Skip to main content

Chemical Reaction Optimization for Traveling Salesman Problem Over a Hypercube Interconnection Network

  • Conference paper
  • First Online:
Book cover Cybernetics and Algorithms in Intelligent Systems (CSOC2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 765))

Included in the following conference series:

  • 735 Accesses

Abstract

Traveling Salesman Problem is a well-known NP-Hard problem, which aims at finding the shortest path between numbers of cities. Chemical Reaction Optimization (CRO) is a recently established meta-heuristic algorithm for solving optimization problems which has successfully solved many optimization problems. The main goal of this paper is to investigate the possibility of parallelizing CRO for solving the TSP problem called (PCRO). PCRO is compared with Genetic Algorithm (GA), which is a well-known meta-heuristic algorithm. Experimental results show relatively better performance for PCRO in terms of execution time, Speedup, optimal cost and Error rate.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Vukmirović, S., Pupavac, D.: The Travelling Salesman Problem in the Function of Transport Network Optimalization. Fakulty of Economics, Interdisciplinary Management Research IX, University in Osijek, Osijek (2013)

    Google Scholar 

  2. Zhan, F., Noon, C.: Shortest path algorithms: an evaluation using real road networks. Transp. Sci. (1996)

    Google Scholar 

  3. Al-Shaikh, A., Khattab, H., Sharieh, A., Sleit, A.: Resource utilization in cloud computing as an optimization problem. Int. J. Adv. Comput. Sci. Appl. (IJACSA) 7(6), 336–342 (2016)

    Google Scholar 

  4. Hoffman, K.L., Padberg, M., Rinaldi, G.: Traveling salesman problem. In: Encyclopedia of Operations Research and Management Science, pp 1573–1578. Springer (2016)

    Chapter  Google Scholar 

  5. Lam, A.Y.S., Li, V.O.K.: Chemical reaction optimization: a tutorial. Memet. Comput. 4, 3–17 (2012)

    Article  Google Scholar 

  6. Barney, B.: Introduction to Parallel Computing. Lawrence Livermore National Laboratory (2007). https://computing.llnl.gov/tutorials/parallel_comp/

  7. Sleit, A., Salah, I., Jabay, R.: Approximating images using minimum bounding rectangles. In: ICADIWT 2008, pp. 394–396 (2008) https://doi.org/10.1109/ICADIWT.2008.4664379

  8. Ostrouchov, G.: Parallel computing on a hypercube: an overview of the architecture and some applications. In: Heiberger, R.M. (ed.) Proceedings of the 19th Symposium on the Interface of Computer Science and Statistics, pp. 27–32. American Statistical Association (1987)

    Google Scholar 

  9. Kiasari, A., Sarbazi-Azad, H.: Analytic performance comparison of hypercubes and star graphs with implementation constraints. J. Comput. Syst. Sci. 74(6), 1000–1012 (2008)

    Article  MathSciNet  Google Scholar 

  10. Cathleen, L.: “Inside a NASA Production Supercomputing Center” Concept To Reality magazines, Summer/Fall issue (2011)

    Google Scholar 

  11. Mohan, A., Remya, G.: A parallel implementation of ant colony optimization for TSP based on MapReduce framework. Int. J. Comput. Appl. 88(8), 9–12 (2014)

    Google Scholar 

  12. Er, H.R., Erdogan, N.: Parallel genetic algorithm to solve traveling salesman problem on MapReduce framework using Hadoop cluster”. arXiv preprint arXiv:1401.6267 (2014)

  13. Sun, J., Wang, Y., Li, J., Gao, K.: Hybrid algorithm based on chemical reaction optimization and Lin-Kernighan local search for the traveling salesman problem (2011)

    Google Scholar 

  14. Shaheen, A., Sleit, A.: Comparing between different approaches to solve the 0/1 Knapsack problem. Int. J. Comput. Sci. Netw. Secur. 16(7), 1–10 (2016)

    Google Scholar 

  15. Barham, R., Sharieh, A., Sliet, A.: Chemical reaction optimization for max flow problem. (IJACSA) Int. J. Adv. Comput. Sci. Appl. 7(8), 189–196 (2016)

    Google Scholar 

  16. Deb, K.: An introduction to genetic algorithms. Sadhana 24(4–5), 293–315 (1999)

    Article  MathSciNet  Google Scholar 

  17. TSP Website: A collection of worldwide benchmark datasets (2009). http://www.math.uwaterloo.ca/tsp/world/countries.html. Accessed 15 Dec 2017

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ameen Shaheen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Shaheen, A., Sleit, A., Al-Sharaeh, S. (2019). Chemical Reaction Optimization for Traveling Salesman Problem Over a Hypercube Interconnection Network. In: Silhavy, R. (eds) Cybernetics and Algorithms in Intelligent Systems . CSOC2018 2018. Advances in Intelligent Systems and Computing, vol 765. Springer, Cham. https://doi.org/10.1007/978-3-319-91192-2_43

Download citation

Publish with us

Policies and ethics