no. 2
Ratio rewards in networks
RAIRO - Operations Research - Recherche Opérationnelle, Tome 15 (1981) no. 2, pp. 129-138. 
@article{RO_1981__15_2_129_0,
     author = {Aggarwal, V. and Aneja, Y. P. and Nair, K. P. K.},
     title = {Ratio rewards in networks},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {129--138},
     publisher = {EDP-Sciences},
     volume = {15},
     number = {2},
     year = {1981},
     mrnumber = {627134},
     zbl = {0457.90077},
     language = {en},
     url = {http://www.numdam.org/item/RO_1981__15_2_129_0/}
}
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AU  - Nair, K. P. K.
TI  - Ratio rewards in networks
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PY  - 1981
SP  - 129
EP  - 138
VL  - 15
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PB  - EDP-Sciences
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%A Nair, K. P. K.
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%D 1981
%P 129-138
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%I EDP-Sciences
%U http://www.numdam.org/item/RO_1981__15_2_129_0/
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Aggarwal, V.; Aneja, Y. P.; Nair, K. P. K. Ratio rewards in networks. RAIRO - Operations Research - Recherche Opérationnelle, Tome 15 (1981) no. 2, pp. 129-138. http://www.numdam.org/item/RO_1981__15_2_129_0/

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3. Y. M. I. Dirickx and M. R. Rao, Networks with Gains in Discrete Dynamic Programming, Management Science, Vol. 20, No. 11, 1974, pp. 1428-1431. | MR | Zbl

4. J. F. Maurras, Optimization of the Flow Through Networks with Gains, Mathematical Programming, Vol. 3, 1972, pp. 135-144. | MR | Zbl