CN110135721B - Train passenger ticket supplementing scheduling method based on overload limitation of dynamic reverse calculation - Google Patents
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Abstract
The train passenger ticket supplementing dispatching method based on the overload limitation of the dynamic reverse calculation comprises the steps of accumulating the number and classification of specific passengers at each station in real time, extracting and accumulating the number of tickets which are sold in advance at each station, performing the dynamic reverse calculation, and judging the dispatching termination condition; the dynamic reverse calculation overall requirement is that the number of tickets which are sold in advance in each station is extracted and accumulated according to the real-time accumulation of the number and classification of specific passengers in each station, the maximum number of tickets which are allowed to be replenished in the last station in the current station is calculated in real time, the maximum number of tickets which are allowed to be replenished in the next station after the current station is calculated in real time is calculated, the maximum number of tickets which are allowed to be replenished in all stations between the next station and the last station after the current station is calculated in real time, and the expressions of the maximum number of tickets which are allowed to be replenished form an integral model which must be satisfied at the same time and is updated dynamically, and the integral model belongs to a dynamic model; the termination condition is that the current station is the end station of the train. The train passenger ticket supplementing dispatching control system is simple in concept, convenient to implement and beneficial to effective train passenger ticket supplementing dispatching control in the rush hour.
Description
Technical Field
The invention relates to the technical field of scheduling methods, in particular to a train passenger ticket supplementing scheduling method based on overload limitation of dynamic reverse calculation.
Background
Trains (particularly high-speed railways) have become one of the most important transportation means for people to travel. Currently, people holding train tickets (or high-speed railway tickets) which are predetermined in advance cannot board the corresponding trains in the shift because the trains (or high-speed railways) are overloaded, and the trip plan is seriously influenced. The reason that people having train tickets (or high-speed railway tickets) which are predetermined in advance can not board the corresponding trains of the shifts is various due to overloading of the trains (or the high-speed railways), wherein the main reason is that passengers can not buy the tickets of the destination, only short-distance tickets can be bought, then the tickets are loaded and supplemented, the situation that the short-distance tickets are bought and the long-distance tickets are changed into the situation that the long-distance tickets are supplemented, passengers on the trains (or the high-speed railways) are subjected to accumulative explosion, and finally overload is formed, so that people having the train tickets (or the high-speed railway tickets) which are predetermined in advance can not board the corresponding trains of the shifts due to overloading of the trains (or the high-speed railways). This is a new topic faced by train passenger ticketing with overload restrictions.
At present, the train passenger with overload limitation has no scheduling method for supplementing tickets, so that the condition that the overload of a train (or a high-speed rail) cannot meet the condition that people with the train tickets (or the high-speed rail tickets) predetermined in advance board the corresponding train of a shift is met, and only full or compensatory returning tickets can be adopted and regress is given; and there is an authority impact on train tickets (or high-speed rail tickets).
Disclosure of Invention
In order to overcome the defect that the existing train passenger compensation ticket with overload limitation has no scheduling method, so that the condition that the train (or high-speed railway) overload cannot meet the condition that people with train tickets (or high-speed railway tickets) which are predetermined in advance board the corresponding train of a shift is overcome, only full or compensation return tickets can be adopted, and regress is performed; the invention provides a train passenger ticket compensation scheduling method based on overload limitation of dynamic reverse calculation based on the passenger number calculated by the dynamic reverse calculation.
