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Journal articles on the topic 'Optimal Transportation'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 March 2023

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1

Mansur, Salwa Salsabila, Sri Widowati, and Mahmud Imrona. "Determination of Optimal Public Transportation Routes Using Firefly and Tabu Search Algorithms." Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) 4, no. 5 (October 30, 2020): 884–91. http://dx.doi.org/10.29207/resti.v4i5.2259.

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Traffic congestion problems generally caused by the increasing use of private vehicles and public transportations. In order to overcome the situation, the optimization of public transportation’s route is required particularly the urban transportation. In this research, the performance analysis of Firefly and Tabu Search algorithm is conducted to optimize eleven public transportation’s routes in Bandung. This optimization aims to increase the dispersion of public transportation’s route by expanding the scope of route that are crossed by public transportation so that it can reach the entire Band

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2

Ekeland, Ivar, and Maurice Queyranne. "Optimal pits and optimal transportation." ESAIM: Mathematical Modelling and Numerical Analysis 49, no. 6 (November 2015): 1659–70. http://dx.doi.org/10.1051/m2an/2015026.

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3

Cui, Li, Xin Qi, Chengfeng Wen, Na Lei, Xinyuan Li, Min Zhang, and Xianfeng Gu. "Spherical optimal transportation." Computer-Aided Design 115 (October 2019): 181–93. http://dx.doi.org/10.1016/j.cad.2019.05.024.

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4

Klötzler, R. "Optimal Transportation Flows." Zeitschrift für Analysis und ihre Anwendungen 14, no. 2 (1995): 391–401. http://dx.doi.org/10.4171/zaa/681.

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5

J, Ravi, Dickson S, and Sathya K. "An Optimal Solution for Transportation problem-DFSD." Journal of Computational Mathematica 3, no. 1 (June 30, 2019): 40–48. http://dx.doi.org/10.26524/cm46.

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6

Wolansky, G. "From optimal transportation to optimal teleportation." Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34, no. 7 (December 2017): 1669–85. http://dx.doi.org/10.1016/j.anihpc.2016.12.003.

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7

Narayanamoorthy, S., and S. Kalyani. "The Intelligence of Dual Simplex Method to Solve Linear Fractional Fuzzy Transportation Problem." Computational Intelligence and Neuroscience 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/103618.

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An approach is presented to solve a fuzzy transportation problem with linear fractional fuzzy objective function. In this proposed approach the fractional fuzzy transportation problem is decomposed into two linear fuzzy transportation problems. The optimal solution of the two linear fuzzy transportations is solved by dual simplex method and the optimal solution of the fractional fuzzy transportation problem is obtained. The proposed method is explained in detail with an example.

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8

M. Chu, K., and A. Abdulrazik. "Optimal Biomass Transportation Model." Journal of Chemical Engineering and Industrial Biotechnology 7, no. 1 (April 29, 2021): 23–31. http://dx.doi.org/10.15282/jceib.v7i1.5642.

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The transportation represents a key proportion of the operational cost for the biomass industries worldwide. As biomasses are mainly carried by trucks for parts of the transportation, the focus of this paper is on the transport of treated and untreated biomass (rice husk, empty fruit bunch, and woody biomass) by large, medium and small trucks. The objectives were to formulate biomass transportation model for transporting treated and untreated biomass resources and to obtain optimal result for selecting the best transportation mode. By screening of biomass types, locations for treated and untre

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9

Ekeland, Ivar. "Notes on optimal transportation." Economic Theory 42, no. 2 (November 28, 2008): 437–59. http://dx.doi.org/10.1007/s00199-008-0426-9.

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10

Bacon, Xavier. "Multi-species Optimal Transportation." Journal of Optimization Theory and Applications 184, no. 2 (September 26, 2019): 315–37. http://dx.doi.org/10.1007/s10957-019-01590-z.

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11

Mikami, Toshio, and Michèle Thieullen. "Optimal Transportation Problem by Stochastic Optimal Control." SIAM Journal on Control and Optimization 47, no. 3 (January 2008): 1127–39. http://dx.doi.org/10.1137/050631264.

