The proposed procedure is able to solve complex allocation problems such as the spatio-temporal allocation of a budget among more than two areas with spatially differing species-specific cost and benefit functions of any shapes.
Benefits function of DisCo and DGO are optimized simultaneously in a multi-objective optimization framework.
This paper proposes a multi-objective benefit function for operation of active distribution systems considering demand response program (DRP) and energy storage system (ESS).
Increasingly, the utility and cost-effectiveness of health interventions, including screening programs, is assessed through direct modelling of the costs (financial expenses, risks of harm etc) and the benefits (functions of screening tool accuracy, disease prevalence and the scope for disease prevention and treatment) of competing strategies [ 21- 23].
The claim that transfer of WTP adjusted by the benefit function outperforms transfers of unadjusted or simple income-adjusted WTP is rejected for this particular study.
As we have shown, the details of the benefit function, diffusion range, cost of production, and update rule that drive the dynamics of growth factor production are critical to determine the type of dynamics and equilibria.
The frequency of the two types, or the extinction of the +/+ type, depends on the diffusion range (d), the cost of growth factor production (c), the position of the inflection point of the benefit function (h), and the steepness of the benefit function (s), the update rule and the initial frequency of the two types, as described below.
The relative importance of these two effects depends on the shape of the benefit function, that is on the value of s (the steepness of the benefit function), and on the cost of production (c): low s and c favor the stability of the mixed equilibrium, whereas high s and c make the mixed equilibrium less robust to random fluctuations.
First we study the effect of the benefit function shape on the level of cooperation in the population by means of IBM simulations (see Methods).
Note that the evolution of resistance is, therefore, more likely for low values of c (the production cost) and s (the steepness of the benefit function).
