Alternative solution algorithm for winner determination problem with quantity discount of transportation service procurement
This study examines the winner determination problem (WDP) for the procurement of transportation service. The problem contains three important roles, namely, shippers, carriers, and third-party carriers. Shippers determine the service lanes that can be outsourced to carriers so that the transportati...
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| Veröffentlicht in: | Physica A Jg. 535; S. 122286 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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01.12.2019
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| ISSN: | 0378-4371, 1873-2119 |
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| Abstract | This study examines the winner determination problem (WDP) for the procurement of transportation service. The problem contains three important roles, namely, shippers, carriers, and third-party carriers. Shippers determine the service lanes that can be outsourced to carriers so that the transportation service cost may be reduced. The WDP can be formulated as a mixed integer linear programming (MILP) model. However, when solving a general MILP model, it is easy to fall into the imbalanced issue of branch-and-bound trees, such that the computational time becomes longer. This study proposes a deterministic model with a powerful and significant theoretical mechanism to conquer the imbalanced issue. Solving the proposed model can minimize the service costs subject to each lane being served by carriers and consider the quantity discount. The most important objective in this study is to identify an iterative algorithm that embeds the proposed model, which presents all alternative solutions for shippers to consider better options. Numerical experiment is also presented to confirm the usefulness of the proposed method.
•An efficient formulation model is proposed.•The quantity-discount procurement in the auction is considered.•Optimal solution is obtained.•Identifying all alternative optimal solutions for the shipper to consider better options.•The proposed method with powerful theorem is also applicable to the expert and intelligent system. |
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| AbstractList | This study examines the winner determination problem (WDP) for the procurement of transportation service. The problem contains three important roles, namely, shippers, carriers, and third-party carriers. Shippers determine the service lanes that can be outsourced to carriers so that the transportation service cost may be reduced. The WDP can be formulated as a mixed integer linear programming (MILP) model. However, when solving a general MILP model, it is easy to fall into the imbalanced issue of branch-and-bound trees, such that the computational time becomes longer. This study proposes a deterministic model with a powerful and significant theoretical mechanism to conquer the imbalanced issue. Solving the proposed model can minimize the service costs subject to each lane being served by carriers and consider the quantity discount. The most important objective in this study is to identify an iterative algorithm that embeds the proposed model, which presents all alternative solutions for shippers to consider better options. Numerical experiment is also presented to confirm the usefulness of the proposed method.
•An efficient formulation model is proposed.•The quantity-discount procurement in the auction is considered.•Optimal solution is obtained.•Identifying all alternative optimal solutions for the shipper to consider better options.•The proposed method with powerful theorem is also applicable to the expert and intelligent system. |
| ArticleNumber | 122286 |
| Author | Li, Jun Huang, Yao-Huei Yang, Fang |
