Room allocation: a polynomial subcase of the quadratic assignment problem

Room allocation: a polynomial subcase of the quadratic assignment problem

The quadratic assignment problem (QAP) is among the hardest combinatorial optimization problems. Very few instances of this problem can be solved in polynomial time. In this paper we address the problem of allocating rooms among people in a suitable shape of corridor with some constraints of undesired neighborhood. We give a linear time algorithm for this problem that we formulate as a QAP. c ©...

A Honey Bee Algorithm To Solve Quadratic Assignment Problem

Assigning facilities to locations is one of the important problems, which significantly is influence in transportation cost reduction. In this study, we solve quadratic assignment problem (QAP), using a meta-heuristic algorithm with deterministic tasks and equality in facilities and location number. It should be noted that any facility must be assign to only one location. In this paper, first o...

Robust Quadratic Assignment Problem with Uncertain Locations

 We consider a generalization of the classical quadratic assignment problem, where coordinates of locations are uncertain and only upper and lower bounds are known for each coordinate. We develop a mixed integer linear programming model as a robust counterpart of the proposed uncertain model. A key challenge is that, since the uncertain model involves nonlinear objective function of the ...

The Quadratic Assignment Problem

This paper aims at describing the state of the art on quadratic assignment problems (QAPs). It discusses the most important developments in all aspects of the QAP such as linearizations, QAP polyhedra, algorithms to solve the problem to optimality, heuristics, polynomially solvable special cases, and asymptotic behavior. Moreover, it also considers problems related to the QAP, e.g. the biquadra...

Quadratic Assignment Problem: Linearizations and Polynomial Time Solvable Cases