Is +1 is definitely the arrival interval between two trains the station (j (j + Situation two: When arrival interval among the regional train and the behind express Scenario 2: When the the arrival interval in between the regional train and also the behind express train at station j satisfies security requirement, even so, the departing interval at at station train at station j satisfies the the safety requirement, on the other hand, the departing intervalstation j is j is not satisfied, the express train desires to overtakelocallocal train at stationshown in not satisfied, the express train desires to overtake the the train at station j, as j, as shown in Figure this this scenario, whether the i overtake the the neighborhood train at station Figure 2b. In2b. Inscenario, no matter whether the train train i overtake nearby train at station j isj is calculated by Equation calculated by Equation (9).(9).-1, 1, i i- 1, taai1,i i xi , I aa + (1 – xi j ) I I and tdd ii–1,i x j I d + (1 – xi , ) I d yi , j =1, taa j ji -1,i xi,jj Iaa + (1 – x, i,j ) atat and tddjij-1,i i ,xi,j Idd + (1 -j xi,j ) tIdt 0, taa x I + (1 – x ) I and tdd yi,j = xi , j I d d + (1 – xi , j ) I d t i, j aa i, j at j j 0, taai-1,i xi,j Iaa + (1 – xi,j ) Iat and tddi-1,i xi,j Idd + (1 – xi,j ) Idt(9) (9)jjAdjustment on the train timetable immediately after an overtaking three. Adjustment with the train timetable following an overtaking If overtaking occurs, thethe tzthe the overtaken trainthe the overtaking station needsbe be If overtaking occurs, tz of of overtaken train at at overtaking station wants to to extended. The departure time of thethe overtaken trainthethe overtaking stationchanged extended. The departure time of overtaken train at at overtaking station is is changed to thethe original timewhich overtake train passes by means of thethe overtaking station plus Itd . to original time at at which overtake train passes through overtaking station plus Itd. The arrival and departure times of thethe overtaken traineach subsequent station have to for the arrival and departure times of overtaken train at at each subsequent station want be recalculated according to around the corresponding inter-station travel time and tz . be recalculated based the corresponding inter-station travel time and tz. The timetable for for every single subsequent train needs be be adjusted accordingly determined by The timetable each and every subsequent train wants to to adjusted accordingly according to thethe tconstraint. In the event the the interval Elinogrel web constraint is unsatisfied, then the absolute value thethe tmin min constraint. If interval constraint is unsatisfied, then the absolute value of of distinction amongst thethe needed and actual intervals demands be be added thethe current difference among essential and actual intervals requires to to added to to present arrival and departure instances. The arrival and departure occasions at every single subsequent station have to be recalculated determined by the corresponding inter-station travel time and tz .3.two. Passenger Flow Parameters Our model calculations involve the following principal passenger flow parameters: the amount of Hexaflumuron manufacturer waiting passengers at every station, the amount of boarding passengers, the3.Appl. Sci. 2021, 11,7 ofnumber of alighting passengers, the amount of onboard passengers, along with the quantity of delayed passengers. three.2.1. Number of Passengers Waiting in the Origin Station with the Line Beneath the assumption that passengers arriving in the origin station adhere to a uniform distribution throughout the study period, the total quantity of passengers who enter the origin statio.