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12

Klartag, Bo’az, and Alexander Kolesnikov. "Eigenvalue distribution of optimal transportation." Analysis & PDE 8, no. 1 (April 15, 2015): 33–55. http://dx.doi.org/10.2140/apde.2015.8.33.

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13

Carlier, Guillaume, and Bruno Nazaret. "Optimal transportation for the determinant." ESAIM: Control, Optimisation and Calculus of Variations 14, no. 4 (January 18, 2008): 678–98. http://dx.doi.org/10.1051/cocv:2008006.

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14

Lee, Sang-Un. "Optimal Solution for Transportation Problems." Journal of the Institute of Webcasting, Internet and Telecommunication 13, no. 2 (April 30, 2013): 93–102. http://dx.doi.org/10.7236/jiibc.2013.13.2.93.

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15

Cechlárová, Katarína. "A problem on optimal transportation." Teaching Mathematics and its Applications: An International Journal of the IMA 24, no. 4 (July 13, 2005): 182–91. http://dx.doi.org/10.1093/teamat/hrh025.

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16

Korman, Jonathan, and Robert J. McCann. "Optimal transportation with capacity constraints." Transactions of the American Mathematical Society 367, no. 3 (November 4, 2014): 1501–21. http://dx.doi.org/10.1090/s0002-9947-2014-06032-7.

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17

de Palma, André, and Robin Lindsey. "Optimal timetables for public transportation." Transportation Research Part B: Methodological 35, no. 8 (September 2001): 789–813. http://dx.doi.org/10.1016/s0191-2615(00)00023-0.

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18

Agrachev, Andrei, and Paul Lee. "Optimal transportation under nonholonomic constraints." Transactions of the American Mathematical Society 361, no. 11 (June 15, 2009): 6019–47. http://dx.doi.org/10.1090/s0002-9947-09-04813-2.

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19

Ahmad, Najma, Hwa Kil Kim, and Robert J. McCann. "Optimal transportation, topology and uniqueness." Bulletin of Mathematical Sciences 1, no. 1 (March 23, 2011): 13–32. http://dx.doi.org/10.1007/s13373-011-0002-7.

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20

Gangbo, Wilfrid, and Robert J. McCann. "The geometry of optimal transportation." Acta Mathematica 177, no. 2 (1996): 113–61. http://dx.doi.org/10.1007/bf02392620.

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21

Cardinal, Jean, Sébastien Collette, Ferran Hurtado, Stefan Langerman, and Belén Palop. "Optimal location of transportation devices." Computational Geometry 41, no. 3 (November 2008): 219–29. http://dx.doi.org/10.1016/j.comgeo.2008.01.001.

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22

McCann, Robert J., Brendan Pass, and Micah Warren. "Rectifiability of Optimal Transportation Plans." Canadian Journal of Mathematics 64, no. 4 (August 1, 2012): 924–34. http://dx.doi.org/10.4153/cjm-2011-080-6.

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Abstract The regularity of solutions to optimal transportation problems has become a hot topic in current research. It is well known by now that the optimal measure may not be concentrated on the graph of a continuous mapping unless both the transportation cost and themasses transported satisfy very restrictive hypotheses (including sign conditions on the mixed fourth-order derivatives of the cost function). The purpose of this note is to show that in spite of this, the optimal measure is supported on a Lipschitz manifold, provided only that the cost is C2 with non-singular mixed second deriva

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23

Boyer, Wyatt, Bryan Brown, Alyssa Loving, and Sarah Tammen. "Optimal transportation with constant constraint." Involve, a Journal of Mathematics 12, no. 1 (January 1, 2019): 1–12. http://dx.doi.org/10.2140/involve.2019.12.1.

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24

Li, Ji, and Jianlu Zhang. "Optimal transportation for generalized Lagrangian." Chinese Annals of Mathematics, Series B 38, no. 3 (May 2017): 857–68. http://dx.doi.org/10.1007/s11401-017-1100-y.

