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A more complex example showing the augmentation of a minimal cost network is provided in Fig. 7.
Thus, we can efficiently augment the minimal cost network flow that solves the model given by Eqs.
After solving the problem as formulated above, the traffic flows (footprints) relative to the single links composing the minimal cost network flow are identified.
5): the exact optimal solution identifying the footprints of the city bus relative to all the arcs forming the minimal cost network; the augmenting paths corresponding to the pickup stage, the PoI visiting stage and the drop-off stage.
Figure 6b depicts the augmented minimal cost network, that is, the three directed paths corresponding to the three optimal sub-itineraries that the city bus must actually pursue to successfully complete its three-stage journey.
The GAMS code developed for this project returns: (1) the exact optimal solution identifying the footprints of the city bus relative to all the arcs forming the minimal cost network; (2) the augmenting paths corresponding to the pickup stage, the PoI visiting stage and the drop-off stage.
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Our approach merges and simultaneously addresses two main issues related to arc routing problems: identifying the footprints of a minimum cost network flow and augmenting the corresponding residual network in search of minimal flows.
In this paper, a strategy is proposed to design a minimal cost sensor network ensuring the observability of complex systems.
An evolutionary approach is used to search the design space for a minimal cost three-level network.
HIV care and treatment in India are provided at no cost or minimal cost to PLHIV through a network of public, private and public private healthcare facilities.
As a first approximation, this paper describes a procedure for obtaining near-optimal CO2 pipeline networks with minimal cost per tonne of CO2 avoided, under the simplifying assumption of fixed steady state flow.
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