. Res. Part C: Emerg. Technol. 2012, 21(1):196-213.
    • (2012) Transport. Res. Part C: Emerg. Technol. , vol.21 , Issue.1 , pp. 196-213
    • Gao, S.1    Huang, H.2
  • 21
    • 0004236492 scopus 로고
    • Matrix computations
    • Johns Hopkins series in the mathematical sciences.
    • Golub, G.H., Loan, C.V., 1989. Matrix computations. Johns Hopkins series in the mathematical sciences.
    • (1989)
    • Golub, G.H.1    Loan, C.V.2
  • 22
    • 0023451776 scopus 로고
    • Lagrangean decomposition: a model yielding stronger Lagrangean bounds
    • Guignard M., Kim S. Lagrangean decomposition: a model yielding stronger Lagrangean bounds. Math. Programm. 1987, 39(2):215-228.
    • (1987) Math. Programm. , vol.39 , Issue.2 , pp. 215-228
    • Guignard, M.1    Kim, S.2
  • 23
    • 0020971860 scopus 로고
    • Travel outcome and performance: the effect of uncertainty on accessibility
    • Hall R.W. Travel outcome and performance: the effect of uncertainty on accessibility. Transport. Res. Part B: Methodol. 1983, 17(4):275-290.
    • (1983) Transport. Res. Part B: Methodol. , vol.17 , Issue.4 , pp. 275-290
    • Hall, R.W.1
  • 24
    • 0022769799 scopus 로고
    • The fastest path through a network with random time-dependent travel times
    • Hall R.W. The fastest path through a network with random time-dependent travel times. Transport. Sci. 1986, 20(3):182-188.
    • (1986) Transport. Sci. , vol.20 , Issue.3 , pp. 182-188
    • Hall, R.W.1
  • 25
    • 84987047540 scopus 로고
    • A dual algorithm for the constrained shortest path problem
    • Handler G.Y., Zang I. A dual algorithm for the constrained shortest path problem. Networks 1980, 10(4):293-309.
    • (1980) Networks , vol.10 , Issue.4 , pp. 293-309
    • Handler, G.Y.1    Zang, I.2
  • 26
    • 84899829959 scopus 로고
    • A formal basis for the heuristic determination of minimum cost paths
    • Hart P.E., Nilsson N.J., Raphael B. A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybernet. 1968, 4(2):100-107.
    • (1968) IEEE Trans. Syst. Sci. Cybernet. , vol.4 , Issue.2 , pp. 100-107
    • Hart, P.E.1    Nilsson, N.J.2    Raphael, B.3
  • 27
    • 0016025814 scopus 로고
    • Validation of subgradient optimization
    • Held M., Wolfe P., Crowder H.P. Validation of subgradient optimization. Math. Programm. 1974, 6(1):62-88.
    • (1974) Math. Programm. , vol.6 , Issue.1 , pp. 62-88
    • Held, M.1    Wolfe, P.2    Crowder, H.P.3
  • 28
    • 38849085706 scopus 로고    scopus 로고
    • Estimation of the distribution of travel times by repeated simulation
    • Hollander Y., Liu R. Estimation of the distribution of travel times by repeated simulation. Transport. Res. Part C: Emerg. Technol. 2008, 16(2):212-231.
    • (2008) Transport. Res. Part C: Emerg. Technol. , vol.16 , Issue.2 , pp. 212-231
    • Hollander, Y.1    Liu, R.2
  • 29
    • 84877065195 scopus 로고    scopus 로고
    • Travel time estimation for urban road networks using low frequency probe vehicle data
    • Jenelius E., Koutsopoulos H.N. Travel time estimation for urban road networks using low frequency probe vehicle data. Transport. Res. Part B: Methodol. 2013, 53:64-81.
