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OVRP aims at designing the minimum cost set of routes originating from a central depot for satisfying customer demand.
The problem under investigation is aimed at finding the minimum cost set of routes to satisfy a set of clients whose demand is not deterministically known.
Mathematically, the truckload shipper collaboration problem translates into covering a subset of arcs in a directed Euclidean graph by a minimum cost set of constrained cycles.
This upgrade reduces the delay of each link emanating from v. The goal is to find a minimum cost set of nodes to be upgraded so that the resulting network has a good performance.
Given an undirected graph with specified edge costs and (integer) connectivity requirements between pairs of nodes, the SND problem seeks the minimum cost set of edges that interconnects each node pair with at least as many edge-disjoint paths as the connectivity requirement of the nodes.
Given a graph with non-negative edge costs and node pairs Q, the hop-constrained survivable network design problem consists of constructing a minimum cost set of edges so that the induced subgraph contains at least K edge-disjoint paths containing at most L edges between each pair in Q.
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We designed and developed a C + + program to run instances of the Minimum Cost Probe Set and Maximum Distinguishing Probe Set problems.
In the source location problem, the goal is to compute a minimum cost source set in a graph so that the connectivity between the source set and each vertex is at least the demand of the vertex.
We analyze the structure of landmark sets for trees and design a linear time algorithm for finding a minimum cost landmark set for a given tree graph.
One heuristic is based on simulated annealing, which has been proposed for MDPS (Maximum Distinguishing Probe Set) and the other heuristic based on Lagrangian relaxation has been proposed for MCPS (Minimum Cost Probe Set).
Finally an optimized layout for the minimum cost plant, set up adopting the pinch technique, is presented leading to a further reduction of H2 production costs.
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Justyna Jupowicz-Kozak
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