| | Notation | Description | Type |
| | I | Alternative set, , represents A1, represents A2, represents H | Set, parameter | | J | Submarket set, | Set, parameter | | K | ODIF set, , belongs to A1, belongs to A2, belongs to H | Set, parameter | | T | Selling horizon | Scalar, parameter | | Fare of alternative i in submarket j | Scalar, parameter | | Total travelling time of alternative i in submarket j | Scalar, parameter | | Elasticities of fare in submarket j | Scalar, parameter | | Elasticities of time in submarket j | Scalar, parameter | | Overall evaluation or satisfaction to alternative i | Scalar, parameter | | D | Total demand of the transportation network | Scalar, parameter | | Share of submarket j | Scalar, variable | | Probability that one customer arrives in submarket j in time period t | Scalar, variable | | Total expectation of customer arrives in submarket j in time period t | Scalar, variable | | Predicted aggregate demand of ODIF k from time period t to T | Scalar, variable | | Customer’s actual arrival time in submarket j | Scalar, variable | | Actual arrival time set | Set, variable | | Valid actual arrival time set | Set, variable | | Set of arrival occurred in time period t | Set, variable | | Actual arrival of ODIF k in time period t | Scalar, variable | | Amount of actual arrival in submarket j | Scalar, variable | | Minimum allocation percentage of HSR | Scalar, parameter | | Resource occupation matrix | Matrix, constant | | Resource capacity vector in time period t | Vector, variable | | Value function when remaining capacity is in time period t | Scalar, objective function | | Partitioned allocation of each product in time period t | Vector, decision variable | | Displacement cost when remaining capacity is in time period t | Vector, variable | | Bid price of product k in time period t | Scalar, variable | | Indicator of whether the nth booking request for product k is accepted or refused in time period t | 0–1 variable | | Total number of accepted booking requests for product k in time period t | Scalar, variable | | Total number of refused booking requests for product k in time period t | Scalar, variable | | Transfer-out matrix | Matrix, constant | | Transfer-in matrix in time period t | Matrix, variable | | The number of available transfer destination matrix in time period t | Matrix, variable | | Transfer destination (to which alternative) matrix in time period t | Matrix, variable |
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