Research Article

Optimization for Metro Operation Scheme of Suburban Lines: A New Method for Dealing with the Imbalanced Passenger Flow

Table 1

Notations and parameters used in the paper.

Travel time and cost of passengers on express and local lines, yuan
Time-consuming weight
Waiting time in the platform, min
Travel time in the sections, min
dDwell time, min
Congestion cost, yuan
The departures of class k trains within one hour, train
Distance between stations j and station l, km
The sections which the train K passes
The speed of train k, km/h
The departure station
The arrival station
The passengers who choose class k of trains in the sections
Train formation of class k
The train capacity of class k
The distance of sections
The running speed of train
The travel cost of section r-s for route , yuan
The average travel cost of all routes, yuan
The probability of passengers choosing route
The passenger flow of route , person
OD passenger flow in RS section, person
Section passenger flow, person
When section a belongs to the -th path of R-S, it is 1, otherwise, it is 0
The running time in sections i-j, min
The start additional time of local trains in station i, min
The dwell time of local trains in station i, min
Whether the express train stop at station i, if it stops i = 1, if not i = 0
The number of stations
The passengers who select train K from station i to station j
Total travel time of passengers in the upward direction, min
Total travel time of passengers in the downward direction, min
The length of optimize period, min
The departure frequency of express trains, train/h
The departure frequency of local trains, train/h
The travel length from station i to station j, km
The total running distance of uplink trains in the optimized period, km
The total running distance of the downlink train in the optimized period, km
The total cost of train operation, yuan
Running cost per kilometer, yuan/km
The total dwell stops of uplink trains in the optimized period
The total dwell stops of downlink trains in the optimized period
The total cost of train stopping, yuan
The stop cost of every station, yuan/time
Interval running time(s)
The transfer time(s)
Waiting time of trains overtake
In traditional operation mode, the whole travel time is from station m to station n when the local train runs
The travel time of an express train from station m to station n
The travel time of a local train from station m to station n
The travel time for passengers from m to n by taking a local train and then transferring to an express train
The travel time for passengers from m to n by taking an express train and then transferring to a local train
A station for an express train
sThe first station where an express stops when a local train transferring to an express train
The last station where an express train stops when transferring from a local train
Unit passenger route time, s
Total travel time of passengers, s
If there is a transfer, transfer time for passengers to transfer to other lines s
The exit time of passenger, s
Total travel time, s
Total travel time by express trains, s
Total travel time by local trains, s