6533b82efe1ef96bd12944ec

RESEARCH PRODUCT

Duality for constrained multifacility location problems with mixed norms and applications

Christian MichelotH. IdrissiO. Lefebvre

subject

Mathematical optimizationTheory of computationGeneral Decision SciencesInverseDuality (optimization)Management Science and Operations ResearchMathematics

description

A dual problem is developed for the constrained multifacility minisum location problems involving mixed norms. General optimality conditions are also obtained providing new algorithms based on the concept of partial inverse of a multifunction. These algorithms which are decomposition methods, generate sequences globally converging to a primal and a dual solution respectively. Numerical results are reported.

https://doi.org/10.1007/bf02097796