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The Traveling-Salesman Problem and Minimum Spanning Trees

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  1. Horbach, Andrei, 2005. "Combinatorial relaxation of the k-traveling salesman problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 599, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  2. Rathinam, Sivakumar & Sengupta, Raja, 2007. "3/2-Approximation Algorithm for a Generalized, Multiple Depot, Hamiltonina Path Problem," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt06p2815q, Institute of Transportation Studies, UC Berkeley.
  3. Samadi, Mohammadreza & Nikolaev, Alexander & Nagi, Rakesh, 2016. "A subjective evidence model for influence maximization in social networks," Omega, Elsevier, vol. 59(PB), pages 263-278.
  4. Thomas L. Magnanti, 2021. "Optimization: From Its Inception," Management Science, INFORMS, vol. 67(9), pages 5349-5363, September.
  5. Lorena, Luiz Antonio N. & Goncalves Narciso, Marcelo, 2002. "Using logical surrogate information in Lagrangean relaxation: An application to symmetric traveling salesman problems," European Journal of Operational Research, Elsevier, vol. 138(3), pages 473-483, May.
  6. Shawn Choo & Diego Klabjan & David Simchi-Levi, 2010. "Multiship Crane Sequencing with Yard Congestion Constraints," Transportation Science, INFORMS, vol. 44(1), pages 98-115, February.
  7. Ninio, Matan & Schneider, Johannes J., 2005. "Weight annealing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 649-666.
  8. Mnich, Matthias & Mömke, Tobias, 2018. "Improved integrality gap upper bounds for traveling salesperson problems with distances one and two," European Journal of Operational Research, Elsevier, vol. 266(2), pages 436-457.
  9. Marshall L. Fisher, 2004. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 50(12_supple), pages 1861-1871, December.
  10. Zamani, Reza & Lau, Sim Kim, 2010. "Embedding learning capability in Lagrangean relaxation: An application to the travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 82-88, February.
  11. Gábor Braun & Samuel Fiorini & Sebastian Pokutta & David Steurer, 2015. "Approximation Limits of Linear Programs (Beyond Hierarchies)," Mathematics of Operations Research, INFORMS, vol. 40(3), pages 756-772, March.
  12. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Other publications TiSEM ed028a07-eb6a-4c8d-8f21-d, Tilburg University, School of Economics and Management.
  13. Kinable, Joris & Cire, Andre A. & van Hoeve, Willem-Jan, 2017. "Hybrid optimization methods for time-dependent sequencing problems," European Journal of Operational Research, Elsevier, vol. 259(3), pages 887-897.
  14. Marshall L. Fisher, 2004. "Comments on ÜThe Lagrangian Relaxation Method for Solving Integer Programming ProblemsÝ," Management Science, INFORMS, vol. 50(12_supple), pages 1872-1874, December.
  15. P. Chardaire & G. P. McKeown & S. A. Verity-Harrison & S. B. Richardson, 2005. "Solving a Time-Space Network Formulation for the Convoy Movement Problem," Operations Research, INFORMS, vol. 53(2), pages 219-230, April.
  16. Moses Charikar & Michel X. Goemans & Howard Karloff, 2006. "On the Integrality Ratio for the Asymmetric Traveling Salesman Problem," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 245-252, May.
  17. Vardges Melkonian & Éva Tardos, 2005. "Primal-Dual-Based Algorithms for a Directed Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 17(2), pages 159-174, May.
  18. Arianna Alfieri & Shuyu Zhou & Rosario Scatamacchia & Steef L. van de Velde, 2021. "Dynamic programming algorithms and Lagrangian lower bounds for a discrete lot streaming problem in a two-machine flow shop," 4OR, Springer, vol. 19(2), pages 265-288, June.
  19. Rego, Cesar, 1998. "Relaxed tours and path ejections for the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 522-538, April.
  20. Yanling Chu & Xiaoju Zhang & Zhongzhen Yang, 2017. "Multiple quay cranes scheduling for double cycling in container terminals," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-19, July.
  21. Martinhon, Carlos & Lucena, Abilio & Maculan, Nelson, 2004. "Stronger K-tree relaxations for the vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 158(1), pages 56-71, October.
  22. Henderson, Darrall & Vaughan, Diane E. & Jacobson, Sheldon H. & Wakefield, Ron R. & Sewell, Edward C., 2003. "Solving the shortest route cut and fill problem using simulated annealing," European Journal of Operational Research, Elsevier, vol. 145(1), pages 72-84, February.