The technical solution adopted by the invention to specifically solve the technical problem is as follows:
the train passenger ticket supplementing scheduling method based on the overload limitation of the dynamic reverse calculation comprises the steps of accumulating the specific number and classification of passengers at each station in real time, extracting and accumulating the number of tickets sold in advance at each station, calculating the constraint condition of the maximum number of tickets to be supplemented at the last station allowed by the current station in real time, calculating the constraint condition of the maximum number of tickets to be supplemented at the next station allowed by the current station in real time, dynamically calculating the reverse direction, judging the scheduling termination condition, the total number of stations stopping along the way of the train and the maximum carrying capacity of passengers of the train. The dynamic reverse calculation overall requirement is that the number of the pre-sold tickets of each station is extracted and accumulated according to the real-time accumulation of the number and classification of specific passengers of each station, and the maximum number of the allowed tickets for the last station at the current station is calculated from the real-time calculation of the maximum number of the allowed tickets for the last station at the current station to the real-time calculation of the maximum number of the allowed tickets for the next station at the current station, and the maximum number of the allowed tickets for all stations between the next station behind the current station and the last station is dynamically calculated in turn. The specific scheduling steps are as follows:
step 1, accumulating the number and classification of specific passengers at each station in real time: calculate Bi,j，Bi,jRepresenting the real-time specific passenger result when the j station gets off the train to the i station, and n represents the total number of the stop stations along the way of the train, wherein j is more than or equal to 1 and less than or equal to j<i is less than or equal to n, and i, j and n all belong to natural numbers;
step 2, extracting and accumulating the number of tickets sold in advance at each station: calculate Ci,j，Ci,jRepresenting the result of pre-selling the real-time specific passengers getting off from the ith station at the jth station, and n represents the total number of the stations along the way of the train, wherein j is more than or equal to 1 and less than or equal to j<i is less than or equal to n, and i, j and n all belong to natural numbers;
step 3, calculating the constraint condition of the maximum number of the ticket compensation allowed by each station after the current station in real time: the calculation model is as follows
Here, the current station is denoted as the jth station; t represents the maximum load capacity of train passengers, is the number of overload limits of the train, and belongs to a natural number; qn,jA constraint condition representing the maximum number of n supplementary tickets of the last station allowed by the jth station of the current station; qn-1,jA constraint condition of maximum number of supplementary tickets of a previous station for allowing a last station n at the jth station of the current station; qn-2,jRepresenting the constraint condition of the maximum number of the supplementary tickets of the first two stations of the jth station of the current station for allowing the last station n; qj+1,jA constraint condition representing the maximum allowable number of ticket compensation of a j +1 th station of a station next to the j th station of the current station; three solid dots "…" represent a computational expression with the constraint of omitting the maximum number of allowable supplementary tickets at the stations from the (n-3) th station to the (j + 2) th station in the middle; a and b denote the a-th and b-th stations, respectivelyA and b belong to natural numbers;
and 4, dynamic reverse calculation: the constraint condition of the maximum number of the ticket compensation of each station in the step 3 is an expression of the constraint condition of the maximum number of the allowable ticket compensation of the j +1 th station which is sequentially and reversely calculated from the last station to the next station of the j th station of the current station, and the maximum number of the allowable ticket compensation of the n-j stations; the expression of the constraint condition of the maximum number of allowable ticket replenishment of the n-j station requires that the expression of the constraint condition of the maximum number of allowable ticket replenishment of the n-j station forms an integral model and must be satisfied at the same time, and on the other hand, the accumulated number and classification of the specific passengers of each station are dynamically updated, the number and classification of the specific passengers of each station are reflected in real time, and the expression model reflecting the constraint condition of the maximum number of allowable ticket replenishment of the n-j station belongs to a dynamic model;
step 5, scheduling termination condition judgment: the current station is a terminal station of the train; if the matching j of the jth station of the current station is not more than n-1 and does not meet the specified scheduling termination condition of the whole real-time scheduling task, skipping to the step 1 according to dynamic reverse calculation; and if not, the scheduling termination condition of the whole real-time scheduling task is met when the current station is in the jth station, and the train passenger ticket supplementing scheduling method based on the overload limit calculated in the dynamic reverse direction is terminated.
The train passenger ticket supplementing scheduling method based on the overload limit of the dynamic reverse calculation has the advantages that the problem that the current train passenger ticket supplementing scheduling method with the overload limit cannot meet the requirement that people with train tickets (or high-speed railway tickets) which are preset in advance board a corresponding train in a shift due to the overload of the train (or the high-speed railway) is solved by adopting the train passenger ticket supplementing scheduling method based on the overload limit of the dynamic reverse calculation and calculating the number of passengers in the dynamic reverse calculation, and only full or compensatory refunds can be adopted and regressed; and the authority of the train ticket (or the high-speed rail ticket) is influenced. The train passenger ticket supplementing scheduling method is simple in concept, convenient to implement and high in robustness, and meets the practical requirements of effectively supplementing tickets and scheduling train passengers in the rush hour of the train (or high-speed rail) passengers.
Drawings
Fig. 1 is a flow chart of a train passenger ticket replenishment scheduling method based on overload limitation of dynamic reverse calculation.
