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Modified TANYAKUMU Labelling Method to Solve Equality Generalized Travelling Salesman Problem

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Intelligent Computing & Optimization (ICO 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 569))

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Abstract

Equality generalized travelling salesman problem (E-GTSP) is a variant of the travelling salesman problem where the set of cities are partitioned to form clusters. The travelling salesman is required to start from the home city and visit exactly one city in each and every cluster and return home while minimizing travelled distance. In this paper TANYAKUMU labelling method for solving travelling salesman problem is modified to solve E-GTSP. The algorithm terminates after m iterations where m is the number of clusters in the problem and computational complexity reduces as iterations increases. Numerical illustration is used to prove the validity and efficiency of the proposed algorithm.

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Correspondence to Elias Munapo .

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Tawanda, T., Nyamugure, P., Kumar, S., Munapo, E. (2023). Modified TANYAKUMU Labelling Method to Solve Equality Generalized Travelling Salesman Problem. In: Vasant, P., Weber, GW., Marmolejo-Saucedo, J.A., Munapo, E., Thomas, J.J. (eds) Intelligent Computing & Optimization. ICO 2022. Lecture Notes in Networks and Systems, vol 569. Springer, Cham. https://doi.org/10.1007/978-3-031-19958-5_88

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