Geodesic
A Cost and Pipeline Trade-Off in a Transportation Problem
Yugoslav journal of operations research, Tome 23 (2013) no. 2, p. 197

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The present paper deals with a trade off between cost and pipeline at a given time in a transportation problem. The time lag between commissioning a project and the time when the last consignment of goods reaches the project site is an important factor. This motivates the study of a bi-criteria transportation problem at a pivotal time T . An exhaustive set E of all independent cost-pipeline pairs (called efficient pairs) at time T is constructed in such a way that each pair corresponds to a basic feasible solution and in turn, gives an optimal transportation schedule. A convergent algorithm has been proposed to determine non-dominated cost pipeline pairs in a criteria space instead of scanning the decision space, where the number of such pairs is large as compared to those found in the criteria space.
Classification : 90B06, 90C05, 90C08
Keywords: Transportation problem, Combinatorial optimization, Bottleneck Transportation problem, Bi-criteria transportation problem, Efficient points 
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     author = {Vikas Sharma and Rita Malhotra and Vanita Verma},
     title = {A {Cost} and {Pipeline} {Trade-Off} in a {Transportation} {Problem}},
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Vikas Sharma; Rita Malhotra; Vanita Verma. A Cost and Pipeline Trade-Off in a Transportation Problem. Yugoslav journal of operations research, Tome 23 (2013) no. 2, p. 197 . http://geodesic.mathdoc.fr/item/YJOR_2013_23_2_a4/