| Author_xml | – sequence: 1 givenname: Fang surname: Yang fullname: Yang, Fang email: yangfang@my.swjtu.edu.cn organization: School of Economics and Management, Southwest Jiaotong University, Chengdu, 610031, China – sequence: 2 givenname: Yao-Huei surname: Huang fullname: Huang, Yao-Huei email: yaohuei.huang@home.swjtu.edu.cn organization: Department of Information Management, Fu Jen Catholic University, New Taipei City, Taiwan – sequence: 3 givenname: Jun surname: Li fullname: Li, Jun email: lijun@my.swjtu.edu.cn organization: School of Economics and Management, Southwest Jiaotong University, Chengdu, 610031, China |
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| Cites_doi | 10.1057/palgrave.jors.2602131 10.1016/j.trb.2015.03.019 10.1287/inte.32.5.4.30 10.1137/0123007 10.12660/joscmv3n1p55-66 10.1007/3-540-36626-1_3 10.1287/ijoc.2016.0716 10.1016/j.ejor.2006.11.024 10.1016/j.trc.2013.07.006 10.1016/j.cor.2018.08.010 10.1016/j.disopt.2012.10.001 10.1287/inte.33.1.23.12717 10.1002/j.2158-1592.2003.tb00048.x 10.1016/j.ijpe.2018.01.035 10.1016/j.physa.2018.03.062 10.1287/ijoc.1120.0527 10.1007/s11067-013-9214-6 10.1016/j.ejor.2006.01.010 10.1287/trsc.1090.0273 10.1007/BF00132502 10.1080/02331934.2013.877906 10.1016/j.tre.2009.02.002 10.1016/j.ejor.2006.01.034 10.1016/j.orl.2013.09.004 10.1016/j.cie.2018.05.042 |
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| Keywords | Winner determination problem Mixed integer linear programming model Transportation service Alternative solutions |
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| References | Hohner, Rich, Ng, Reid, Davenport, Kalagnanam, …, An (b19) 2003; 33 Lehmann, Müller, Sandholm (b11) 2006; 29 Yadati, Oliveira, Pardalos (b22) 2007; 9 Remli, Rekik (b17) 2013; 35 Gujo, Schwind (b15) 2007 Manerba, Mansini, Perboli (b24) 2018; 198 Guo, Lim, Zhu, Rodrigues (b13) 2003 Caplice, Sheffi (b6) 2006 Tsai (b20) 2006; 177 Chopra, Meindl (b1) 2007 Mirzaee, Naderi, Pasandideh (b26) 2018; 122 Caplice, Sheffi (b12) 2003; 24 Guo, Lim, Rodrigues, Zhu (b14) 2006; 57 Ledyard, Olson, Porter, Swanson, Torma (b7) 2002; 32 Li, Huang, Fang (b30) 2017; 29 Li, Huang, Fang (b29) 2013; 25 Tsai, Wang, Lin (b32) 2015; 64 Babayev (b36) 1997; 2 Yıldız, Vielma (b28) 2013; 41 Manerba, Perboli (b27) 2019; 101 Chen, AhmadBeygi, Cohn, Beil, Sinha (b4) 2009; 43 Martins, Xavier, de Souza Filho, Martins (b3) 2010; 3 GUROBI, Gurobi optimization, Inc., 2017 Kameshwaran, Narahari, Rosa, Kulkarni, Tew (b21) 2007; 179 Elmaghraby, Keskinocak (b8) 2004 Zhang, Ding, Li, Wang, Yao (b18) 2014; 14 Li, Yang, Wu, He, Zhao (b25) 2018; 505 Ma, Kwon, Lee (b16) 2010; 46 . Zhang, Yao, Friesz, Sun (b5) 2015; 78 Ma (b10) 2008 Lu (b31) 2013; 10 Tsai, Lin, Hu (b34) 2008; 84 De Vries, Vohra (b9) 2003 Sanders (b2) 2012 Verma, Hemachandra, Narahari, Tew (b23) 2014; 28 Balas, Jeroslow (b33) 1972; 23 Hohner (10.1016/j.physa.2019.122286_b19) 2003; 33 10.1016/j.physa.2019.122286_b35 Guo (10.1016/j.physa.2019.122286_b14) 2006; 57 Balas (10.1016/j.physa.2019.122286_b33) 1972; 23 Caplice (10.1016/j.physa.2019.122286_b6) 2006 Elmaghraby (10.1016/j.physa.2019.122286_b8) 2004 Mirzaee (10.1016/j.physa.2019.122286_b26) 2018; 122 Chopra (10.1016/j.physa.2019.122286_b1) 2007 Sanders (10.1016/j.physa.2019.122286_b2) 2012 Babayev (10.1016/j.physa.2019.122286_b36) 1997; 2 Kameshwaran (10.1016/j.physa.2019.122286_b21) 2007; 179 Ledyard (10.1016/j.physa.2019.122286_b7) 2002; 32 Martins (10.1016/j.physa.2019.122286_b3) 2010; 3 Manerba (10.1016/j.physa.2019.122286_b24) 2018; 198 De Vries (10.1016/j.physa.2019.122286_b9) 2003 Guo (10.1016/j.physa.2019.122286_b13) 2003 Tsai (10.1016/j.physa.2019.122286_b32) 2015; 64 Yadati (10.1016/j.physa.2019.122286_b22) 2007; 9 Lehmann (10.1016/j.physa.2019.122286_b11) 2006; 29 Li (10.1016/j.physa.2019.122286_b29) 2013; 25 Caplice (10.1016/j.physa.2019.122286_b12) 2003; 24 Li (10.1016/j.physa.2019.122286_b30) 2017; 29 Zhang (10.1016/j.physa.2019.122286_b5) 2015; 78 Gujo (10.1016/j.physa.2019.122286_b15) 2007 Tsai (10.1016/j.physa.2019.122286_b20) 2006; 177 Tsai (10.1016/j.physa.2019.122286_b34) 2008; 84 Chen (10.1016/j.physa.2019.122286_b4) 2009; 43 Remli (10.1016/j.physa.2019.122286_b17) 2013; 35 Li (10.1016/j.physa.2019.122286_b25) 2018; 505 Lu (10.1016/j.physa.2019.122286_b31) 2013; 10 Ma (10.1016/j.physa.2019.122286_b16) 2010; 46 Yıldız (10.1016/j.physa.2019.122286_b28) 2013; 41 Ma (10.1016/j.physa.2019.122286_b10) 2008 Zhang (10.1016/j.physa.2019.122286_b18) 2014; 14 Manerba (10.1016/j.physa.2019.122286_b27) 2019; 101 Verma (10.1016/j.physa.2019.122286_b23) 2014; 28 |
| References_xml | – volume: 25 start-page: 643 year: 2013 end-page: 653 ident: b29 article-title: A logarithmic method for reducing binary variables and inequality constraints in solving task assignment problems publication-title: INFORMS J. Comput. – year: 2012 ident: b2 article-title: Supply Chain Management: A Global Perspective – volume: 14 start-page: 159 year: 2014 end-page: 181 ident: b18 article-title: A sampling-based stochastic winner determination model for truckload service procurement publication-title: Netw. Spat. Econ. – volume: 41 start-page: 654 year: 2013 end-page: 658 ident: b28 article-title: Incremental and encoding formulations for mixed integer programming publication-title: Oper. Res. Lett. – volume: 3 start-page: 55 year: 2010 end-page: 66 ident: b3 article-title: Transport management in small and medium-sized enterprises in Brazil publication-title: J. Oper. Supply Chain Manag. – start-page: 245 year: 2004 end-page: 258 ident: b8 article-title: Combinatorial auctions in procurement publication-title: The Practice of Supply Chain Management: Where Theory and Application Converge – volume: 177 start-page: 982 year: 2006 end-page: 994 ident: b20 article-title: An optimization approach for supply chain management models with quantity discount policy publication-title: European J. Oper. Res. – volume: 10 start-page: 11 year: 2013 end-page: 24 ident: b31 article-title: A logarithmic method for eliminating binary variables and constraints for the product of free-sign discrete functions publication-title: Discrete Optim. – volume: 28 start-page: 9 year: 2014 end-page: 315 ident: b23 article-title: Winner determination in multi-unit procurement auctions with volume discount bids and lead time constraints publication-title: Appl. Multi-Criteria Game Theory Approaches – volume: 43 start-page: 493 year: 2009 end-page: 510 ident: b4 article-title: Solving truckload procurement auctions over an exponential number of bundles publication-title: Transp. Sci. – volume: 198 start-page: 119 year: 2018 end-page: 132 ident: b24 article-title: The capacitated supplier selection problem with total quantity discount policy and activation costs under uncertainty publication-title: Int. J. Prod. Econ. – start-page: 265 year: 2007 end-page: 275 ident: b1 article-title: Supply chain management publication-title: Das Summa Summarum Des Management – volume: 24 start-page: 109 year: 2003 end-page: 128 ident: b12 article-title: Optimization-based procurement for transportation services publication-title: J. Bus. Logist. – year: 2008 ident: b10 article-title: Combinatorial auctions for truckload transportation procurement – start-page: 303 year: 2007 end-page: 315 ident: b15 article-title: Bid formation in a combinatorial auction for logistics services publication-title: International Conference on Enterprise Information Systems – volume: 179 start-page: 518 year: 2007 end-page: 536 ident: b21 article-title: Multi-attribute electronic procurement using goal programming publication-title: European J. Oper. Res. – volume: 9 start-page: 51 year: 2007 end-page: 66 ident: b22 article-title: An approximate winner determination algorithm for hybrid procurement mechanisms logistics publication-title: Adv. Comput. Manag. Sci. – start-page: 290 year: 2003 end-page: 294 ident: b13 article-title: Transportation bid analysis optimization with shipper input publication-title: Proceedings. 