In this paper we develop a heuristic algorithm, based on Scatter Search, for project scheduling problems under partially renewable resources. This new type of resource can be viewed as a generalization of renewable and non-renewable resources, and is very helpful in modelling conditions that do no fit into classical models, but which appear in real timetabling and labor scheduling problems. The...

The aim of this article is to review issues related to the incorporation of scarce natural resources in the theory of economic growth and development. More specifically, we shall concentrate on the role of non-renewable resources. A nonrenewable resource is a natural resource the amount of which on earth is finite and which has no natural regeneration process (at least not within a relevant tim...

The paper studies a generalisation of the dynamic Leontief input-output model. The standard dynamic Leontief model will be extended with the balance equation of renewable resources. The renewable stocks will increase regenerating and decrease exploiting primary natural resources. In this study the controllability of this extended model is examined by taking the consumption as the control parame...

Butanol, butyric acid and butyraldehyde are important 4-carbon oxychemicals typically generated from petro-chemical sources. All have significant markets in the food industry either for direct use as flavorings or as chemical feedstocks for generating butyric acid and butyraldehyde derived flavour compounds. Strong consumer sentiment against the consumption of petro-chemical derived products yi...

We consider both discrete and continuous control problems constrained by a fixed budget of some resource, which may be renewed upon entering a preferred subset of the state space. In the discrete case, we consider both deterministic and stochastic shortest path problems with full budget resets in all preferred nodes. In the continuous case, we derive augmented PDEs of optimal control, which are...

Recent interest in the utilisation of greener materials has reinitiated the interest in natural fibres and/or fibrils as reinforcement for polymers. However, such bio-based composites often exhibit properties that fall short of expectations due to (i) inadequate processing conditions, resulting in filler agglomeration and poor filler dispersion within the matrix, (ii) variations in natural fibr...

The paper contributes to the topic of optimal utilization of spatially distributed renewable resources. Namely, a problem of “sustainable” optimal cyclic exploitation of a renewable resource with logistic law of recovery is investigated. The resource is distributed on a circle and is collected by a single harvester moving along the circle. The recovering and harvesting rates are position-depend...