  23. Peter Reiter & Walter Gutjahr, 2012. "Exact hybrid algorithms for solving a bi-objective vehicle routing problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 19-43, March.
  24. Arash Asadpour & Michel X. Goemans & Aleksander Mądry & Shayan Oveis Gharan & Amin Saberi, 2017. "An O (log n /log log n )-Approximation Algorithm for the Asymmetric Traveling Salesman Problem," Operations Research, INFORMS, vol. 65(4), pages 1043-1061, August.
  25. Ningji Wei & Jose L. Walteros & Foad Mahdavi Pajouh, 2021. "Integer Programming Formulations for Minimum Spanning Tree Interdiction," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1461-1480, October.
  26. Daniel Adelman, 2004. "A Price-Directed Approach to Stochastic Inventory/Routing," Operations Research, INFORMS, vol. 52(4), pages 499-514, August.
  27. Bianco, Lucio & Caramia, Massimiliano, 2012. "An exact algorithm to minimize the makespan in project scheduling with scarce resources and generalized precedence relations," European Journal of Operational Research, Elsevier, vol. 219(1), pages 73-85.
  28. Freville, Arnaud, 2004. "The multidimensional 0-1 knapsack problem: An overview," European Journal of Operational Research, Elsevier, vol. 155(1), pages 1-21, May.
  29. Vivek Bagaria & Jian Ding & David Tse & Yihong Wu & Jiaming Xu, 2020. "Hidden Hamiltonian Cycle Recovery via Linear Programming," Operations Research, INFORMS, vol. 68(1), pages 53-70, January.
  30. Claudio Gambella & Andrea Lodi & Daniele Vigo, 2018. "Exact Solutions for the Carrier–Vehicle Traveling Salesman Problem," Transportation Science, INFORMS, vol. 52(2), pages 320-330, March.
  31. Sivakumar, Rathinam & Sengupta, Raja, 2007. "5/3-Approximation Algorithm for a Multiple Depot, Terminal Hamiltonian Path Problem," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3dw086dn, Institute of Transportation Studies, UC Berkeley.
  32. Simonas Cerniauskas & Thomas Grube & Aaron Praktiknjo & Detlef Stolten & Martin Robinius, 2019. "Future Hydrogen Markets for Transportation and Industry: The Impact of CO 2 Taxes," Energies, MDPI, vol. 12(24), pages 1-26, December.
  33. Radosław Cymer, 2014. "Weighted matching as a generic pruning technique applied to optimization constraints," Annals of Operations Research, Springer, vol. 217(1), pages 165-211, June.
  34. Thomas L. Morin & Roy E. Marsten, 1974. "Brand-and-Bound Strategies for Dynamic Programming," Discussion Papers 106, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  35. G. Rius-Sorolla & J. Maheut & S. Estellés-Miguel & J. P. Garcia-Sabater, 2020. "Coordination mechanisms with mathematical programming models for decentralized decision-making: a literature review," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 61-104, March.
  36. Laureano Escudero, 2009. "On a mixture of the fix-and-relax coordination and Lagrangian substitution schemes for multistage stochastic mixed integer programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 5-29, July.
  37. Balaji Gopalakrishnan & Ellis. Johnson, 2005. "Airline Crew Scheduling: State-of-the-Art," Annals of Operations Research, Springer, vol. 140(1), pages 305-337, November.
  38. Cruz, F. R. B. & Smith, J. MacGregor & Mateus, G. R., 1999. "Algorithms for a multi-level network optimization problem," European Journal of Operational Research, Elsevier, vol. 118(1), pages 164-180, October.
  39. Florin Leon & Costin Bădică, 2017. "An Optimization Web Service for a Freight Brokering System," Service Science, INFORMS, vol. 9(4), pages 324-337, December.
  40. Ibrahim Muter & Tevfik Aytekin, 2017. "Incorporating Aggregate Diversity in Recommender Systems Using Scalable Optimization Approaches," INFORMS Journal on Computing, INFORMS, vol. 29(3), pages 405-421, August.
  41. G. Rius-Sorolla & J. Maheut & Jairo R. Coronado-Hernandez & J. P. Garcia-Sabater, 2020. "Lagrangian relaxation of the generic materials and operations planning model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 105-123, March.
  42. Yannis Marinakis & Athanasios Migdalas & Panos M. Pardalos, 2005. "A Hybrid Genetic—GRASP Algorithm Using Lagrangean Relaxation for the Traveling Salesman Problem," Journal of Combinatorial Optimization, Springer, vol. 10(4), pages 311-326, December.