15th IEEE International Conference on Tools with Artificial Intelligence – volume: 57 start-page: 1472 year: 2006 end-page: 1481 ident: b14 article-title: Carrier assignment models in transportation procurement publication-title: J. Oper. Res. Soc. – volume: 35 start-page: 204 year: 2013 end-page: 217 ident: b17 article-title: A robust winner determination problem for combinatorial transportation auctions under uncertain shipment volumes publication-title: Transp. Res. C – volume: 101 start-page: 29 year: 2019 end-page: 42 ident: b27 article-title: New solution approaches for the capacitated supplier selection problem with total quantity discount and activation costs under demand uncertainty publication-title: Comput. Oper. Res. – volume: 29 start-page: 7 year: 2006 end-page: 318 ident: b11 article-title: The winner determination problem publication-title: Combinator. Auctions – volume: 122 start-page: 292 year: 2018 end-page: 302 ident: b26 article-title: A preemptive fuzzy goal programming model for generalized supplier selection and order allocation with incremental discount publication-title: Comput. Ind. Eng. – volume: 33 start-page: 23 year: 2003 end-page: 35 ident: b19 article-title: Combinatorial and quantity-discount procurement auctions benefit Mars, Incorporated and its suppliers publication-title: Interfaces – volume: 2 start-page: 313 year: 1997 end-page: 320 ident: b36 article-title: Piece-wise linear approximation of functions of two variables publication-title: J. Heuristics – volume: 84 start-page: 802 year: 2008 end-page: 809 ident: b34 article-title: Finding multiple solutions to general integer linear programs publication-title: European J. Oper. Res. – volume: 23 start-page: 61 year: 1972 end-page: 69 ident: b33 article-title: Canonical cuts on the unit hypercube publication-title: SIAM J. Appl. Math. – volume: 505 start-page: 512 year: 2018 end-page: 522 ident: b25 article-title: Discount pricing in word-of-mouth marketing: An optimal control approach publication-title: Physica A – start-page: 284 year: 2003 end-page: 309 ident: b9 article-title: Combinatorial Auctions: A Survey, vol. 15(3) – volume: 64 start-page: 2601 year: 2015 end-page: 2618 ident: b32 article-title: A global optimization approach for solving three-dimensional open dimension rectangular packing problems publication-title: Optimization – volume: 29 start-page: 108 year: 2017 end-page: 122 ident: b30 article-title: Linear reformulation of polynomial discrete programming for fast computation publication-title: INFORMS J. Comput. – reference: . – volume: 46 start-page: 49 year: 2010 end-page: 60 ident: b16 article-title: A stochastic programming winner determination model for truckload procurement under shipper uncertainty publication-title: Transp. Res. E – start-page: 539 year: 2006 end-page: 572 ident: b6 article-title: Combinatorial auctions for truckload transportation publication-title: Combinator. Auctions – volume: 32 start-page: 4 year: 2002 end-page: 12 ident: b7 article-title: The first use of a combined-value auction for transportation services publication-title: Interfaces – reference: GUROBI, Gurobi optimization, Inc., 2017, – volume: 78 start-page: 16 year: 2015 end-page: 31 ident: b5 article-title: A tractable two-stage robust winner determination model for truckload service procurement via combinatorial auctions publication-title: Transp. Res. B – start-page: 265 year: 2007 ident: 10.1016/j.physa.2019.122286_b1 article-title: Supply chain management – volume: 57 start-page: 1472 issue: 12 year: 2006 ident: 10.1016/j.physa.2019.122286_b14 article-title: Carrier assignment models in transportation procurement publication-title: J. Oper. Res. Soc. doi: 10.1057/palgrave.jors.2602131 – ident: 10.1016/j.physa.2019.122286_b35 – volume: 78 start-page: 16 year: 2015 ident: 10.1016/j.physa.2019.122286_b5 article-title: A tractable two-stage robust winner determination model for truckload service procurement via combinatorial auctions publication-title: Transp. Res. B doi: 10.1016/j.trb.2015.03.019 – volume: 32 start-page: 4 issue: 5 year: 2002 ident: 10.1016/j.physa.2019.122286_b7 article-title: The first use of a combined-value auction for transportation services publication-title: Interfaces doi: 10.1287/inte.32.5.4.30 – start-page: 245 year: 2004 ident: 10.1016/j.physa.2019.122286_b8 article-title: Combinatorial auctions in procurement – volume: 23 start-page: 61 issue: 1 year: 1972 ident: 10.1016/j.physa.2019.122286_b33 article-title: Canonical cuts on the unit hypercube publication-title: SIAM J. Appl. Math. doi: 10.1137/0123007 – start-page: 303 year: 2007 ident: 10.1016/j.physa.2019.122286_b15 article-title: Bid formation in a combinatorial auction for logistics services – volume: 28 start-page: 9 year: 2014 ident: 10.1016/j.physa.2019.122286_b23 article-title: Winner determination in multi-unit procurement auctions with volume discount bids and lead time constraints publication-title: Appl. Multi-Criteria Game Theory Approaches – volume: 3 start-page: 55 issue: 1 year: 2010 ident: 10.1016/j.physa.2019.122286_b3 article-title: Transport management in small and medium-sized enterprises in Brazil publication-title: J. Oper. Supply Chain Manag. doi: 10.12660/joscmv3n1p55-66 – volume: 9 start-page: 51 issue: 1 year: 2007 ident: 10.1016/j.physa.2019.122286_b22 article-title: An approximate winner determination algorithm for hybrid procurement mechanisms logistics publication-title: Adv. Comput. Manag. Sci. doi: 10.1007/3-540-36626-1_3 – volume: 29 start-page: 108 issue: 1 year: 2017 ident: 10.1016/j.physa.2019.122286_b30 article-title: Linear reformulation of polynomial discrete programming for fast computation publication-title: INFORMS J. Comput. doi: 10.1287/ijoc.2016.0716 – volume: 84 start-page: 802 year: 2008 ident: 10.1016/j.physa.2019.122286_b34 article-title: Finding multiple solutions to general integer linear programs publication-title: European J. Oper. Res. doi: 10.1016/j.ejor.2006.11.024 – volume: 35 start-page: 204 year: 2013 ident: 10.1016/j.physa.2019.122286_b17 article-title: A robust winner determination problem for combinatorial transportation auctions under uncertain shipment volumes publication-title: Transp. Res. C doi: 10.1016/j.trc.2013.07.006 – volume: 101 start-page: 29 year: 2019 ident: 10.1016/j.physa.2019.122286_b27 article-title: New solution approaches for the capacitated supplier selection problem with total quantity discount and activation costs under demand uncertainty publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2018.08.010 – volume: 10 start-page: 11 issue: 1 year: 2013 ident: 10.1016/j.physa.2019.122286_b31 article-title: A logarithmic method for eliminating binary variables and constraints for the product of free-sign discrete functions publication-title: Discrete Optim. doi: 10.1016/j.disopt.2012.10.001 – start-page: 290 year: 2003 ident: 10.1016/j.physa.2019.122286_b13 article-title: Transportation bid analysis optimization with shipper input – volume: 33 start-page: 23 issue: 1 year: 2003 ident: 10.1016/j.physa.2019.122286_b19 article-title: Combinatorial and quantity-discount procurement auctions benefit Mars, Incorporated and its suppliers publication-title: Interfaces doi: 10.1287/inte.33.1.23.12717 – volume: 29 start-page: 7 year: 2006 ident: 10.1016/j.physa.2019.122286_b11 article-title: The winner determination problem publication-title: Combinator. Auctions – start-page: 539 year: 2006 ident: 10.1016/j.physa.2019.122286_b6 article-title: Combinatorial auctions for truckload transportation publication-title: