The effects of random environmental impacts on optimal exploitation of a fish population are investigated using both optimization and simulation, based on a discrete-time age-structured bioeconomic model. The optimization problem is solved as a non-linear programming problem in GAMS. First, a...

We consider an infinite horizon optimization problem with arbitrary but finite periodicity in discrete time. The problem can be formulated as a fix-point problem for a contraction operator, and we provide a solution scheme for this class of problems. Our approach is an extension of the classical...

This study presents a multispecies stochastic model. The model suggests optimal fishing policy for two species in a three species predator prey ecosystem in the Barents Sea. We have employed stochastic dynamic programing to solve a three dimensional model, where catch is optimized by a...

In this paper, we state sufficiency, necessity, convergence, existence and uniqueness results for infinite horizon optimal control problems with unbounded payoffs in which the assumptions are very weak and there are no topological assumptions about the model components. We also state a sequence...

In spite of a manager's best attempts, a managed rangeland may hit an irreversible state in which it provides neither consumptive nor non-consumptive services to humans. Therefore, given a particular time based management regime, it is useful to know how long it takes for a rangeland to hit the...

We discuss a few supply chain design concepts and optimization models that have been applied in the energy sector. It is not our intention to provide a comprehensive review of the vast literature. Our goal is to provide the reader with pointers to some interesting and challenging problems,...

In spite of a manager's best attempts, a managed rangeland may hit an irreversible state in which it provides neither consumptive nor non-consumptive services to humans. Therefore, given a particular time based management regime, it is useful to know how long it takes for a rangeland to hit the...

Markets for natural resources and commodities are often oligopolistic. In these markets, production capacities are key for strategic interaction between the oligopolists. We analyze how different market structures influence oligopolistic capacity investments and thereby affect supply, prices and...

The paper develops a version of Pontryagin's maximum principle for optimal control problems with monotonicity constraints on control variables. Whereas the literature handles such constraints by imposing an assumption of piecewise smoothness on the control variable and treating the slope of this...

The utopia point of a multicriteria optimization problem is the vector that specifies for each criterion the most favourable among the feasible values. The Euclidean compromise solution in multicriteria optimization is a solution concept that assigns to a feasible set the alternative with...