In this paper a model and algorithmic solution are created to control the path planning decision processes of multiple cooperating autonomous aerial vehicles engaged in a search of an uncertain and risky environment. Methods to incorporate a priori and dynamic information about the targets and to incorporate threats in a three-dimensional environment into a computationally feasible dynamic prog...

In this paper, we discuss the portfolio optimization problem with real-world constraints under the assumption that the returns of risky assets are fuzzy numbers. A newpossibilistic mean-semiabsolute deviation model is proposed, in which transaction costs, cardinality and quantity constraints are considered. Due to such constraints the proposed model becomes a mixed integer nonlinear programming...

the partial differential equations for water flow and solute transport in a two-dimensional saturated domain are rendered discrete using the finite difference technique; the resulting system of algebraic equations is solved using a dynamic programming (dp) method. the advantage of the dp algorithm is that the problem is converted from solving an algebraic system of order nc(nl-1) nc(nl-1) into...

The transportation of hazardous materials such as gasoline has unique features due to the nature of these type of materials and the importance role of these material in human life. Therefore, determining the routing of these materials is more challengeable than non-hazardous one due to more dangerous and risky condition besides the transportation costs. Since the distribution of gasoline take p...

In a nancial market consisting of a non risky asset and a risky one, we study the minimal initial capital needed in order to super-replicate a given contingent claim under a Gamma constraint. This is a constraint on the unbounded variation part of the hedging portfolio. We rst consider the case in which the prices are given as general Markov di usion processes and prove a veri cation theorem wh...