Combinator. Auctions – volume: 24 start-page: 109 issue: 2 year: 2003 ident: 10.1016/j.physa.2019.122286_b12 article-title: Optimization-based procurement for transportation services publication-title: J. Bus. Logist. doi: 10.1002/j.2158-1592.2003.tb00048.x – volume: 198 start-page: 119 year: 2018 ident: 10.1016/j.physa.2019.122286_b24 article-title: The capacitated supplier selection problem with total quantity discount policy and activation costs under uncertainty publication-title: Int. J. Prod. Econ. doi: 10.1016/j.ijpe.2018.01.035 – volume: 505 start-page: 512 year: 2018 ident: 10.1016/j.physa.2019.122286_b25 article-title: Discount pricing in word-of-mouth marketing: An optimal control approach publication-title: Physica A doi: 10.1016/j.physa.2018.03.062 – volume: 25 start-page: 643 issue: 4 year: 2013 ident: 10.1016/j.physa.2019.122286_b29 article-title: A logarithmic method for reducing binary variables and inequality constraints in solving task assignment problems publication-title: INFORMS J. Comput. doi: 10.1287/ijoc.1120.0527 – volume: 14 start-page: 159 issue: 2 year: 2014 ident: 10.1016/j.physa.2019.122286_b18 article-title: A sampling-based stochastic winner determination model for truckload service procurement publication-title: Netw. Spat. Econ. doi: 10.1007/s11067-013-9214-6 – volume: 179 start-page: 518 issue: 2 year: 2007 ident: 10.1016/j.physa.2019.122286_b21 article-title: Multi-attribute electronic procurement using goal programming publication-title: European J. Oper. Res. doi: 10.1016/j.ejor.2006.01.010 – year: 2008 ident: 10.1016/j.physa.2019.122286_b10 – volume: 43 start-page: 493 issue: 4 year: 2009 ident: 10.1016/j.physa.2019.122286_b4 article-title: Solving truckload procurement auctions over an exponential number of bundles publication-title: Transp. Sci. doi: 10.1287/trsc.1090.0273 – volume: 2 start-page: 313 year: 1997 ident: 10.1016/j.physa.2019.122286_b36 article-title: Piece-wise linear approximation of functions of two variables publication-title: J. Heuristics doi: 10.1007/BF00132502 – volume: 64 start-page: 2601 issue: 12 year: 2015 ident: 10.1016/j.physa.2019.122286_b32 article-title: A global optimization approach for solving three-dimensional open dimension rectangular packing problems publication-title: Optimization doi: 10.1080/02331934.2013.877906 – start-page: 284 year: 2003 ident: 10.1016/j.physa.2019.122286_b9 – volume: 46 start-page: 49 issue: 1 year: 2010 ident: 10.1016/j.physa.2019.122286_b16 article-title: A stochastic programming winner determination model for truckload procurement under shipper uncertainty publication-title: Transp. Res. E doi: 10.1016/j.tre.2009.02.002 – volume: 177 start-page: 982 issue: 2 year: 2006 ident: 10.1016/j.physa.2019.122286_b20 article-title: An optimization approach for supply chain management models with quantity discount policy publication-title: European J. Oper. Res. doi: 10.1016/j.ejor.2006.01.034 – year: 2012 ident: 10.1016/j.physa.2019.122286_b2 – volume: 41 start-page: 654 issue: 6 year: 2013 ident: 10.1016/j.physa.2019.122286_b28 article-title: Incremental and encoding formulations for mixed integer programming publication-title: Oper. Res. Lett. doi: 10.1016/j.orl.2013.09.004 – volume: 122 start-page: 292 year: 2018 ident: 10.1016/j.physa.2019.122286_b26 article-title: A preemptive fuzzy goal programming model for generalized supplier selection and order allocation with incremental discount publication-title: Comput. Ind. Eng. doi: 10.1016/j.cie.2018.05.042 |
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| SubjectTerms | Alternative solutions Mixed integer linear programming model Transportation service Winner determination problem |
| Title | Alternative solution algorithm for winner determination problem with quantity discount of transportation service procurement |
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