城市轨道交通线路票价策略优化.pdf

36??6??????????Vol.36, No.62016?6?Systems Engineering — Theory 2.????Æ??????????,??300251)??????????????????????????,?????????????????????,?????????????????????????.??????????????????????????,?????????????????????.???????????????????????,????????????????????,???????????????????????????????????????????.??????,???????????.?????2????,????????????????????????.????????????,???????2?????????.???????????;????;??;??????;??????Fare optimization for urban rail lineDENG Lianbo1, WANG Feng1, ZHANG Zhao1, WANG Qing1, LAI Tianzhen2(1. School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China; 2. The Third Railway Survey and Design Institute Group Corporation, Tianjin 300251, China)AbstractFare decision, as an important part of management location decision of urban rail transit, is the key factor of attracting passengers and get a appropriate market share, and determines urban rail transit’s operating conditions and competitiveness. Urban rail transit fare strategies include fare structures and fare level.Fare structures are divided into flat fare, distance-based fare and sectional fare.We propose a rail transit line fare strategy model based on operating plan under passengers’ elastic demand, and the optimization of fare level under various fare structures comprehensively considered. The model’sobjective function is to maximize social profits, containing passenger flow demand and benefits of operation enterprises. Simulated annealing algorithm is designed based on the model’s features. Taking Changsha Metro Line 2 for example, we get optimal and practical fare strategies of various fare structures. Based on the comprehensive analysis of optimal strategies, the recommended fare schemes of Changsha Metro 2 are given.Keywords urban rail transit line; fare strategy; fare structure; train operation plan; simulated annealing algorithm1?????????????????Æ????????,??????????????????Æ??????.?????????????????????.????????????????,?????????????????????????.??[1]??????????????????????????. Nassi???????????????: 2015-05-05????:???(1977–),?,?????,??,??,?????,????:?????????, E-mail: lbdeng@csu. .????:????????(71471179, 71401182);???????(132017) Foundation item: National Natural Science Foundation of China (71471179, 71401182); Fok Ying-tung Education Foundation (132017)??????:???,??,??,?.??????????????[J].?????????, 2016, 36(6): 1568–1575.??????: Deng L B, Wang F, Zhang Z, et al. Fare optimization for urban rail line[J]. Systems Engineering — Theory ??,??exp(ΔΨ/Γ) > rand, rand?(0,1)??????,??(H,f) = (H∗,f∗ij). n = n + 1.?4??????????.?n = N?,?????, k = k + 1,??5?;????2?.?5???????.??????Γ = Γ0αk,??α??????.?6??????????.???????k ≥ K?,????,?????.??,??2?.5????5.1??????????2008??2014???????????2???????,??w (1,LS)=21.36km, LS=19.??????????2016??????????,??????1??,??????????????????????[17].?6????,?:??????????????1573???????????,??f = 9??????f0w?f0s= 2?,?????????????????ks= 3.????????K = 100?α = 0.99.????????2??,??S(i,j) = ?(j − i − 1)/3??????????????.??2??,???????,???????????,??????????,???????????????????,?????????.???????????,??????????????????.??,?????????????????????;???????????????????????????????????????,??????????????????,?????????????????????.?1?????Æ?????Æ?????a10.15-V210 passengers a24-λ1.5- aB0.491/hε25%- af0.11/hβ24%- aI0.051/hσ1.2- aw1.21/hγ03800?/km cU325?/h-vehγ1525?h m6vehicleΛ04200?/km t01/120hΛ10.5? τ025minτ2min v40km/h?2????????????????????????? f/?4.472.00 + 0.24w(i,j) 2.00 + 0.94S(i,j) P/?54648.9913917.63−3346.78???/??659727687480878????Ψ133815.39106166.4393659.77??????/(?/??)141212?????/(?/???)0.710.610.55???????/??165171745317722???/????41.4441.7143.64????/km6.285.435.40????/(??/km)308835993786???????/%93.63115.43117.215.2?????????????Æ?????????,??????????????????,??????????????,???????????????????????????.????????????,??????????????????????.??,?????????,????????????????????????: 2????1∼3?, 3?4∼6?, 4?7∼9?, 5?10∼13?, 6?14∼18?.??????????????????????????3??.?3??????????????? (??)????? (??)????? (??)????? (????)f/?4.50?OD??2.00 + 1.00S(i,j)?????? P/?551709799.9−2492.1−1280.1???/??65532772297991180457????Ψ1338081026509340195268??????/(?/??)13121212?????/(?/???)0.720.610.570.56???????/??16407175001734217620???/????41.1641.8042.5943.53????/??6.285.415.335.41????/(??/??)3068361537413766???????/%100.16115.74114.70116.53??2??3??,????????????????????:???????????Æ?0. 03?/??;??????????????0.06?/???;???????????,??????????????Æ?.??,??????????????,??????????????????????????.5.3????????????ks??????????????ks??????????????????????,?4?1 ≤ ks≤ 61574??????????36?????????????.??4??,??ks?????, f0w????,??????fw??????,?????????????????????????,?????????.?ks?????,????????,????????.????????ks= 3,??????????????????.?4 ks???????ks123456 f0w/?2.002.002.002.002.002.00 fw/?0.280.580.941.221.561.95 P/?4819.31063−3347−12543−16269−24131???/??803218055980878838508382086400 Ψ1012009773393660880778431579549????/km5.495.445.405.475.465.51?????/(?/???)0.580.560.550.520.500.485.4??????????????????????????1??.????,?。