Abstract
Ant Colony Optimization (ACO) has been used successfully to solve hard combinatorial optimization problems. This metaheuristics method is inspired by the foraging behavior of ant colonies, which manage to establish the shortest routes between their colonies to feeding sources and back. In this paper, ACO algorithms are developed to provide near-optimal solutions for Global Positioning System surveying problem (GSP). In designing Global Positioning System (GPS) surveying network, a given set of earth points must be observed consecutively (schedule). The cost of the schedule is the sum of the time needed to go from one point to another. The problem is to search for the best order in which this observation is executed, minimizing the cost of the schedule. We apply InterCriteria Analysis (ICrA) on the achieved results. Based on ICrA we examine some relations between considered GSPs and ACO algorithm performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Angelova, M., Roeva, O., Pencheva, T.: InterCriteria Analysis of crossover and mutation rates relations in simple genetic algorithm. Ann. Comput. Sci. Inf. Syst. 5, 419–424 (2015)
Atanassov, K., Mavrov, D., Atanassova, V.: Intercriteria decision making: a new approach for multicriteria decision making, based on index matrices and intuitionistic fuzzy sets. Issues IFSs GNs 11, 1–8 (2014)
Atanassov, K., Szmidt, E., Kacprzyk, J.: On intuitionistic fuzzy pairs. Notes Intuitionistic Fuzzy Sets 19(3), 1–13 (2013)
Atanassov, K.: On index matrices, part 1: standard cases. Adv. Stud. Contemp. Math. 20(2), 291–302 (2010)
Atanassov, K.: On index matrices, part 2: intuitionistic fuzzy case. Proc. Jangjeon Math. Soc. 13(2), 121–126 (2010)
Atanassov, K.: On Intuitionistic Fuzzy Sets Theory. Springer, Berlin (2012)
Atanassov, K., Atanassova, V., Gluhchev, G.: InterCriteria Analysis: ideas and problems. Notes Intuitionistic Fuzzy Sets 21(1), 81–88 (2015)
Atanassova, V., Mavrov, D., Doukovska, L., Atanassov, K.: Discussion on the threshold values in the InterCriteria decision making approach. Notes Intuitionistic Fuzzy Sets 20(2), 94–99 (2014)
Atanassova, V., Doukovska, L., Atanassov, K., Mavrov, D.: InterCriteria decision making approach to EU member states competitiveness analysis. In: Shishkov, B. (ed.) Proceedings of the International Symposium on Business Modeling and Software Design - BMSD 2014, pp. 289–294 (2014)
Atanassova, V., Doukovska, L., Karastoyanov, D., Capkovic, F.: InterCriteria decision making approach to EU member states competitiveness analysis: trend analysis. In: Angelov, P., et al. (ed.) Intelligent Systems 2014. Advances in Intelligent Systems and Computing, vol. 322, pp. 107–115. Springer, Cham (2014)
Atanassova, V.: Interpretation in the intuitionistic fuzzy triangle of the results, obtained by the InterCriteria analysis. In: 16th World Congress of the International Fuzzy Systems Association (IFSA), 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30 June–3 July 2015, Gijon, Spain, pp. 1369–1374 (2015)
Bureva, V., Sotirova, E., Sotirov, S., Mavrov, D.: Application of the InterCriteria decision making method to Bulgarian universities ranking. Notes Intuitionistic Fuzzy Sets 21(2), 111–117 (2015)
Dare, P.: Optimal design of GPS networks: operational procedures. Ph.D. Thesis, School of Surveying, University of East London, UK (1995)
Dare, P., Saleh, H.A.: GPS network design: logistics solution using optimal and near-optimal methods. J. Geodesy 74, 467–478 (2000)
Dorigo, M., Gambardella, L.M.: Ant colony system: a cooperative learning approach to the traveling salesman problem. IEEE Trans. Evol. Comput. 1, 53–66 (1997)
Dorigo, M., Birattari, M.: Ant colony optimization. In: Sammut, C., Webb, G.I. (eds.) Encyclopedia of Machine Learning, pp. 36–39. Springer, New York (2010)
Doukovska, L., Atanassova, V.: InterCriteria Analysis approach in radar detection threshold analysis. Notes Intuitionistic Fuzzy Sets 21(4), 129–135 (2015)
Fidanova, S.: An heuristic method for GPS surveying problem. In: Lecture Notes in Computer Science, vol. 4490, pp. 1084–1090 (2007)
Fidanova, S.: Hybrid heuristics algorithms for GPS surveying problem. In: Lecture Notes in Computer Science, vol. 4310, pp. 239–248 (2007)
