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We also provide a primal-dual cost sharing method for the connected facility location game with opening costs.
We consider generalizations of the connected facility location problem, where clients connect to open facilities via access trees that are shared by multiple clients.
The optimization problem is then formulated as an integer linear program, and the problem is the same as a special case of the connected facility location problem, which is known to be NP-hard.
Similar to the connected facility location problem, the passive optical network design problem requires the search for a subset of deployed distribution points (splitters) as well as an allocation of demand points (optical network units) to minimise deployment cost.
We present cost sharing methods for connected facility location games that are cross-monotonic and competitive and that recover a constant fraction of the cost of the constructed solution.
For example, we reduce the approximation ratio for the connected facility location problem from 8.55 to 4.00 and for the single-sink rent-or-buy problem from 3.55 to 2.92.
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In such problems, we are given a number of potential facilities to serve costumers that are connected to facilities aiming to find locations such that the cost of serving all customers is minimized.
The flow condition in free jet experiments agrees with that in the direct-connect facility.
Furthermore, the starting characteristics of the direct-connect facility are simulated.
The direct-connect facility is commonly used in the combustor study because of the short research cycle, minimal investment, and high revenue.
To verify the design philosophy, computational fluid dynamics (CFD) simulations are conducted on the isolators downstream of a scramjet inlet and the new direct-connect facility nozzle.
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