Abstract
In this paper we study a specific variant of the well known Fixed Job Scheduling Problem, namely the Tactical Fixed Job Scheduling Problem with Spread-Time constraints. In this problem it is required to schedule a number of jobs on non identical machines that differ each other for the set of jobs they can perform and that have constraints on the length of their duty. We present some lower bounds for the optimal value of the problem and introduce the first heuristic algorithm for solving it. We also study a specific case of interest connected with the assistance of passengers with special needs in large scale airports.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ford, L.R., Fulkerson, D.R.: Flows in Networks. Princeton University Press, Princeton, New Jersey (1962)
Gertsbakh, I., Stern, H.I.: Minimal resources for fixed and variable job schedules. Oper. Res. 26(1), 68–85 (1978)
Gupta, U.I., Lee, D.T., Leung, J.Y.-T.: An optimal solution for the channel-assignment problem. In: IEEE Transactions on Computers C, pp. 807–810. IEEE (1979)
Fischetti, M., Martello, S., Toth, P.: The fixed job schedule problem with spread-time constraints. Oper. Res. 35(6), 849–858 (1987)
Fischetti, M., Martello, S., Toth, P.: The fixed job schedule problem with working-time constraints. Oper. Res. 37(3), 395–403 (1989)
Fischetti, M., Martello, S., Toth, P.: Approximation algorithms for fixed job schedule problems. Oper. Res. 40(1(Suppl. 1)), S96–S108 (1992)
Kolen, A., Kroon, L.: License class design: complexity and algorithms. Eur. J. Oper. Res. 63(3), 432–444 (1992)
Kroon, L., Salomon, M., Van Wassenhove, L.: Exact and approximation algorithms for the tactical fixed interval scheduling problem. Oper. Res. 45(4), 624–638 (1997)
Zhou, S., Zhang, X., Chen, B., van de Velde, S.: Tactical fixed job scheduling with spread-time constraints. Comput. Oper. Res. 47, 53–60 (2014)
Kovalyov, M.Y., Ng, C.T., Chen, T.C.E.: Fixed interval scheduling: models, applications, computational complexity and algorithms. Eur. J. Oper. Res. 178(2), 331–342 (1992)
Kolen, A., Lenstra, J., Papadimitriou, C., Spieksma, F.: Interval scheduling: a survey. Nav. Res. Logist. (NRL) 54(5), 530–543 (1992)
Keil, M.: On the complexity of scheduling tasks with discrete starting times. Oper. Res. Lett. 12(5), 293–295 (1992)
Huang, Q., Lloyd, E.: Cost Constrained Fixed Job Scheduling. In: 8th Italian Conference on Theoretical Computer Science, pp. 111–124 (2013)
Williamson, D.P., Shmoys, D.B.: The Design of Approximation Algorithms. Cambridge University Press, New York (2011)
Scholl, A.: Balancing and Sequencing of Assembly Lines. Springer, Heidelberg (1999)
Martello, S., Toth, P.: A heuristic approach to the bus driver scheduling problem. Eur. J. Oper. Res. 24(1), 106–117 (1986)
De Leone, R., Festa, P., Marchitto, E.: A Bus Driver Scheduling Problem: a new mathematical model and a GRASP approximate solution. J. Heuristics 17(4), 441–466 (2011)
Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman and Company, New York (1979)
Cabrera, G.G., Rubio, J. M. L.: Hybrid algorithm of tabu search and integer programming for the railway crew scheduling problem. In: 2th Asia-Pacific Conference on Computational Intelligence and Industrial Applications, pp. 413–416 (2009)
Wren, A., Rousseau, J.M.: Bus Driver Scheduling - An Overview. School of Computer Studies Research Report Series, University of Leeds, vol. 93(31), pp. 1–14 (1993)
Portugal, R., Lourenco, H.R., Paixao, J.P.: Driver scheduling problem modelling. Public Transp. 1(2), 103–120 (2008)
Rodrigues, M.M., de Souza, C.C., Moura, A.V.: Vehicle and crew scheduling for urban bus lines. Eur. J. Oper. Res. 170(3), 844–862 (2006)
Mastelic, T., Fdhila, W., Brandic, I., Rinderle-Ma, S.: Predicting resource allocation and costs for business processes in the cloud. In: 11th World Congress on Services, pp. 47–54 (2015)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Mele, M., Festa, P. (2018). Scheduling Assistance for Passengers with Special Needs in Large Scale Airports. In: Cerulli, R., Raiconi, A., Voß, S. (eds) Computational Logistics. ICCL 2018. Lecture Notes in Computer Science(), vol 11184. Springer, Cham. https://doi.org/10.1007/978-3-030-00898-7_26
Download citation
DOI: https://doi.org/10.1007/978-3-030-00898-7_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00897-0
Online ISBN: 978-3-030-00898-7
eBook Packages: Computer ScienceComputer Science (R0)