    • (2013) Transport. Res. Part B: Methodol. , vol.53 , pp. 64-81
    • Jenelius, E.1    Koutsopoulos, H.N.2
  • 30
    • 78049528735 scopus 로고    scopus 로고
    • Multi-objective α-reliable path finding in stochastic networks with correlated link costs: a simulation-based multi-objective genetic algorithm approach (SMOGA)
    • Ji Z., Kim Y.S., Chen A. Multi-objective α-reliable path finding in stochastic networks with correlated link costs: a simulation-based multi-objective genetic algorithm approach (SMOGA). Expert Syst. Appl. 2011, 38(3):1515-1528.
    • (2011) Expert Syst. Appl. , vol.38 , Issue.3 , pp. 1515-1528
    • Ji, Z.1    Kim, Y.S.2    Chen, A.3
  • 31
    • 0022874133 scopus 로고
    • A new Lagrangian relaxation approach to the generalized assignment problem
    • Jornsten K., Nasberg M. A new Lagrangian relaxation approach to the generalized assignment problem. Eur. J. Oper. Res. 1986, 27(3):313-323.
    • (1986) Eur. J. Oper. Res. , vol.27 , Issue.3 , pp. 313-323
    • Jornsten, K.1    Nasberg, M.2
  • 32
    • 55849096940 scopus 로고    scopus 로고
    • A new measure of travel time reliability for in-vehicle navigation systems
    • Kaparias I., Bell M.G., Belzner H. A new measure of travel time reliability for in-vehicle navigation systems. J. Intell. Transport. Syst. 2008, 12(4):202-211.
    • (2008) J. Intell. Transport. Syst. , vol.12 , Issue.4 , pp. 202-211
    • Kaparias, I.1    Bell, M.G.2    Belzner, H.3
  • 33
    • 0035055213 scopus 로고    scopus 로고
    • The value of time and reliability: measurement from a value pricing experiment
    • Lam T.C., Small K.A. The value of time and reliability: measurement from a value pricing experiment. Transport. Res. Part E: Logistics Transport. Rev. 2001, 37(2):231-251.
    • (2001) Transport. Res. Part E: Logistics Transport. Rev. , vol.37 , Issue.2 , pp. 231-251
    • Lam, T.C.1    Small, K.A.2
  • 34
    • 33745028568 scopus 로고    scopus 로고
    • Degradable transport network: travel time budget of travelers with heterogeneous risk aversion
    • Lo H.K., Luo X.W., Siu B.W. Degradable transport network: travel time budget of travelers with heterogeneous risk aversion. Transport. Res. Part B: Methodol. 2006, 40(9):792-806.
    • (2006) Transport. Res. Part B: Methodol. , vol.40 , Issue.9 , pp. 792-806
    • Lo, H.K.1    Luo, X.W.2    Siu, B.W.3
  • 35
    • 33645026161 scopus 로고    scopus 로고
    • Selecting travel reliability measures
    • Texas Transportation Institute, Cambridge Systematics Inc.
    • Lomax, T., Schrank, D., Turner, S., Margiotta, R., 2003. Selecting travel reliability measures. Texas Transportation Institute, Cambridge Systematics Inc.
    • (2003)
    • Lomax, T.1    Schrank, D.2    Turner, S.3    Margiotta, R.4
  • 36
    • 0035218914 scopus 로고    scopus 로고
    • Adaptive least-expected time paths in stochastic, time-varying transportation and data networks
    • Miller-Hooks E.D. Adaptive least-expected time paths in stochastic, time-varying transportation and data networks. Networks 2001, 37(1):35-52.
    • (2001) Networks , vol.37 , Issue.1 , pp. 35-52
    • Miller-Hooks, E.D.1
  • 37
    • 0032358743 scopus 로고    scopus 로고
    • Least possible time paths in stochastic, time-varying networks
    • Miller-Hooks E.D., Mahmassani H.S. Least possible time paths in stochastic, time-varying networks. Comput. Oper. Res. 1998, 25(12):1107-1125.
    • (1998) Comput. Oper. Res. , vol.25 , Issue.12 , pp. 1107-1125
    • Miller-Hooks, E.D.1    Mahmassani, H.S.2
  • 38
    • 0034187603 scopus 로고    scopus 로고
    • Least expected time paths in stochastic, time-varying transportation networks
    • Miller-Hooks E.D., Mahmassani H.S. Least expected time paths in stochastic, time-varying transportation networks. Transport. Sci. 2000, 34(2):198-215.
