{ "objective_value": " Weighted combination of total line cost and total passenger travel time achieved by the solution.", "active_lines": [ { "line_index": " Identifier of this line within the enumerated set of candidate lines.", "mode": " Transportation mode operating this line.", "nodes": " Ordered sequence of station identifiers visited by this line from one terminal to the other.", "edges": " Ordered sequence of edge identifiers traversed by this line.", "frequency": " Number of vehicle runs per planning period operated on this line." } ], "active_passenger_paths": [ { "origin": " Origin station identifier of the OD pair carried by this path.", "destination": " Destination station identifier of the OD pair carried by this path.", "arcs": " Ordered sequence of directed arc identifiers traversed by this path from origin to destination.", "flow": " Number of passengers routed along this path. The released certificate requires a non-empty complete path-flow witness so demand, capacity, and passenger travel cost can all be checked exactly." } ] }