In this paper the issue of mathematical programming and optimization has being revisited. The theory of optimization deals with the development of models and methods that determine optimal solutions to mathematical problems defined. Mathematical model must be some function of any solution that...

In this research, a first order Markov model is built from a corpus of bagana music, a traditional lyre from Ethiopia. Different ways in which low order Markov models can be used to build quality assessment metrics for an optimization algorithm are explained. These are then implemented in a...

We present a two-phase heuristic for designing a capacitated degree constrained min sum arborescence. For a given directed graph G(V,E) where V={0, 1,…,n} with nonnegative costs Cij for each (i,j)

In the given research we study a leadership formation of the most influential nodes in networks. Specifically, we analyze the competition between a leader and a follower based on the Stackelberg leadership model. Applying the concept of Shapley value to measure node’s importance, we represent...

This discussion paper resulted in a publication in <A href="http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8239378&fulltextType=RA&fileId=S026996481000032X">'Probability in the Engineering and Informational Sciences'</A>, 25(2), 157-69.<p>A version of the classical secretary problem is studied, in which one is interested in selecting one of the <I>b</I> best out of a group of <I>n</I> differently ranked persons who are...</i></i></p></a>

In this paper we study Markov Decision Process (MDP) problems with the restriction that at decision epochs only a finite number of given Markovian decision rules may be applied. The elements of the finite set of allowed decision rules should be mixed to improve the performance. The set of...

Exploitation of non–renewable resources is an intensively studied field of environmental economics in the last century. Since the influential Hotelling’s paper a huge progress is made in the depletable resources literature. Although a variety of methodologies is used in that problem’s...

Many questions of interest can be stated in terms of monotone comparative statics: if a parameter of a constrained optimization problem “increases,” when does its solution “increase” as well. This paper studies monotone comparative statics in different directions in finite-dimensional...

This paper introduces an Integrated Economic-Hydrologic water modeling at the basin scale that can provide essential information for policymakers in resource allocation decisions. The model is applied to the Pirapama river basin, in Pernambuco state, Northeast of Brazil. Includes essential...

This paper develops a formal framework based on multivariate spectral techniques for assessing the performance of multivariate dynamic models whose solution is approximated through simulation. The approach is especially suitable for models that focus on a particular frequency range , such as...