# Model Mathematics

### Component: F_CE

$F_CE=f_L_CE⁢g_V_CE⁢a$

### Component: f_L_CE

$f_L_CE=F_max⁢1⁢1-L_CE-L_CE_opt2W2⁢L_CE_opt2$

### Component: g_V_CE

$g_V_CE=lambda_a⁢V_max+V_CElambda_a⁢V_max-V_CEAifV_CE≦0g_max⁢V_CE+d1V_CE+d1if0gamma⁢d1$

### Component: d1

$d1=V_max⁢A⁢g_max-1S⁢A+1$

### Component: d2

$d2=S⁢A+1V_max⁢A⁢gamma+12$

### Component: d3

$d3=g_max-1⁢gamma2gamma+12+1$

### Component: F_SEE

$F_SEE=0ifL_SEE≦L_slackk_SEE⁢L_SEE-L_slack2otherwise$

### Component: F_PEE

$F_PEE=0ifL_CE≦L_slackk_PEE⁢L_CE-L_slack2otherwise$

### Component: k_PEE

$k_PEE=F_maxW⁢L_CE_opt2$

### Component: V_CE

$V_CE=1⁢1g_V_CE⁢F_SEE⁢L_m-L_CE-F_PEE⁢L_CEa⁢f_L_CE$

### Component: F_m

$F_m=F_SEE$

### Component: lambda_a

$lambda_a=1⁢1-ⅇ-3.82⁢a+a⁢ⅇ-3.82$

### Component: L_CE

$ddtimeL_CE=1⁢V_CE$

### Component: L_SEE

$L_SEE=L_m-L_CE$

### Component: L_m

$L_m=0.038iftime≦10.038+0.002⁢time-1iftime>1∧time<20.04otherwise$
Source
Derived from workspace Mclean, Su, Vandenbogert, 2003 at changeset feaf3ec4af91.
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