Detailed Description
The invention is further described with reference to the following figures and examples:
the invention provides a train passenger ticket supplementing scheduling method based on overload limitation of dynamic reverse calculation, which comprises the steps of accumulating the specific number and classification of passengers at each station in real time, extracting and accumulating the number of tickets sold in advance at each station, calculating the constraint condition of the maximum number of tickets to be supplemented at the last station allowed by the current station in real time, calculating the constraint condition of the maximum number of tickets to be supplemented at the next station allowed by the current station in real time, dynamically calculating the reverse direction, judging the scheduling termination condition, judging the total number of stations stopped along the way of a train and the maximum carrying capacity of passengers of the train. Wherein six dots "… …" in the drawing indicate the maximum number of permissible restocking constraints for all stations not listed between the last station of the current station and the next station after the current station; the dynamic reverse calculation overall requirement is that the number of the pre-sold tickets of each station is extracted and accumulated according to the real-time accumulation of the number and classification of specific passengers of each station, and the maximum number of the allowed tickets for the last station at the current station is calculated from the real-time calculation of the maximum number of the allowed tickets for the last station at the current station to the real-time calculation of the maximum number of the allowed tickets for the next station at the current station, and the maximum number of the allowed tickets for all stations between the next station behind the current station and the last station is dynamically calculated in turn. The specific scheduling steps are as follows:
step 1, accumulating the number and classification of specific passengers at each station in real time: calculate Bi,j，Bi,jRepresenting the real-time specific passenger result when the j station gets off the train to the i station, and n represents the total number of the stop stations along the way of the train, wherein j is more than or equal to 1 and less than or equal to j<i is less than or equal to n, and i, j and n all belong to natural numbers;
step 2, extracting and accumulating the number of tickets sold in advance at each station: calculate Ci,j，Ci,jRepresenting the result of pre-selling the real-time specific passengers getting off from the ith station at the jth station, and n represents the total number of the stations along the way of the train, wherein j is more than or equal to 1 and less than or equal to j<i is less than or equal to n, and i, j and n all belong to natural numbers;
step 3, calculating the constraint condition of the maximum number of the ticket compensation allowed by each station after the current station in real time: the calculation model is as follows
Here, the current station is denoted as the jth station; t represents the maximum load capacity of train passengers, is the number of overload limits of the train, and belongs to a natural number; qn,jA constraint condition representing the maximum number of n supplementary tickets of the last station allowed by the jth station of the current station; qn-1,jA constraint condition of maximum number of supplementary tickets of a previous station for allowing a last station n at the jth station of the current station; qn-2,jRepresenting the constraint condition of the maximum number of the supplementary tickets of the first two stations of the jth station of the current station for allowing the last station n; qj+1,jA constraint condition representing the maximum allowable number of ticket compensation of a j +1 th station of a station next to the j th station of the current station; three solid dots "…" represent a computational expression with the constraint of omitting the maximum number of allowable supplementary tickets at the stations from the (n-3) th station to the (j + 2) th station in the middle; a and b represent the a-th station and the b-th station, respectively, and a and b belong to natural numbers;
and 4, dynamic reverse calculation: the constraint condition of the maximum number of the ticket compensation of each station in the step 3 is an expression of the constraint condition of the maximum number of the allowable ticket compensation of the j +1 th station which is sequentially and reversely calculated from the last station to the next station of the j th station of the current station, and the maximum number of the allowable ticket compensation of the n-j stations; the expression of the constraint condition of the maximum number of allowable ticket replenishment of the n-j stations requires that the expression of the constraint condition of the maximum number of allowable ticket replenishment of the n-j stations forms an integral model and must be met simultaneously, on the other hand, the accumulated number and classification of specific passengers of each station are dynamically updated to reflect the number and classification of the specific passengers of each station in real time, and the expression model of the constraint condition of the maximum number of allowable ticket replenishment of the n-j stations belongs to a dynamic model;
step 5, scheduling termination condition judgment: the current station is a terminal station of the train; if the matching j of the jth station of the current station is not more than n-1 and does not meet the specified scheduling termination condition of the whole real-time scheduling task, skipping to the step 1 according to dynamic reverse calculation; and if not, the scheduling termination condition of the whole real-time scheduling task is met when the current station is in the jth station, and the train passenger ticket supplementing scheduling method based on the overload limit calculated in the dynamic reverse direction is terminated.
