Geodesic
Optimal Distribution Centers Involving Supply Capacity, Demands and Budget Restriction
Yugoslav journal of operations research, Tome 4 (1994) no. 2, p. 187 .

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Let $G = (V, E)$ be a connected graph expressing a distribution network. The elements of $D \subseteq V$ represent demand centers, while $S \subseteq V$ contains the candidate supply centers. To each node $v_i \in D$, we associate a demand $d_i$, and to each clement $v_j$ of S the couple $(e_j, c_j)$, where $e_j$ and $c_j$ are the set up cost and the capacity of $v_j$ respectively. Furthermore, the distance for every arc $(v_i, v_j) \in E$ and the transportation cost of the product unit are given. In this paper an algorithm is developed which determines a subset of S in order to satisfy the demands with a minimum distribution cost, so that the total set up cost of supply centers does not exceed a given budget.
Keywords: Transportation, warehouse location, combinatorial optimization 
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     author = {C. C. Tsouros and M. Satratzemi},
     title = {Optimal {Distribution} {Centers} {Involving} {Supply} {Capacity,} {Demands} and {Budget} {Restriction}},
     journal = {Yugoslav journal of operations research},
     pages = {187 },
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_1994_4_2_a5/}
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C. C. Tsouros; M. Satratzemi. Optimal Distribution Centers Involving Supply Capacity, Demands and Budget Restriction. Yugoslav journal of operations research, Tome 4 (1994) no. 2, p. 187 . http://geodesic.mathdoc.fr/item/YJOR_1994_4_2_a5/