A Dual Exterior Point Simplex Type Algorithm for the Minimum Cost Network Flow Problem
George Geranis, Konstantinos Paparrizos, Angelo Sifaleras (2009)
The Yugoslav Journal of Operations Research
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George Geranis, Konstantinos Paparrizos, Angelo Sifaleras (2009)
The Yugoslav Journal of Operations Research
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Qüestiió
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In this paper we describe a new type of network flow problem that basically consists of the classical transshipment problem with the following extensions: (1) The replication of a network by producing subnetworks with identical structure, such that they are linked by so-called linking arcs; (2) The objective function terms related to the linking arcs are nondifferentiable nonlinear functions. We also describe an implementation of a linearly constrained nonlinear programming algorithm...
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The Yugoslav Journal of Operations Research
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The Yugoslav Journal of Operations Research
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In this paper we present the motivation for using the Truncated Newton method in an algorithm that maximises a non-linear function with additional maximin-like arguments subject to a network-like linear system of constraints. The special structure of the network (so-termed replicated quasi-arborescence) allows to introduce the new concept of independent superbasic sets and, then, using second-order information about the objective function without too much computer effort and storage. ...
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