Claims (2)
1. The train passenger ticket supplementing dispatching method based on overload limitation of dynamic reverse calculation comprises the steps of accumulating the number and classification of specific passengers at each station in real time, extracting and accumulating the number of tickets which are sold in advance at each station, calculating the constraint condition of the maximum number of tickets which are allowed to be supplemented at the last station at the current station in real time, calculating the constraint condition of the maximum number of tickets which are allowed to be supplemented at the next station at the current station in real time, dynamically reverse calculating, judging the dispatching termination condition, the total number of stations which stop along the way of the train and the maximum load of the passengers of the train, and is characterized in that the total requirement of the dynamic reverse calculation is that the number of the tickets which are sold in advance at each station is extracted and accumulated according to the number and classification of the specific passengers which are accumulated at each station in real time, starting from the calculation of the maximum number of the tickets which are allowed to be supplemented at the last station at the current station in real time, and finally calculating the maximum number of the tickets which are allowed to be supplemented at the next station behind the current station and the last station in turn dynamically, the specific scheduling steps are as follows:
step 1, accumulating the number and classification of specific passengers at each station in real time: calculate Bi,j，Bi,jRepresenting the real-time specific passenger result when the j station gets off the train to the i station, wherein n represents the total number of the stop stations along the way of the train, and j is more than or equal to 1<i is less than or equal to n, and i, j and n all belong to natural numbers;
step 2, extracting and accumulating the number of tickets sold in advance at each station: calculate Ci,j，Ci,jRepresenting the result of pre-selling the real-time specific passengers getting off from the ith station at the jth station, wherein n represents the total number of the stop stations along the way of the train, and j is more than or equal to 1 and less than or equal to j<i is less than or equal to n, and i, j and n all belong to natural numbers;
step 3, calculating the constraint condition of the maximum number of the ticket compensation allowed by each station after the current station in real time: the calculation model is as follows
Marking the current station as the jth station; t represents the maximum load capacity of train passengers, is the number of overload limits of the train, and belongs to a natural number; qn,jA constraint condition representing the maximum number of n supplementary tickets of the last station allowed by the jth station of the current station; qn-1,jA constraint condition of maximum number of supplementary tickets of a previous station for allowing a last station n at the jth station of the current station; qn-2,jRepresenting the constraint condition of the maximum number of the supplementary tickets of the first two stations of the jth station of the current station for allowing the last station n; qj+1,jA constraint condition representing the maximum allowable number of ticket compensation of a j +1 th station of a station next to the j th station of the current station; three solid dots "…" represent a computational expression with the constraint of omitting the maximum number of allowable supplementary tickets at the stations from the (n-3) th station to the (j + 2) th station in the middle; a and b represent the a-th station and the b-th station, respectively, and a and b belong to natural numbers;
and 4, dynamic reverse calculation: the constraint condition of the maximum number of the ticket compensation of each station in the step 3 is an expression of the constraint condition of the maximum number of the allowable ticket compensation of the j +1 th station which is sequentially and reversely calculated from the last station to the next station of the j th station of the current station, and the maximum number of the allowable ticket compensation of the n-j stations;
step 5, scheduling termination condition judgment: the current station is a terminal station of the train; if the matching j of the jth station of the current station is not more than n-1 and does not meet the specified scheduling termination condition of the whole real-time scheduling task, skipping to the step 1 according to dynamic reverse calculation; and if not, the scheduling termination condition of the whole real-time scheduling task is met when the current station is in the jth station, and the train passenger ticket supplementing scheduling method based on the overload limit calculated in the dynamic reverse direction is terminated.
2. The train passenger ticket replenishment scheduling method based on the overload limitation of the dynamic reverse calculation as recited in claim 1, wherein the expression of the constraint condition of the maximum number of allowable ticket replenishment at the n-j stations requires that the expression of the constraint condition of the maximum number of allowable ticket replenishment at the n-j stations form an integral model and must be satisfied simultaneously, and on the other hand, the accumulated specific passenger number and classification at each station are dynamically updated to reflect the specific passenger number and classification at each station in real time, and the expression model of the constraint condition of the maximum number of allowable ticket replenishment at the n-j stations belongs to the dynamic model.
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