  43. Glover, Fred & Gutin, Gregory & Yeo, Anders & Zverovich, Alexey, 2001. "Construction heuristics for the asymmetric TSP," European Journal of Operational Research, Elsevier, vol. 129(3), pages 555-568, March.
  44. A Lim & B Rodrigues & J Zhang, 2005. "Tabu search embedded simulated annealing for the shortest route cut and fill problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(7), pages 816-824, July.
  45. Rathinam, Sivakumar & Sengupta, Raja, 2006. "Matroid Intersection and its application to a Multiple Depot, Multiple TSP," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9sj6585p, Institute of Transportation Studies, UC Berkeley.
  46. Ghassan Shobaki & Jafar Jamal, 2015. "An exact algorithm for the sequential ordering problem and its application to switching energy minimization in compilers," Computational Optimization and Applications, Springer, vol. 61(2), pages 343-372, June.
  47. Rostami, Borzou & Malucelli, Federico & Belotti, Pietro & Gualandi, Stefano, 2016. "Lower bounding procedure for the asymmetric quadratic traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 253(3), pages 584-592.
  48. Syam Menon & Ali Amiri, 2004. "Scheduling Banner Advertisements on the Web," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 95-105, February.
  49. de Klerk, E. & Pasechnik, D.V. & Sotirov, R., 2008. "On Semidefinite Programming Relaxations of the Traveling Salesman Problem (revision of DP 2007-101)," Other publications TiSEM ea23cd70-a3b1-401a-aa3f-0, Tilburg University, School of Economics and Management.
  50. de Klerk, E. & Pasechnik, D.V. & Sotirov, R., 2007. "On Semidefinite Programming Relaxations of the Travelling Salesman Problem (Replaced by DP 2008-96)," Other publications TiSEM 12999d3d-956a-4660-9ae4-5, Tilburg University, School of Economics and Management.
  51. Pan, Feng & Nagi, Rakesh, 2013. "Multi-echelon supply chain network design in agile manufacturing," Omega, Elsevier, vol. 41(6), pages 969-983.
  52. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Discussion Paper 1995-57, Tilburg University, Center for Economic Research.
  53. E. de Klerk & R. Sotirov & U. Truetsch, 2015. "A New Semidefinite Programming Relaxation for the Quadratic Assignment Problem and Its Computational Perspectives," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 378-391, May.
  54. Ahmadi-Javid, Amir & Hoseinpour, Pooya, 2015. "A location-inventory-pricing model in a supply chain distribution network with price-sensitive demands and inventory-capacity constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 238-255.
  55. Valenzuela, Christine L. & Jones, Antonia J., 1997. "Estimating the Held-Karp lower bound for the geometric TSP," European Journal of Operational Research, Elsevier, vol. 102(1), pages 157-175, October.
  56. Kraft, Edwin R., 2002. "Scheduling railway freight delivery appointments using a bid price approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(2), pages 145-165, February.
  57. Miroslav Chlebík & Janka Chlebíková, 2022. "Weighted amplifiers and inapproximability results for Travelling Salesman problem," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1368-1390, July.
  58. Gregorio Rius-Sorolla & Julien Maheut & Sofia Estelles-Miguel & Jose P. Garcia-Sabater, 2021. "Collaborative Distributed Planning with Asymmetric Information. A Technological Driver for Sustainable Development," Sustainability, MDPI, vol. 13(12), pages 1-23, June.
  59. Mohammad Nezhad, Ali & Manzour, Hasan & Salhi, Said, 2013. "Lagrangian relaxation heuristics for the uncapacitated single-source multi-product facility location problem," International Journal of Production Economics, Elsevier, vol. 145(2), pages 713-723.
  60. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
  61. Kataoka, Seiji & Yamada, Takeo & Morito, Susumu, 1998. "Minimum directed 1-subtree relaxation for score orienteering problem," European Journal of Operational Research, Elsevier, vol. 104(1), pages 139-153, January.
  62. Rathinam, Sivakumar & Sengupta, Raja, 2006. "Lower and Upper Bounds for a Symmetric Multiple Depot, Multiple Travelling Salesman Problem," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt4z68041r, Institute of Transportation Studies, UC Berkeley.
  63. Elena Nechita & Gloria Cerasela Crişan & Laszlo Barna Iantovics & Yitong Huang, 2020. "On the Resilience of Ant Algorithms. Experiment with Adapted MMAS on TSP," Mathematics, MDPI, vol. 8(5), pages 1-20, May.
