Delay Indices for Train Punctuality

Indicators of expected quality service in public contracts are often based on some kind “punctuality”, usually defined terms the percentage trains arriving at final destination (and/or intermediate significant stops) within a given delay. Passengers, however, tend to use word “punctuality” with more general meaning, mostly as synonym for delay their own destination, and especially case commuters much less tolerant even smaller delays than train operators would normally allow. In particular, measuring only is perceived largely inadequate, leading underestimation actual late trains, turn undermining passengers’ trust official performance statistics. this paper, we take perspective, introducing family indices called D-indices aimed capturing overall “as whole”, taking into account both sampling points mutual location order such points. all indicators have physical dimension time be easily replaceable other measures. We first present typical approaches definitions punctuality literature, then introduce while exploring features, pros cons, relevant properties. validate discuss our approach by comparing model existing theoretically comparison selected datasets consisting about one hundred transcribed over last three years.