    • (2000) Transport. Sci. , vol.34 , Issue.2 , pp. 198-215
    • Miller-Hooks, E.D.1    Mahmassani, H.S.2
  • 39
    • 0037375141 scopus 로고    scopus 로고
    • Path comparisons for a priori and time-adaptive decisions in stochastic, time-varying networks
    • Miller-Hooks E.D., Mahmassani H. Path comparisons for a priori and time-adaptive decisions in stochastic, time-varying networks. Eur. J. Oper. Res. 2003, 146(1):67-82.
    • (2003) Eur. J. Oper. Res. , vol.146 , Issue.1 , pp. 67-82
    • Miller-Hooks, E.D.1    Mahmassani, H.2
  • 40
    • 0001008059 scopus 로고
    • Shortest distance and reliability of probabilistic networks
    • Mirchandani P.B. Shortest distance and reliability of probabilistic networks. Comput. Oper. Res. 1976, 3(4):347-355.
    • (1976) Comput. Oper. Res. , vol.3 , Issue.4 , pp. 347-355
    • Mirchandani, P.B.1
  • 42
    • 84865811346 scopus 로고    scopus 로고
    • An efficient dynamic model for solving the shortest path problem
    • Nazemi A., Omidi F. An efficient dynamic model for solving the shortest path problem. Transport. Res. Part C: Emerg. Technol. 2013, 26:1-19.
    • (2013) Transport. Res. Part C: Emerg. Technol. , vol.26 , pp. 1-19
    • Nazemi, A.1    Omidi, F.2
  • 43
    • 77957243590 scopus 로고    scopus 로고
    • A computationally efficient methodology to characterize travel time reliability using the fast Fourier transform
    • Ng M., Waller S.T. A computationally efficient methodology to characterize travel time reliability using the fast Fourier transform. Transport. Res. Part B: Methodol. 2010, 44(10):1202-1219.
    • (2010) Transport. Res. Part B: Methodol. , vol.44 , Issue.10 , pp. 1202-1219
    • Ng, M.1    Waller, S.T.2
  • 44
    • 79956360794 scopus 로고    scopus 로고
    • Relaxing the multivariate normality assumption in the simulation of transportation system dependencies: an old technique in a new domain
    • Ng M., Kockelman K., Waller S. Relaxing the multivariate normality assumption in the simulation of transportation system dependencies: an old technique in a new domain. Transport. Lett. 2010, 2(2):63-74.
    • (2010) Transport. Lett. , vol.2 , Issue.2 , pp. 63-74
    • Ng, M.1    Kockelman, K.2    Waller, S.3
  • 45
    • 0024104706 scopus 로고
    • Equilibrium traffic assignment for large scale transit networks
    • Nguyen S., Pallottino S. Equilibrium traffic assignment for large scale transit networks. Eur. J. Oper. Res. 1988, 37(2):176-186.
    • (1988) Eur. J. Oper. Res. , vol.37 , Issue.2 , pp. 176-186
    • Nguyen, S.1    Pallottino, S.2
  • 46
    • 33846873686 scopus 로고    scopus 로고
    • Arriving-on-time problem: discrete algorithm that ensures convergence
    • Nie Y., Fan Y. Arriving-on-time problem: discrete algorithm that ensures convergence. Transport. Res. Rec.: J. Transport. Res. Board 2006, 1964(1):193-200.
    • (2006) Transport. Res. Rec.: J. Transport. Res. Board , vol.1964 , Issue.1 , pp. 193-200
    • Nie, Y.1    Fan, Y.2
  • 47
    • 78049527821 scopus 로고    scopus 로고
    • Reliable a priori shortest path problem with limited spatial and temporal dependencies
    • Nie, Y.M., Wu, X., 2009a. Reliable a priori shortest path problem with limited spatial and temporal dependencies. In: Transportation and Traffic Theory 2009: Golden Jubilee, pp. 169-195.
