Because the underlying physiology of pathological tremor in a Parkinson's patient is not well understood, the existing physical and drug therapies have not been successful in tremor treatment. Different mathematical modeling of such vibration has been introduced to investigate the problem and reduce the existing vibration. Most of the models have represented the induced vibration as a sinusoida...

Modeling and optimal solving of supply chain management problems lead to efficient decision making in strategic planning and supply chain operations, resulting in a competitive advantage. Today, with the planning of a sustainable supply chain, in addition to achieving economic goals, it is possible to meet social and environmental objectives and considerations. This research deal with sustainab...

In this paper we introduce the multi-period incremental service facility location problem where the goal is to set a number of new facilities over a finite time horizon so as to cover dynamically the demand of a given set of customers. We prove that the coefficient matrix of the allocation subproblem that results when fixing the set of facilities to open is totally unimodular. This allows to so...

Evolutionary optimization algorithms have been used to solve multiple objective problems. However, most of these methods have focused on search a sufficient Pareto front, and no efforts are made to explore the diverse Pareto optimal solutions corresponding to a Pareto front. Note that in semi-obnoxious facility location problems, diversifying Pareto optimal solutions is important. The paper the...

The Fermat–Weber location problem (also single facility location problem) is to locate a facility that will serve optimally a set of customers, given by their locations and weights, in the sense of minimizing the weighted sum of distances traveled by the customers. A well known method for solving the problem is the Weiszfeld method [25], a gradient method that expresses and updates the sought c...