On Defensive Location Problem and its Solution Using Heuristic Methods


  • Omid Kardani Department of Applied Mathematics, Khajeh Nasir Toosi University of Technology, Tehran, Iran
  • Navid Kardani School of Engineering, Islamic Azad University, Tehran, Iran


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 “generalized DLP†(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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How to Cite

Kardani, O., & Kardani, N. (2013). On Defensive Location Problem and its Solution Using Heuristic Methods. Asian Journal of Applied Sciences, 1(2). Retrieved from https://www.ajouronline.com/index.php/AJAS/article/view/136