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25

McCann, Robert J., and Brendan Pass. "Optimal Transportation Between Unequal Dimensions." Archive for Rational Mechanics and Analysis 238, no. 3 (September 12, 2020): 1475–520. http://dx.doi.org/10.1007/s00205-020-01569-5.

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26

Liu, Jiakun. "Hölder regularity of optimal mappings in optimal transportation." Calculus of Variations and Partial Differential Equations 34, no. 4 (June 3, 2008): 435–51. http://dx.doi.org/10.1007/s00526-008-0190-5.

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27

Mallia, B., M. Das, and C. Das. "Fundamentals of Transportation Problem." International Journal of Engineering and Advanced Technology 10, no. 5 (June 30, 2021): 90–103. http://dx.doi.org/10.35940/ijeat.e2654.0610521.

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Transportation Problem is a linear programming problem. Like LPP, transportation problem has basic feasible solution (BFS) and then from it we obtain the optimal solution. Among these BFS the optimal solution is developed by constructing dual of the TP. By using complimentary slackness conditions the optimal solutions is obtained by the same iterative principle. The method is known as MODI (Modified Distribution) method. In this paper we have discussed all the aspect of transportation problem

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28

Patil, Gopal R., and Satish V. Ukkusuri. "System-Optimal Stochastic Transportation Network Design." Transportation Research Record: Journal of the Transportation Research Board 2029, no. 1 (January 2007): 80–86. http://dx.doi.org/10.3141/2029-09.

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29

Zhou, Yuming, Kehua Su, Chong Jiao, Ning Xin, and Shubo Ren. "Texture Integrationvia Discrete Optimal Mass Transportation." Journal of Computer-Aided Design & Computer Graphics 33, no. 7 (July 1, 2021): 1084–91. http://dx.doi.org/10.3724/sp.j.1089.2021.18632.

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30

Benamou, Jean-David. "Optimal transportation, modelling and numerical simulation." Acta Numerica 30 (May 2021): 249–325. http://dx.doi.org/10.1017/s0962492921000040.

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We present an overviewof the basic theory, modern optimal transportation extensions and recent algorithmic advances. Selected modelling and numerical applications illustrate the impact of optimal transportation in numerical analysis.

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31

Taghvaei, Amirhossein, and Prashant G. Mehta. "Optimal Transportation Methods in Nonlinear Filtering." IEEE Control Systems 41, no. 4 (August 2021): 34–49. http://dx.doi.org/10.1109/mcs.2021.3076391.

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32

Alliez, Pierre, Simon Giraudot, and David Cohen-Steiner. "Robust Shape Reconstruction and Optimal Transportation." Actes des rencontres du CIRM 3, no. 1 (2013): 79–88. http://dx.doi.org/10.5802/acirm.57.

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33

Brenier, Yann, and Marjolaine Puel. "Optimal Multiphase Transportation with prescribed momentum." ESAIM: Control, Optimisation and Calculus of Variations 8 (2002): 287–343. http://dx.doi.org/10.1051/cocv:2002024.

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34

Brancolini, Alessio, and Giuseppe Buttazzo. "Optimal networks for mass transportation problems." ESAIM: Control, Optimisation and Calculus of Variations 11, no. 1 (December 15, 2004): 88–101. http://dx.doi.org/10.1051/cocv:2004032.

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35

Robert J. McCann and Peter M. Topping. "Ricci flow, entropy and optimal transportation." American Journal of Mathematics 132, no. 3 (2010): 711–30. http://dx.doi.org/10.1353/ajm.0.0110.

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36

Kim, Young-Heon, and Jun Kitagawa. "On the Degeneracy of Optimal Transportation." Communications in Partial Differential Equations 39, no. 7 (May 20, 2014): 1329–63. http://dx.doi.org/10.1080/03605302.2014.892129.

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37

Pleshivtseva, Yulia. "'Transportation' problem of time-optimal heating." International Journal of Materials and Product Technology 29, no. 1/2/3/4 (2007): 137. http://dx.doi.org/10.1504/ijmpt.2007.013121.

