Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study a generalization of the classical traveling salesman problem, where multiple salesmen are positioned at different depots, of which only a limited number (k) can be selected to service customers. For this problem, only two 2-approximation algorithms are available in the literature. Here,  improve on these algorithms by showing that a non-trivial extension of the ll-known Christofides heuristic has a tight approximation ratio of 2−1/(2k). In doing so,  develop a body of analysis which can be used to build new approximation algorithms for other vehicle routing problems.
['Zhou Xu', 'Brian Rodrigues']
I am writing a research paper on a idea An extension of the Christofides heuristic for the generalized multiple depot multiple traveling salesmen problem
[{"from": "human", "value": "I am writing a research paper on a idea An extension of the Christofides heuristic for the generalized multiple depot multiple traveling salesmen problem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study a generalization of the classical traveling salesman problem, where multiple salesmen are positioned at different depots, of which only a limited number (k) can be selected to service customers. For this problem, only two 2-approximation algorithms are available in the literature. Here,  improve on these algorithms by showing that a non-trivial extension of the ll-known Christofides heuristic has a tight approximation ratio of 2\u22121/(2k). In doing so,  develop a body of analysis which can be used to build new approximation algorithms for other vehicle routing problems."}]