Geodesic
A deterministic algorithm for solving the Weber problem for an $n$-sequentially connected chain
Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 5, pp. 84-96

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The class of $n$-sequentially connected chains is introduced. Here is set an algorithm based on dynamic programming which reasonably solves the Weber problem for an $n$-sequentially connected chain and a finite set of location positions. The analysis of the proposed algorithm is given. On a set of problem cases which was randomly generated, the comparison of action period of the given algorithm and a model of integer linear programming was carried out in IBM ILOG CPLEX. Ill. 3, tab. 1, bibliogr. 16.
Keywords: Weber problem, $n$-sequentially connected chain, dynamic programming, exact algorithm. 
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     author = {R. E. Shangin},
     title = {A deterministic algorithm for solving the {Weber} problem for an $n$-sequentially connected chain},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {84--96},
     publisher = {mathdoc},
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     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2013_20_5_a6/}
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R. E. Shangin. A deterministic algorithm for solving the Weber problem for an $n$-sequentially connected chain. Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 5, pp. 84-96. http://geodesic.mathdoc.fr/item/DA_2013_20_5_a6/