Original link: http://tecdat.cn/?p=6551
Traveling Salesman Problem (TSP) commonly used terms in one of the most complex problems, attributed to a combination of optimization. N travel to cities (vertices) need to check the (n-1)! possibility. 3,000 locations, 4 * 10 ^ 9131 possible solutions.
This paper investigated the performance of the package R: TSP and tspmeta. The results of my use very satisfied.
Enter the following code in your TSP225.csv file and output your solution and visualization. Generated 'tour' is a class of objects and TOUR integer; it contains your solution.
coords.df <- data.frame(long=TSP225$Long, lat=TSP225$Lat)
coords.mx <- as.matrix(coords.df)
# Compute distance matrix
dist.mx <- dist(coords.mx)
# Construct a TSP object
tsp.ins <- tsp_instance(coords.mx, dist.mx )
#
tour <- run_solver(tsp.ins, method="2-opt")
#Plot
autoplot(tsp.ins, tour)
Compare Solutions: The following figure shows the length of the seven best tourist heuristic solutions Concorde and the exact solution. For Concorde solution, I use the NEOS-Server hosted at UW-Madison.
methods <- c("nearest_insertion" "2-opt")
tours <- sapply(methods simplify = FALSE)
dotchart( ),
)
In the 2D random vertices # 23000
Clearly, as the number of vertices growth, exact solutions, and other heuristics to resolve the differences between the program significantly increased. 2-opt the solution closest to the optimum. Repeat the 2-opt solutions and choose the smallest value I was very close to the exact solution.
Thank you for reading this article, you have any questions please leave a comment below!
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Big Data tribe - Chinese professional third-party data service providers to provide customized one-stop data mining and statistical analysis consultancy services
Statistical analysis and data mining consulting services: y0.cn/teradat (Consulting Services, please contact the official website customer service )
QQ：3025393450
[Service] Scene
Research; the company outsourcing; online and offline one training; data collection; academic research; report writing; market research.
[Tribe] big data to provide customized one-stop data mining and statistical analysis consultancy
Welcome to elective our R language data analysis will be mining will know the course!