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Dynamic Cell Formation Problem (DCFP) seeks to cope with variation in part mix and demands using machine relocation, replication, and removing; whilst from practical point of view it is too hard to move machines between cells or invest on machine replication. To cope with this deficiency, this paper addresses Reconfigurable Dynamic Cell Formation Problem (RDCFP) in which machine modification is conducted instead of their relocation or replication in order to enhance machine capabilities to process...
An algebraic and combinatorial approach to the study of
the Quadratic Assignment Problem produced theoretical results that can
be applied to (meta) heuristics to give them information about the
problem structure, allowing the construction of algorithms. In this
paper those results were applied to inform a Simulated Annealing-type
heuristic (which we called RedInv-SA). Some results from tests with
known literature instances are presented.
In this paper we analyze a known relaxation for the Sparsest Cut
problem based on positive semidefinite constraints, and we present a
branch and bound algorithm and heuristics based on this relaxation.
The relaxed formulation and the algorithms were tested on small and moderate
sized instances. It leads to values very close to the
optimum solution values. The exact algorithm could obtain solutions
for small and moderate sized instances, and the best heuristics
obtained optimum or near optimum...
In this paper we analyze a known relaxation for the Sparsest Cut
problem based on positive semidefinite constraints, and we present a
branch and bound algorithm and heuristics based on this relaxation.
The relaxed formulation and the algorithms were tested on small and moderate
sized instances. It leads to values very close to the
optimum solution values. The exact algorithm could obtain solutions
for small and moderate sized instances, and the best heuristics
obtained optimum or near optimum...
Discrete-continuous project scheduling problems with positive discounted cash flows and the maximization of the NPV are considered. We deal with a class of these problems with an arbitrary number of discrete resources and one continuous, renewable resource. Activities are nonpreemptable, and the processing rate of an activity is a continuous, increasing function of the amount of the continuous resource allotted to the activity at a time. Three common payment models – Lump Sum Payment, Payments at...
Fractionnal mathematical programs appear in numerous operations research, computer science and economic domains. We consider in this paper the problem of maximizing the sum of 0–1 hyperbolic ratios (SRH). In contrast to the single ratio problem, there has been little work in
the literature concerning this problem. We propose two mixed-integer linear programming formulations of SRH and develop two different strategies to solve them. The first one consists in using directly a general-purpose mixed-integer...
We propose a heuristic for solving the maximum independent set
problem for a set of processors in a network with arbitrary
topology. We assume an asynchronous model of computation and we use
modified Hopfield neural networks to find high quality solutions. We
analyze the algorithm in terms of the number of rounds necessary to
find admissible solutions both in the worst case (theoretical
analysis) and in the average case (experimental Analysis). We show
that our heuristic is better than the...
In this paper we present a new approach to solve the Minimum Independent Dominating Set problem in general graphs which is one of the hardest optimization problem. We propose a method using a clique partition of the graph, partition that can be obtained greedily. We provide conditions under which our method has a better complexity than the complexity of the previously known algorithms. Based on our theoretical method, we design in the second part of this paper an efficient algorithm by including...
The simple plant location problem (SPLP) is considered and a genetic algorithm is proposed to solve this problem. By using the developed algorithm it is possible to solve SPLP with more than 1000 facility sites and customers. Computational results are presented and compared to dual based algorithms.
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