  64. David Füßler & Stefan Fedtke & Nils Boysen, 2019. "The cafeteria problem: order sequencing and picker routing in on-the-line picking systems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(3), pages 727-756, September.
  65. Igor Litvinchev & Socorro Rangel & Jania Saucedo, 2010. "A Lagrangian bound for many-to-many assignment problems," Journal of Combinatorial Optimization, Springer, vol. 19(3), pages 241-257, April.
  66. Marco A. Boschetti & Vittorio Maniezzo & Matteo Roffilli, 2011. "A Fully Distributed Lagrangean Solution for a Peer-to-Peer Overlay Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 23(1), pages 90-104, February.
  67. Öztürkoğlu, Ömer & Hoser, Deniz, 2019. "A discrete cross aisle design model for order-picking warehouses," European Journal of Operational Research, Elsevier, vol. 275(2), pages 411-430.
  68. Ghosh, Diptesh & Sumanta Basu, 2011. "Diversified Local Search for the Traveling Salesman Problem," IIMA Working Papers WP2011-01-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
  69. Shengbin Wang & Weizhen Rao & Yuan Hong, 2020. "A distance matrix based algorithm for solving the traveling salesman problem," Operational Research, Springer, vol. 20(3), pages 1505-1542, September.
  70. Marcel Turkensteen & Dmitry Malyshev & Boris Goldengorin & Panos M. Pardalos, 2017. "The reduction of computation times of upper and lower tolerances for selected combinatorial optimization problems," Journal of Global Optimization, Springer, vol. 68(3), pages 601-622, July.
  71. Steeger, Gregory & Rebennack, Steffen, 2017. "Dynamic convexification within nested Benders decomposition using Lagrangian relaxation: An application to the strategic bidding problem," European Journal of Operational Research, Elsevier, vol. 257(2), pages 669-686.
  72. Michael Brusco & Hans-Friedrich Köhn, 2008. "Optimal Partitioning of a Data Set Based on the p-Median Model," Psychometrika, Springer;The Psychometric Society, vol. 73(1), pages 89-105, March.
  73. Tamer F. Abdelmaguid, 2018. "An Efficient Mixed Integer Linear Programming Model for the Minimum Spanning Tree Problem," Mathematics, MDPI, vol. 6(10), pages 1-17, September.
  74. Colbertaldo, P. & Cerniauskas, S. & Grube, T. & Robinius, M. & Stolten, D. & Campanari, S., 2020. "Clean mobility infrastructure and sector integration in long-term energy scenarios: The case of Italy," Renewable and Sustainable Energy Reviews, Elsevier, vol. 133(C).
  75. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
  76. Torbjörn Larsson & Michael Patriksson, 2006. "Global Optimality Conditions for Discrete and Nonconvex Optimization---With Applications to Lagrangian Heuristics and Column Generation," Operations Research, INFORMS, vol. 54(3), pages 436-453, June.
  77. Schuijbroek, J. & Hampshire, R.C. & van Hoeve, W.-J., 2017. "Inventory rebalancing and vehicle routing in bike sharing systems," European Journal of Operational Research, Elsevier, vol. 257(3), pages 992-1004.
  78. Fatemeh Keshavarz-Ghorbani & Seyed Hamid Reza Pasandideh, 2022. "A Lagrangian relaxation algorithm for optimizing a bi-objective agro-supply chain model considering CO2 emissions," Annals of Operations Research, Springer, vol. 314(2), pages 497-527, July.
  79. Chris Walshaw, 2002. "A Multilevel Approach to the Travelling Salesman Problem," Operations Research, INFORMS, vol. 50(5), pages 862-877, October.
  80. Kouhei Harada, 2021. "A Feasibility-Ensured Lagrangian Heuristic for General Decomposable Problems," SN Operations Research Forum, Springer, vol. 2(4), pages 1-26, December.
  81. Martí, Rafael & Resende, Mauricio G.C. & Ribeiro, Celso C., 2013. "Multi-start methods for combinatorial optimization," European Journal of Operational Research, Elsevier, vol. 226(1), pages 1-8.
  82. Yao, Yu & Zhu, Xiaoning & Dong, Hongyu & Wu, Shengnan & Wu, Hailong & Carol Tong, Lu & Zhou, Xuesong, 2019. "ADMM-based problem decomposition scheme for vehicle routing problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 156-174.
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