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Solving traveling salesman problem using parallel repetitive nearest neighbor algorithm on OTIS-Hypercube and OTIS-Mesh optoelectronic architectures

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Abstract

Over the past years, researchers drew their attention to propose optoelectronic architectures, including optical transpose interconnection system (OTIS) networks. On the other hand, there are limited attempts devoted to design parallel algorithms for applications that could be mapped on such optoelectronic architectures. Thus, exploiting the attractive features of OTIS networks and investigating their performance in solving combinatorial optimization problems become a great necessity. In this paper, a parallel repetitive nearest neighbor algorithm for solving the symmetric traveling salesman problem on OTIS-Hypercube and OTIS-Mesh optoelectronic architectures is presented. This algorithm has been evaluated analytically and by simulation on both optoelectronic architectures in terms of number of communication steps, parallel run time, speedup, efficiency, cost and communication cost. The simulation results attained almost near-linear speedup and high efficiency among the two selected optoelectronic architectures, where OTIS-Hypercube gained better results in comparison with OTIS-Mesh.

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References

  1. Marsden G, Marchand P, Harvey P, Esener S (1993) Optical transpose interconnection system architectures. Opt Lett 18(13):1083–1085

    Article  Google Scholar 

  2. Rajasekaran S, Reif J (2008) Handbook of parallel computing models, algorithms and applications. CRC Press, Boca Raton

    MATH  Google Scholar 

  3. Lucas KT, Jana PK (2010) Parallel algorithms for finding polynomial roots on OTIS-torus. J Supercomput 54(2):139–153

    Article  Google Scholar 

  4. Jana P, Mallick D (2010) OTIS-MOT: an efficient interconnection network for parallel processing. J Supercomput 59(2):920–940

    Article  Google Scholar 

  5. Mahafzah B, Sleit Hamad N, Ahmad E, Abu-Kabeer T (2012) The OTIS hyper hexa-cell optoelectronic architecture. Computing 94(5):411–432

    Article  MathSciNet  MATH  Google Scholar 

  6. Wang C-F, Sahni S (1998) Basic operations on the OTIS-mesh optoelectronic computer. IEEE Trans Parallel Distrib Syst 9(12):1226–1236

    Article  Google Scholar 

  7. Osterloh A (2000) Sorting on the OTIS-mesh. In: Proceedings of the 14th International Parallel and Distributed Processing Symposium (IPDPS’00), pp 269–74

  8. Mahafzah B, Tahboub R, Tahboub O (2010) Performance evaluation of broadcast and global combine operations in all-port wormhole-routed OTIS-mesh interconnection networks. Cluster Comput 13(1):87–110

    Article  Google Scholar 

  9. Mahafzah B, Jaradat B (2008) The load balancing problem in OTIS-hypercube interconnection networks. J Supercomput 46(3):276–297

    Article  Google Scholar 

  10. Deb S, Fong S, Tian Z, Wong RK, Mohammed S, Fiaidhi J (2016) Finding approximate solutions of NP-hard optimization and TSP problems using elephant search algorithm. J Supercomput 72(10):3960–3992

    Article  Google Scholar 

  11. Matai R, Singh S, Mittal ML (2010) Traveling salesman problem: an overview of applications, formulations, and solution approaches. In: Davendra D (ed) Traveling salesman problem, theory and applications. InTech, pp 1–24. ISBN: 978-953-307-426-9

  12. Cormen T, Leiserson C, Rivest R, Stein C (2001) Introduction to algorithms. MIT press, London

    MATH  Google Scholar 

  13. Kang S, Kim S-S, Won J, Kang Y-M (2016) GPU-based parallel genetic approach to large-scale travelling salesman problem. J Supercomput 72(11):4399–4414

    Article  Google Scholar 

  14. Marinakis Y (2009) Heuristic and metaheuristic algorithms for the traveling salesman problem. In: Floudas CA, Pardalos PM (eds) Encyclopedia of optimization. Springer, New York, pp 1498–1506

    Chapter  Google Scholar 

  15. Reinelt G (1994) The traveling salesman: computational solutions for TSP applications. Lect Notes Comput Sci 840:73–97

    Article  Google Scholar 

  16. Zane F, Marchand P, Paturi R, Esener S (2000) Scalable network architectures using the optical transpose interconnection system (OTIS). J Parallel Distrib Comput 60(5):521–538

    Article  MATH  Google Scholar 

  17. Reinelt G (1991) TSPLIB: a traveling salesman problem library. ORSA J Comput 3(4):376–384

    Article  MathSciNet  MATH  Google Scholar 

  18. Grama A, Gupta A, Karyp G, Kumar G (2003) Introduction to parallel computing. Addison Wesley, Boston

    Google Scholar 

  19. Hennessy JL, Patterson DA (2011) Computer architecture: a quantitative approach. Morgan Kaufmann, Burlington

    MATH  Google Scholar 

  20. Kibar O, Marchand P, Esener S (1998) High speed CMOS switch designs for free-space optoelectronic MINs. IEEE Trans Very Large Scale Integr (VLSI) Syst 6(3):372–386

    Article  Google Scholar 

  21. Ansari AQ, Katiyar S (2015) Comparison and analysis of solving travelling salesman problem using GA, ACO and hybrid of ACO with GA and CS. In: Computational intelligence: theories, applications and future directions (WCI), 2015 IEEE Workshop, pp 1–5

  22. Johnson DS, Aragon CR, McGeoch LA, Schevon C (1989) Optimization by simulated annealing: an experimental evaluation: Part I. Graph partitioning. Oper Res 37(6):865–892

    Article  MATH  Google Scholar 

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Acknowledgements

The authors would like to express their deep gratitude to the anonymous referees for their valuable comments and helpful suggestions, which improved the paper.

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Authors and Affiliations

  1. Computer Science Department, King Abdullah II School for Information Technology, The University of Jordan, Amman, 11942, Jordan

    Aryaf Al-Adwan, Basel A. Mahafzah & Ahmad Sharieh

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  1. Aryaf Al-Adwan
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  2. Basel A. Mahafzah
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  3. Ahmad Sharieh
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Correspondence to Basel A. Mahafzah.

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Al-Adwan, A., Mahafzah, B.A. & Sharieh, A. Solving traveling salesman problem using parallel repetitive nearest neighbor algorithm on OTIS-Hypercube and OTIS-Mesh optoelectronic architectures. J Supercomput 74, 1–36 (2018). https://doi.org/10.1007/s11227-017-2102-y

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  • DOI: https://doi.org/10.1007/s11227-017-2102-y

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