Browsing by Subject "Quadratic assignment problem."

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Open Access
A polyhedral approach to quadratic assignment problem
(1994) Köksaldı, Ahmet Sertaç Murat
In this thesis, Quadratic Assignment Problem is considered. Since Quadratic Assignment Problem is JVP-bard, no polynomial time exact solution method exists. Proving optimality of solutions to Quadratic Assignment Problems has been limited to instances of small dimension. In this study, Quadratic Assignment Problem is handled from a polyhedral point of view. A graph theoretic formulation of the problem is presented. Later, Quadratic Assignment Polytope is defined and subsets of valid equalities and inequalities for Quadratic Assignment Polytope is given. Finally, results of the experiments with a polyhedral cutting plane algorithm using the new formulation is also presented.
Open Access
Two new algorithms for the linear assignment problem
(1990) Ekin, Oya
The linear assignment problem (AP) being among the first linear programming problems to be studied extensively,, is a fundamental problem in combinatorial optimization and network flow theory. AP arises in numerous applications of assigning personnel to jobs, assigning facilities to locations, sequencing jobs, scheduling flights, project planning and a variety of other practica.1 problems in logistics planning. In this thesis work, we seek for new approaches for solving the linear assignment problem. The main concern is to develop solution methods that exhibit some sort of parallelism. We present two new approaches for solving the assignment problem : A dual-feasible signature guided forest algorithm and a criss-cross like algorithm.