    • (2009) Transportation and Traffic Theory 2009: Golden Jubilee , pp. 169-195
    • Nie, Y.M.1    Wu, X.2
  • 48
    • 67349275585 scopus 로고    scopus 로고
    • Shortest path problem considering on-time arrival probability
    • Nie Y.M., Wu X. Shortest path problem considering on-time arrival probability. Transport. Res. Part B: Methodol. 2009, 43(6):597-613.
    • (2009) Transport. Res. Part B: Methodol. , vol.43 , Issue.6 , pp. 597-613
    • Nie, Y.M.1    Wu, X.2
  • 50
    • 0018726457 scopus 로고
    • A study of travel time and reliability on arterial routes
    • Polus A. A study of travel time and reliability on arterial routes. Transportation 1979, 8(2):141-151.
    • (1979) Transportation , vol.8 , Issue.2 , pp. 141-151
    • Polus, A.1
  • 51
    • 84938569529 scopus 로고    scopus 로고
    • A sample-based algorithm to determine minimum robust cost path with correlated link travel times
    • Prakash A.A., Srinivasan K. A sample-based algorithm to determine minimum robust cost path with correlated link travel times. Transport. Res. Rec.: J. Transport. Res. Board 2014, 2467(1):110-119.
    • (2014) Transport. Res. Rec.: J. Transport. Res. Board , vol.2467 , Issue.1 , pp. 110-119
    • Prakash, A.A.1    Srinivasan, K.2
  • 53
    • 78249238171 scopus 로고    scopus 로고
    • Trip travel-time reliability: issues and proposed solutions
    • Rakha H., El-Shawarby I., Arafeh M. Trip travel-time reliability: issues and proposed solutions. J. Intell. Transport. Syst. 2010, 14(4):232-250.
    • (2010) J. Intell. Transport. Syst. , vol.14 , Issue.4 , pp. 232-250
    • Rakha, H.1    El-Shawarby, I.2    Arafeh, M.3
  • 54
    • 80054790375 scopus 로고    scopus 로고
    • A tractable class of algorithms for reliable routing in stochastic networks
    • Samaranayake S., Blandin S., Bayen A. A tractable class of algorithms for reliable routing in stochastic networks. Transport. Res. Part C: Emerg. Technol. 2012, 20(1):199-217.
    • (2012) Transport. Res. Part C: Emerg. Technol. , vol.20 , Issue.1 , pp. 199-217
    • Samaranayake, S.1    Blandin, S.2    Bayen, A.3
  • 57
    • 0035243145 scopus 로고    scopus 로고
    • A mean-variance model for route guidance in advanced traveler information systems
    • Sen S., Pillai R., Joshi S., Rathi A.K. A mean-variance model for route guidance in advanced traveler information systems. Transport. Sci. 2001, 35(1):37-49.
    • (2001) Transport. Sci. , vol.35 , Issue.1 , pp. 37-49
    • Sen, S.1    Pillai, R.2    Joshi, S.3    Rathi, A.K.4
  • 58
    • 79951628232 scopus 로고    scopus 로고
    • Algorithm for determining most reliable travel time path on network with normally distributed and correlated link travel times
    • Seshadri R., Srinivasan K.K. Algorithm for determining most reliable travel time path on network with normally distributed and correlated link travel times. Transport. Res. Rec.: J. Transport. Res. Board 2010, 2196(1):83-92.
    • (2010) Transport. Res. Rec.: J. Transport. Res. Board , vol.2196 , Issue.1 , pp. 83-92
    • Seshadri, R.1    Srinivasan, K.K.2
  • 60
    • 0003821869 scopus 로고
    • The variance-constrained shortest path problem
    • Sivakumar R.A., Batta R. The variance-constrained shortest path problem. Transport. Sci. 1994, 28(4):309-316.
