1999
DOI: 10.1016/s0305-0548(98)00069-0
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Competition-based neural network for the multiple travelling salesmen problem with minmax objective

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Cited by 100 publications
(74 citation statements)
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“…SOM-based approaches have been used for solving the minmax m-TSP, where the objective is to minimise the path of the longest agent. The approach creates an individual network for each agent, and the adaptation prefers neurons from the currently shortest tours when allocating tasks to the individual agents [24]. A similar idea has been considered for multi-agent coverage of a polygonal world with obstacles [16].…”
Section: Related Workmentioning
confidence: 99%
“…SOM-based approaches have been used for solving the minmax m-TSP, where the objective is to minimise the path of the longest agent. The approach creates an individual network for each agent, and the adaptation prefers neurons from the currently shortest tours when allocating tasks to the individual agents [24]. A similar idea has been considered for multi-agent coverage of a polygonal world with obstacles [16].…”
Section: Related Workmentioning
confidence: 99%
“…The problem can be constructed as a minimum cost flow (MCF) problem taking the inspiration from a paper which formulates the MCF problem for AGV routing in container terminals [13]. In Figure 2 G=(N,A), each initial AGV location can be considered as a source node.…”
Section: Problem Overviewmentioning
confidence: 99%
“…A self-organizing NN for the VRP based on an enhanced mTSP NN model is due to (Torki et al, 1997). Recently, Somhom et al, 1999) have developed a self-organizing NN approach for the mTSP with a minmax objective function, which minimizes the cost of the most expensive route. Utilizing GA for the solution of mTSP seems to be first due to (Zhang et al, 1999).…”
Section: Heuristic Solution Approaches For Mtspmentioning
confidence: 99%