However, it cannot directly treat input excesses and output shortages, which are termed "slacks".
A DMU is BCC efficient if it has no input excesses and no output shortfalls.
{boldsymbol{x}}_i=Xboldsymbol{lambda} +{boldsymbol{s}}^hfill kern2em {mathbf{y}}_i^g={Y}^gboldsymbol{uplambda} -{mathbf{s}}^ghfill kern2em {mathbf{s}}^,{mathbf{s}}^g,boldsymbol{uplambda} ge mathbf{0},hfill end{array} (1 where s − ∈ R k and s g ∈ R m denote the input excesses and output shortfalls, respectively.
The CRS values are the average efficiency scores while the VRS figures depict the average input excesses that need to be reduced or output targets required to enhance efficiency levels in inefficient facilities.
Elevated levels of primary production brought about by the input of excess plant nutrients, principally phosphates and nitrates, into inland waters following agricultural and urban development of catchments (known as eutrophication), can also be harmful.
Results showed increases in nitrate leaching only in response to high rates of N input, in excess of 96 and 136 kg total N input ha−1 yr−1 for the organic Oh horizon and mineral Eag horizon, respectively.
Fertilizer K input in excess of plant requirements often has been found to persist in soil for years after application, improving the soil K status (Yu et al. 2009; Zhang et al. 2011).
Considering both the results from the soil column experiment and the after harvest leaching study, the effect of a K input in excess of plant requirements apparently varies dependent of soil type.
This scenario is in line with the notion that the input of excess fatty acids from the diet is equilibrated through the prioritization of the fatty acid oxidation versus lipogenesis in fatty liver.
Some flame instability problems were though registered, especially for one of the catalytic burner mattresses employed, at low specific power inputs and excesses of air (<375 kW/m2 and <12%, respectively).
