A Time-Dependent ATSP With Time Window and Precedence Constraints in Air Travel

Authors

  • Thanaboon Saradatta Faculty of Engineering, Thai-Nichi Institute of Technology, Bangkok, Thailand.
  • Pisut Pongchairerks Faculty of Engineering, Thai-Nichi Institute of Technology, Bangkok, Thailand.

Keywords:

Travelling Salesman Problem, TSP, Asymmetric Travelling Salesman Problem, ATSP, Local Search Algorithm, Air Transportation, Time Window, TimeDependent, Precedence Constraint,

Abstract

This paper considers a time-dependent asymmetric travelling salesman problem with time window and precedence constraints, based on the real application of air transport. This problem is much more complicated than the classical asymmetric travelling salesman problem due to the properties of the airfare prices, the time window constraints and the precedence constraints. To solve this problem, this paper proposes a modified nearest neighbor algorithm and two local search algorithms.

References

Marcken, C. D. 2003. Computational Complexity of Air Travel Planning. Public Notes on Computational Complexity. Retrieved October, 22, 2015 from http://www.demarcken.org/carl/papers/

Robinson, S. 2002. Computer Scientists Find Unexpected Depths in Airfare Search Problem. SIAM NEWS. 35(6). Retrieved November, 14, 2015 from http://www.msri.org/people/members/sara/articles/airfares.pdf.

OpenFlights. 2015. The Air-Traveling Salesman. Retrieved October, 22, 2015 from https://sites.google.com/site/ travellingcudasalesman/

Touyz, J. 2013. The Travelling Tourist Problem: A Mixed Heuristic Approach. Retrieved October, 22, 2015 from http://issuu.com/jgetouyz/docs

Ascheuer, N., Jünger, M., and Reinelt, G. 2000. A Branch & Cut Algorithm for the Asymmetric Traveling Salesman Problem with Precedence Constraints. Computational Optimization and Application. 17(1): 61–84.

Picard, J.-C. and Queyranne, M. 1978. The Time-Dependent Traveling Salesman Problem and Its Application to the Tardiness Problem in One-Machine Scheduling. Operations Research. 26(1): 86–101.

Applegate, D. L., Bixby, R. E., Chvátal, V., and Cook, W. J. 2007. The Traveling Salesman Problem: A Computational Study. New Jersey: Princeton University Press.

Lawler, E. L., Lenstra, J. K., Rinnooy Kan, A. H. G., and Shmoys, D. B. 1995. The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization. New York: John Wiley & Sones.

Gutin, G. and Punnen, A. P. 2002. The Traveling Salesman Problem and Its Variations. US: Springer.

Cook, W. J. 2012. In Pursuit of the Traveling Salesman. New Jersey: Princeton University Press.

Solomon, M. M. and Desrosiers, J. 1988. Time Window Constrained Routing and Scheduling Problem. Transportation Science. 22(1): 1-13.

Kizilateş, G. and Nuriyeva, F. 2013. On the Nearest Neighbor Algorithms for the Traveling Salesman Problem. Advances in Computational Science, Engineering and Information Technology. 225: 111-118.

Hernández-Pérez, H. and Salazar-González, J. J. 2004. A Branch-andCut Algorithm for a Traveling Salesman Problem with Pickup and Deliver. Discrete Applied Mathematics. 145(1): 126-139.

Voudouris, C. and Tsang, E. 1999. Guided Local Search and Its Application to the Traveling Salesman Problem. European Journal of Operational Research. 113(2): 469-499.

Misevičius, A., Ostreika, A., Šimaitis, A., and Žilevičius, V. 2007. Improving Local Search for the Traveling Salesman Problem. Information Technology and Control. 36(2): 187-195.

Piriyaniti, I. and Pongchairerks, P. 2013. Variable Neighbourhood Search Algorithms for Asymmetric Travelling Salesman Problems. International Journal of Operational Research. 18(2): 157-170.

Saradatta, T. and Pongchairerks, P. 2015. Instances for TimeDependent ATSP with Time Window and Precedence Constraints in Air Travel. Retrieved November, 20, 2015 from https://drive.google.com/folderviewid=0B2XqS3TSsvP7UFFEa1E0

UlpWbHc&usp=sharing

Ray, S.S. and Bandyopadhyay, S. 2007. Genetic Operators for Combinatorial Optimization in TSP and Microarray Gene Ordering’, Applied Intelligence. 26(3): 183-195.

Guo, P. and Wenming, C. 2014. A General Variable Neighborhood Search for Single-Machine Total Tardiness Scheduling Problem with Step-Deteriorating Jobs. Journal of Industrial and Management Optimization. 10(4): 1071-1090.

Smitch, A. E. and Coit, D. W. 1997. Constraint-Handling Techniques -Penalty Functions. In Baeck, T., Fogel, D. and Michalewicz, Z. (Eds) Handbook of Evolutionary Computation (C 5.2). Bristol: Oxford University Pres.

Downloads

Published

2017-06-01

How to Cite

Saradatta, T., & Pongchairerks, P. (2017). A Time-Dependent ATSP With Time Window and Precedence Constraints in Air Travel. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 9(2-3), 149–153. Retrieved from https://jtec.utem.edu.my/jtec/article/view/2345