Geodesic
Capacity and Maximal Value of the Network Flow with Multiplicative Constraints
Yugoslav journal of operations research, Tome 7 (1997) no. 2, p. 231 .

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A class of network flows, called multiplicative or M-flows is investigated in this paper. M-flows arc subject to multiplicative capacity constraints . These constraints are sums of products with positive coefficients of flow function values on the arcs of subsets of the network arcs. A definition is give n to the flow capacity of a cutting set. Maximality conditions for multiplicative flow optimality are obtained . A theorem, analogous to the mincut-maxflow theorem for the classical network flow is proved.
Classification : 90B10
Keywords: Network flow, generalized flow, side constraints 
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     author = {Vassil Sgurev and Mariana Nikolova},
     title = {Capacity and {Maximal} {Value} of the {Network} {Flow} with {Multiplicative} {Constraints}},
     journal = {Yugoslav journal of operations research},
     pages = {231 },
     publisher = {mathdoc},
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     year = {1997},
     zbl = {0949.90007},
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Vassil Sgurev; Mariana Nikolova. Capacity and Maximal Value of the Network Flow with Multiplicative Constraints. Yugoslav journal of operations research, Tome 7 (1997) no. 2, p. 231 . http://geodesic.mathdoc.fr/item/YJOR_1997_7_2_a3/