    • (1994) Transport. Sci. , vol.28 , Issue.4 , pp. 309-316
    • Sivakumar, R.A.1    Batta, R.2
  • 61
    • 0024650417 scopus 로고
    • Optimal strategies: a new assignment model for transit networks
    • Spiess H., Florian M. Optimal strategies: a new assignment model for transit networks. Transport. Res. Part B: Methodol. 1989, 23(2):83-102.
    • (1989) Transport. Res. Part B: Methodol. , vol.23 , Issue.2 , pp. 83-102
    • Spiess, H.1    Florian, M.2
  • 62
    • 84902456089 scopus 로고    scopus 로고
    • Finding most reliable paths on networks with correlated and shifted log-normal travel times
    • Srinivasan K.K., Prakash A.A., Seshadri R. Finding most reliable paths on networks with correlated and shifted log-normal travel times. Transport. Res. Part B: Methodol. 2013, 66:110-128.
    • (2013) Transport. Res. Part B: Methodol. , vol.66 , pp. 110-128
    • Srinivasan, K.K.1    Prakash, A.A.2    Seshadri, R.3
  • 63
  • 64
    • 36348978017 scopus 로고    scopus 로고
    • Travel time unreliability on freeways: why measures based on variance tell only half the story
    • Van Lint J.W.C., van Zuylen H.J., Tu H. Travel time unreliability on freeways: why measures based on variance tell only half the story. Transport. Res. Part A: Policy Pract. 2008, 42(1):258-277.
    • (2008) Transport. Res. Part A: Policy Pract. , vol.42 , Issue.1 , pp. 258-277
    • Van Lint, J.W.C.1    van Zuylen, H.J.2    Tu, H.3
  • 66
    • 84902496037 scopus 로고    scopus 로고
    • A bi-objective user equilibrium model of travel time reliability in a road network
    • Wang J.Y., Ehrgott M., Chen A. A bi-objective user equilibrium model of travel time reliability in a road network. Transport. Res. Part B: Methodol. 2014, 66:4-15.
    • (2014) Transport. Res. Part B: Methodol. , vol.66 , pp. 4-15
    • Wang, J.Y.1    Ehrgott, M.2    Chen, A.3
  • 67
    • 33748948914 scopus 로고    scopus 로고
    • User equilibrium traffic network assignment with stochastic travel times and late arrival penalty
    • Watling D. User equilibrium traffic network assignment with stochastic travel times and late arrival penalty. Eur. J. Oper. Res. 2006, 175(3):1539-1556.
    • (2006) Eur. J. Oper. Res. , vol.175 , Issue.3 , pp. 1539-1556
    • Watling, D.1
  • 68
  • 69
    • 80455164690 scopus 로고    scopus 로고
    • Finding the most reliable path with and without link travel time correlation: a Lagrangian substitution based approach
    • Xing T., Zhou X. Finding the most reliable path with and without link travel time correlation: a Lagrangian substitution based approach. Transport. Res. Part B: Methodol. 2011, 45(10):1660-1679.
    • (2011) Transport. Res. Part B: Methodol. , vol.45 , Issue.10 , pp. 1660-1679
    • Xing, T.1    Zhou, X.2
  • 70
    • 84878718960 scopus 로고    scopus 로고
    • Reformulation and solution algorithms for absolute and percentile robust shortest path problems
    • Xing T., Zhou X. Reformulation and solution algorithms for absolute and percentile robust shortest path problems. IEEE Trans. Intell. Transport. Syst. 2013, 14(2):943-954.
    • (2013) IEEE Trans. Intell. Transport. Syst. , vol.14 , Issue.2 , pp. 943-954
    • Xing, T.1    Zhou, X.2
  • 71
    • 84888423622 scopus 로고    scopus 로고
    • Constraint reformulation and a Lagrangian relaxation-based solution algorithm for a least expected time path problem
    • Yang L., Zhou X. Constraint reformulation and a Lagrangian relaxation-based solution algorithm for a least expected time path problem. Transport. Res. Part B: Methodol. 2014, 59:22-44.
    • (2014) Transport. Res. Part B: Methodol. , vol.59 , pp. 22-44
    • Yang, L.1    Zhou, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.