On Defensive Location Problem and its Solution Using Heuristic Methods
Keywords:competitive facility location, defensive location problem, constraint global optimization, heuristic methods, improved electromagnetism-like mechanism
A new approach to the defensive location problem (DLP) is proposed which aims to generalize the problem into a global optimization problem, hence the name â€œgeneralized DLPâ€ (GDLP). In DLP, a decision maker locates defensive facilities in a network in order to prevent their enemies from reaching an important site called a core. The fact that whether or not a defensive facility is located on a given vertex of the network leads to formulating DLP as a bi-level 0-1 programming problem. In GDLP, on the other hand, the defensive capacity allocated to vertices of the network can be any real number in a continuous interval. This gives rise to the formulation of GDLP as a global constraint optimization problem. Furthermore, simple but efficient heuristic solution method based on Improved Electromagnetism-like Mechanism tailored for GDLPs is proposed. The efficiency of the proposed solving methods is then shown by applying to some numerical examples of GDLP.
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