Skip to main content
Log in

Effective Heuristics for the GPS Survey Network of Malta: Simulated Annealing and Tabu Search Techniques

  • Published:
Journal of Heuristics Aims and scope Submit manuscript

Abstract

A GPS network can be defined as a set of stations, co-ordinated by a series of sessions formed by placing receivers on the stations. This paper shows how to search for the best order in which to observe these sessions giving the cheapest schedule. The complexity of observing GPS networks increases with their size and become highly difficult to solve effectively. To obtain good methods to solve this problem a new area of research is implemented. This area is based on developed heuristic techniques that provide an optimal or near optimal solution for large networks. Comparing their outcome in terms of solution quality and computational effort proves the performance of the developed techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aarts, E. and P. Van Laarhoven. (1985). “Statistical Cooling: A General Approach to Combinatorial Optimization Problems.” Philips Journal of Research40, 193–226.

    Google Scholar 

  • Cerny, V. (1985). “A Thermodynamical Approach to the Travelling Salesman Problem: An Efficient Simulated Annealing Algorithm.” Journal of Optimization Theory and Applications45, 41–51.

    Google Scholar 

  • Dammeyer, F. and S. Voss. (1993). “Dynamic Tabu List Management Using the Reverse Elimination Method.” Annals of Operations Research41, 31–46.

    Google Scholar 

  • Dare, P.J. (1994). “Project Malta '93: The Establishment of a New Primary Network for the Republic of Malta by Use of the Global Positioning System.” Report for Mapping Unit, Planning Directorate, Floriana, Malta.

  • Dare, P.J. (1995). “Optimal Design of GPS Networks: Operational Procedures.” Ph.D. Thesis, School of Surveying, University of East London, UK.

    Google Scholar 

  • Dare, P. and H. Saleh. (1998). “The Use of Heuristics in the Design of GPS Networks.” In F. Brunner (ed.), Advances in Positioning and Reference Frames, Proceedings of the Scientific Assembly of the International Association of Geodesy, Rio de Janeiro, Brazil, September 8, 1997.New York: Springer Verlag, pp. 120–124.

    Google Scholar 

  • De Werra, D. and A. Hertz. (1989). TS Techniques: A Tutorial and an Application to Neural Networks, OR Spektrum, Vol. 11. Berlin: Springer-Verlag, pp.131–141.

    Google Scholar 

  • Dowsland, K. (1995). “Variants of Simulated Annealing for Practical Problem Solving.” In V. Rayward-Smith (ed.), Applications of Modern Heuristic Methods. Henley-on-Thames: Alfred Waller Ltd., in association with UNICOM.

    Google Scholar 

  • Elliott, D. (1996). Understanding GPS: Principles & Applications. Boston; Artech House.

    Google Scholar 

  • Glover, F. (1989). “Tabu Search Part I.” ORAS J. Comput.1(3), 190–206.

    Google Scholar 

  • Glover, F. (1990). “Tabu Search Part II.” ORAS J. Comput.2(1),4–32.

    Google Scholar 

  • Glover, F. (1995). “Tabu Search Fundamentals and Uses.” Technical Report, Graduate School of Business, University of Colorado, Boulder.

    Google Scholar 

  • Glover, F. and M. Laguna. (1997). Tabu Search. Norwell, MA: Kluwer Academic Publishers.

    Google Scholar 

  • Glover, F., E. Taillard, and D. de Werra. (1993). “A Users Guide to Tabu Search.” Annals of Operations Research 41,3–28.

    Google Scholar 

  • Hertz, A. and D. De Werra. (1990). “The Tabu Search Meta-heuristic: How We Used It.” Annals of Mathematics and Artificial Intelligence1,111–121.

    Google Scholar 

  • Kelly, J., B. Golden, and A. Assad. (1993). “Large-Scale Controlled Rounding using TS with Strategic Oscillation.” Annals of OR 41,69–84.

    Google Scholar 

  • Kirkpatrick, S., C.D. Gelatt, and P.M. Vecchi. (1983). “Optimization by Simulated Annealing.” Science220, 671–680.

    Google Scholar 

  • Leick, A. (1995).GPS Satellite Surveying,2nd ed.Chichester. England: Wiley.

    Google Scholar 

  • Lin, S. (1965). “Computer Solutions of the Travelling Salesman Problem.” Bell System Technical Journal44, 2245–2269.

    Google Scholar 

  • Osman, I.H. (1993). “Metastrategy Simulated Annealing and Tabu Search Algorithm for the Vehicle Routing Problem.” Annals of OR41, 421–451.

    Google Scholar 

  • Osman, I.H. and C.N. Potts. (1989). “Simulated Annealing for Permutation Flow-Shop Scheduling.” Omega 17, 551–557.

    Google Scholar 

  • Reeves, C.R. (ed.). (1993). Modern Heuristic Techniques for Combinatorial Problems. Oxford, England: Blackwell Scientific Publications.

    Google Scholar 

  • Rene, V.V. Vidal. (1993). Applied Simulated Annealing. Berlin: Springer-Verlag.

    Google Scholar 

  • Saleh, H.A. (1996). “Improvements to The GPSdemoUCL Simulation Software.” MSc. Dissertation in Surveying, Department of Geomatic Engineering, University College London, London, UK.

    Google Scholar 

  • Saleh, H.A. and P.J. Dare. (1997a). “A Heuristic Approach to the Design of GPS Networks.” Paper presented at Untied Kingdom Geophysical Assembly-21, University of Southampton, UK, 2–4 April 1997.

  • Saleh, H.A. and P.J. Dare. (1997b). “The Design of GPS Networks using the Heuristic Techniques.” Paper presented at Young Researchers Forum in Operational Research and Management Science, University of Southampton, UK, and 17–18 April 1997.

  • Saleh, H.A. and P.J. Dare. (1997c). “A Simulated Annealing Approach for Designing a GPS surveying Network.” Paper presented at 2nd Meta-Heuristic International Conference (MIC'97), Sophia-Antipolis, France, 21–24 July 1997.

  • Saleh, H.A. and P.J. Dare. (1998a). “Efficient Simulated Annealing Heuristic Techniques for Designing GPS Surveying Networks.” Paper presented at Young OR10 Conference, University of Surrey, Guildford, UK, 31 March to 2 April 1998.

  • Saleh, H.A. and P.J. Dare. (1998b). “GPS Network Design An Application of The Simulated Annealing Heuristic Technique.” Paper presented at International Conference on Combinatorial and Global Optimization, Chania, Crete, Greece, 25–29, May 1998.

  • Saleh, H.A. and P.J. Dare. (1998c). “Heuristic Techniques for GPS Surveying.” Paper presented at UEL Postgraduate Conference, University of East London, Startford, UK, 5 June 1998.

  • Saleh, H.A. and P.J. Dare. (1998d). “A Tabu Search Approach for Designing a GPS Surveying Network for the Republic of Malta.” Paper presented at 16th European Conference on Operational Research, Brussels, Belguim, 12–15 July 1998.

  • Taillard, E. (1994). “Parallel Taboo Search Techniques for the Job Shop Scheduling Problem.” ORSA, Journal on Computing6, 108–117.

    Google Scholar 

  • Teunissen, P. and A. Kleusberg. (1998). GPS for Geodesy,2nd ed.Berlin: Springer-Verlag.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saleh, H.A., Dare, P. Effective Heuristics for the GPS Survey Network of Malta: Simulated Annealing and Tabu Search Techniques. Journal of Heuristics 7, 533–549 (2001). https://doi.org/10.1023/A:1011968924413

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1011968924413

Navigation