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38

Zhu, Wei Hua, and Ying Shen. "ACO-Based Global Optimal Transportation Path." Advanced Materials Research 488-489 (March 2012): 1680–83. http://dx.doi.org/10.4028/www.scientific.net/amr.488-489.1680.

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This paper discusses how to address some issues when contemplating the global optimal transportation path (GOTP) such as dynamics, the ability of real-time analysis as well as complexity of prediction. Using shortest path methodology, this paper abstracts the real-life problem to a graphic context. Based on the solution of ant colony optimization (ACO) algorithm, the simulation indicates that this manner is efficient and effective in dealing with these problems. The indicators utilized ACO are achieved through simulation results analysis, providing the range of exact elements.

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39

Fang, YunFei, Feng Chu, Saïd Mammar, and MengChu Zhou. "Optimal Lane Reservation in Transportation Network." IEEE Transactions on Intelligent Transportation Systems 13, no. 2 (June 2012): 482–91. http://dx.doi.org/10.1109/tits.2011.2171337.

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40

Pass, Brendan. "Optimal transportation with infinitely many marginals." Journal of Functional Analysis 264, no. 4 (February 2013): 947–63. http://dx.doi.org/10.1016/j.jfa.2012.12.002.

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41

Jylhä, Heikki, and Tapio Rajala. "L∞ estimates in optimal mass transportation." Journal of Functional Analysis 270, no. 11 (June 2016): 4297–321. http://dx.doi.org/10.1016/j.jfa.2015.12.019.

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42

Fathi, Albert, and Alessio Figalli. "Optimal transportation on non-compact manifolds." Israel Journal of Mathematics 175, no. 1 (January 2010): 1–59. http://dx.doi.org/10.1007/s11856-010-0001-5.

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43

Chen, Shibing, та Alessio Figalli. "Boundary ε-regularity in optimal transportation". Advances in Mathematics 273 (березень 2015): 540–67. http://dx.doi.org/10.1016/j.aim.2014.12.032.

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44

Camacho, E. F., M. A. Ridao, J. A. Ternero, and J. M. Rodriguez. "Optimal Operation of Pipeline Transportation Systems." IFAC Proceedings Volumes 23, no. 8 (August 1990): 455–60. http://dx.doi.org/10.1016/s1474-6670(17)51776-0.

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45

Wolansky, G. "Limit theorems for optimal mass transportation." Calculus of Variations and Partial Differential Equations 42, no. 3-4 (January 28, 2011): 487–516. http://dx.doi.org/10.1007/s00526-011-0395-x.

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46

Kim, Young-Heon, Robert J. McCann, and Micah Warren. "Pseudo-Riemannian geometry calibrates optimal transportation." Mathematical Research Letters 17, no. 6 (2010): 1183–97. http://dx.doi.org/10.4310/mrl.2010.v17.n6.a16.

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47

Bakhtin, Vladimir Aleksandrovich, Ilya Petrovich Bogdanov, Vladimir Petrovich Osipov, Yuri Germanovich Rykov, Alexander Andreevich Smirnov, and Vladimir Anatolievich Sudakov. "Optimal scheduling of homogeneous products transportation." Keldysh Institute Preprints, no. 65 (2018): 1–26. http://dx.doi.org/10.20948/prepr-2018-65.

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48

Tan, Xiaolu, and Nizar Touzi. "Optimal transportation under controlled stochastic dynamics." Annals of Probability 41, no. 5 (September 2013): 3201–40. http://dx.doi.org/10.1214/12-aop797.

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49

Kolesnikov, A. V. "Global Hölder estimates for optimal transportation." Mathematical Notes 88, no. 5-6 (December 2010): 678–95. http://dx.doi.org/10.1134/s0001434610110076.

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50

Goczyłla, Krzysztof, and Janusz Ciela̧tkowski. "Optimal routing in a transportation network." European Journal of Operational Research 87, no. 2 (December 1995): 214–22. http://dx.doi.org/10.1016/0377-2217(95)00177-r.

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