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On The Problem of Constructing Routes, Part I: Preface

References 1. Bartlett, T.E. (1957) An algorithm for the minimum number of transport units to maintain a fixed schedule. Naval Research Logistics Quarterly, 4(2), 139-149. 2. Ceder, A. (2016) Public Transit Planning and Operation: Modelling, Practice and Behaviour, second ed. CRC Press, Boca Raton, USA. 3. Ceder, A., and Stern, H.I. (1981) Deficit function bus scheduling with deadheading trip insertions for fleet size reduction. Transportation Science, 15(4), 338-363. 4. Gertsbach (Gertsbakh), I

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Using Deficit Functions for Crew Planning in Aviation

References 1. Ceder, A. and Stern, H. (1981) Deficit function bus scheduling with deadheading trip insertions for fleet size reduction. Transportation Science, 15(4), 338-363. 2. Ceder, A. and Stern, H. (1985) The variable trip procedure used in the AUTOBUS vehicle scheduler. In: Rousseau, J.-M. (Ed.), Computer Scheduling of Public Transport 2. Elsevier Science, Publisher B.V., North-Holland, 371-390. 3. Day, P. R. and Ryan, D. M. (1997) Flight attendant rostering for short-haul operations. Operations Research

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On the Problem of Constructing Routes, Part II: Methodology and Numerical Example

Abstract

We consider a periodic aviation schedule which is a finite collection of flights with given arrival/departure times. For this schedule, we solve the problem of finding the minimal number of aircrafts needed to carry out the flights. The crucial role in solving this problem is played by so-called deficit function (DFs) defined as the difference between departures and arrivals on interval [0,t] for each terminal.

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