Fidanova, S., Alba, E., Molina, G.: Memetic simulated annealing for GPS surveying problem. In: Lecture Notes in Computer Science, vol. 5434, pp. 281–288 (2009)
Fidanova, S., Alba, E., Molina, G.: Hybrid ACO algorithm for the GPS surveying problem. In: Lecture Notes in Computer Science, vol. 5910, pp. 318–325 (2010)
Ilkova, T., Petrov, M.: InterCriteria analysis for identification of Escherichia coli fed-batch mathematical model. J. Int. Sci. Publ. Mater. Methods Technol. 9, 598–608 (2015)
Ilkova, T., Petrov, M.: Application of InterCriteria Analysis to the Mesta river pollution modelling. Notes Intuitionistic Fuzzy Sets 21(2), 118–125 (2015)
Ilkova, T., Petrov, M.: Using InterCriteria analysis for assessment of the pollution indexes of the Struma river. In: Atanassov, K., Castillo, O., Kacprzyk, J., Storiv, S., Sotirova, E., Szmidt, E., Tre, G.D., Zadrozny, S. (eds.) Novel Developments in Uncertainty Representation and Processing. Advances in Intelligent System and Computing, vol. 401, pp. 351–364. Springer, Cham (2016)
Leick, A.: GPS Satellite Surveying, 3rd edn. Wiley, Hoboken (2004). 464 Pages
Mavrov, D.: Software for InterCriteria Analysis: implementation of the main algorithm. Notes Intuitionistic Fuzzy Sets 21(2), 77–86 (2015)
Pencheva, T., Angelova, M., Atanassova, V., Roeva, O.: InterCriteria Analysis of genetic algorithm parameters in parameter identification. Notes Intuitionistic Fuzzy Sets 21(2), 99–110 (2015)
Pencheva, T., Angelova, M., Vassilev, P., Roeva, O.: InterCriteria Analysis approach to parameter identification of a fermentation process model. In: Advances in Intelligent Systems and Computing, vol. 401, pp. 385–397. Springer, Cham (2016)
Roeva, O., Fidanova, S., Vassilev, P., Gepner, P.: InterCriteria Analysis of a model parameters identification using genetic algorithm. Ann. Comput. Sci. Inf. Syst. 5, 501–506 (2015)
Roeva, O., Fidanova, S., Paprzycki, M.: InterCriteria analysis of ACO and GA hybrid algorithms. In: Studies in Computational Intelligence, vol. 610, pp. 107–126. Springer, Cham (2016)
Roeva, O., Vassilev, P.: InterCriteria analysis of generation gap influence on genetic algorithms performance. In: Advances in Intelligent Systems and Computing, vol. 401, pp. 301–313. Springer, Cham (2016)
Roeva, O., Vassilev, P., Angelova, M., Pencheva, T.: InterCriteria analysis of parameters relations in fermentation processes models. In: Lecture Notes in Computer Science, vol. 9330, pp. 171–181. Springer, Cham (2015)
Saleh, H.A., Dare, P.: Effective heuristics for the GPS survey network of Malta: simulated annealing and tabu search techniques. J. Heuristics 7, 533–549 (2001)
Saleh, H.A., Dare, P.: Heuristic methods for designing a global positioning system surveying network in the Republic of Seychelles. Arab. J. Sci. Eng. 26(1B), 74–93 (2002)
Saleh, H.A.: Ants can successfully design GPS surveying networks. GPS World 9, 48–60 (2002)
Sotirov, S., Atanassova, V., Sotirova, E., Bureva, V., Mavrov, D.: Application of the intuitionistic fuzzy InterCriteria Analysis method to a neural network preprocessing procedure. In: 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30 June–3 July 2015, Gijon, Spain, pp. 1559–1564
Stutzle, T., Hoos, H.H.: MAX-MIN ant system. In: Dorigo, M., Stutzle, T., Di Caro, G. (eds.) Future Generation Computer Systems, vol. 16, pp. 889–914 (2000)
Vassilev, P., Todorova, L., Andonov, V.: An auxiliary technique for InterCriteria Analysis via a three dimensional index matrix. Notes Intuitionistic Fuzzy Sets 21(2), 71–76 (2015)
Acknowledgements
This work was partially supported by two grants of the Bulgarian National Scientific Fund: DFNI-I-02/20 “Efficient Parallel Algorithms for Large Scale Computational Problems” and DFNI I02/5 “InterCriteria Analysis. A New Approach to Decision Making”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Fidanova, S., Atanassova, V., Roeva, O. (2018). Ant Colony Optimization Application to GPS Surveying Problems: InterCriteria Analysis. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications. IWIFSGN 2016. Advances in Intelligent Systems and Computing, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-319-65545-1_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-65545-1_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-65544-4
Online ISBN: 978-3-319-65545-1
eBook Packages: EngineeringEngineering (R0)