Table 3 Measures of withdrawal severity for the six withdrawal profiles tested

Equation 15

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)=0\hfill \end{array}\right\} \)

2883

107.77

Equation 15

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)={A}_{max}{e}^{-0.015\left(t-{t}_{withdraw}\right)}\hfill \end{array}\right\} \)

54.1

100.64

Equation 15

\( \left\{\begin{array}{c}\hfill t\ge 500\ \hfill \\ {}\hfill A(t)={A}_{max}\hfill \\ {}\hfill Step\ Down\ 0.1\ every\ 30\ hours\hfill \end{array}\right\} \)

2883

107.66

Equation 15

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)=0.5{A}_{max}-0.003\left(t-{t}_{withdraw}\right)\hfill \end{array}\right\} \)

260.5

101.38

Equation 15

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)=0.75{A}_{max}-0.003\left(t-{t}_{withdraw}\right)\hfill \end{array}\right\} \)

157.3

101.38

Equation 15

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)={A}_{max}-0.003\left(t-{t}_{withdraw}\right)\hfill \end{array}\right\} \)

19.3

101.11