Table 8.

Adjustment Factors.

From Eq. (3.7.22)

${\mathcal{A}}_{M,V}=\stackrel{\sim }{n}\left(1+{ℱ}_{\mathit{tgf},V}^M\stackrel{\sim }{\mathit{tgf}}\right)\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_h\right)$

${\mathcal{A}}_{A,V}=\left(1-{ℱ}_{\mathit{tgf},V}^A\stackrel{\sim }{\mathit{tgf}}\right)\left(1-{ℱ}_{E,V}^A{\stackrel{\sim }{\varphi }}_E\right)$

${\mathcal{A}}_{N,V}=1-\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,V}\right)\mathscr{H}\left(\stackrel{\sim }{g}-{\stackrel{\sim }{g}}_{v,V}\right)$

${\mathcal{A}}_{B,V}={ℱ}_{B,V}^{\mathit{met}}{Q}_3\left(1-\frac{\stackrel{\sim }{p}}{{\stackrel{\sim }{p}}_{t,B}}\right)\mathscr{H}\left({\stackrel{\sim }{p}}_{t,B}-\stackrel{\sim }{p}\right)$

where ${ℱ}_{B,V}^{\mathit{met}}=Q_3\left(\frac{\stackrel{\sim }{\ell }}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}}\right)Q_3\left(\stackrel{\sim }{B}\right)$

${\mathcal{A}}_{L,V}={ℱ}_{L,V}^{\mathit{met}}{Q}_3\left(1-\frac{\stackrel{\sim }{p}}{{\stackrel{\sim }{p}}_{t,L}}\right)\mathscr{H}\left({\stackrel{\sim }{p}}_{t,L}-\stackrel{\sim }{p}\right)$

where ${ℱ}_{L,V}^{\mathit{met}}=Q_3\left(\frac{\stackrel{\sim }{\ell }}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}}\right)Q_3\left(\stackrel{\sim }{L}\right)$

${\mathcal{A}}_{de,V}=Q_3\left(\frac{\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,V}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,V}}\right)Q_3\left(\frac{\stackrel{\sim }{g}-{\stackrel{\sim }{g}}_{v,V}}{{\stackrel{\sim }{g}}_{de,v}-{\stackrel{\sim }{g}}_{v,V}}\right)\left(1+{ℱ}_{\mathit{tgf},V}^{de}\stackrel{\sim }{\mathit{tgf}}\right)\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,V}\right)\mathscr{H}\left({\stackrel{\sim }{g}}_{de,V}-\stackrel{\sim }{g}\right)\mathscr{H}\left(\stackrel{\sim }{g}-{\stackrel{\sim }{g}}_{v,V}\right)$

From Eq. (3.7.22)

${\mathcal{A}}_{L,D}=1$

From Eq. (3.7.22)

${\mathcal{A}}_{V,E}=\left(1-{\stackrel{\sim }{\varphi }}_E\right)\left[1+{ℱ}_{n,E}^V\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,V}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,V}\right)$

${\mathcal{A}}_{B,E}=\left(1-{\stackrel{\sim }{\varphi }}_E\right)\left[1+{ℱ}_{n,E}^B\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,B}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,B}\right)$

${\mathcal{A}}_{L,E}=\left(1-{\stackrel{\sim }{\varphi }}_E\right)\left[1+{ℱ}_{n,E}^L\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,L}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,L}\right)$

${\mathcal{A}}_{F,E}=\left(1-{\stackrel{\sim }{\varphi }}_E\right)\left[1+{ℱ}_{n,E}^F\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,F}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,F}\right)$

${\mathcal{A}}_{de,E}=\stackrel{\sim }{m}$

From Eqs. (3.7.26)

${\mathcal{A}}_{B,n}=\left(\stackrel{\sim }{B}\right)Q_3\left(1-\frac{\stackrel{\sim }{p}}{{\stackrel{\sim }{p}}_{t,B}}\right)\mathscr{H}\left({\stackrel{\sim }{p}}_{t,B}-\stackrel{\sim }{p}\right)={\mathcal{A}}_B$

${\mathcal{A}}_{U,V,n}={\stackrel{\sim }{\varphi }}_V$

${\mathcal{A}}_{U,H,n}={\stackrel{\sim }{\varphi }}_H$

${\mathcal{A}}_{B,g}={\mathcal{A}}_B$

${\mathcal{A}}_{U,V,g}={\stackrel{\sim }{\varphi }}_V$

${\mathcal{A}}_{U,H,g}={\stackrel{\sim }{\varphi }}_H$

${\mathcal{A}}_{B,w}={\mathcal{A}}_B$

${\mathcal{A}}_{B,\ell }={\mathcal{A}}_B$

From Eq. (3.7.33)

${\mathcal{A}}_{V,\mathit{tgf}}={\stackrel{\sim }{\varphi }}_V$

${\mathcal{A}}_{B,\mathit{tgf}}=\stackrel{\sim }{B}\left[1+{ℱ}_{n,\mathit{tgf}}^B\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,B}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\left[1+{ℱ}_{\ell ,\mathit{tgf}}^B\frac{\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}}\mathscr{H}\left(\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,B}\right)$

${\mathcal{A}}_{L,\mathit{tgf}}=\stackrel{\sim }{L}\left[1+{ℱ}_{n,\mathit{tgf}}^L\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,L}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\left[1+{ℱ}_{\ell ,\mathit{tgf}}^L\frac{\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}}\mathscr{H}\left(\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,L}\right)$

${\mathcal{A}}_{F,\mathit{tgf}}=\stackrel{\sim }{F}\left[1+{ℱ}_{n,\mathit{tgf}}^F\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,F}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\left[1+{ℱ}_{\ell ,\mathit{tgf}}^F\frac{\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}}\mathscr{H}\left(\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{tgf}}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,F}\right)$

${\mathcal{A}}_{U,V,\mathit{tgf}}={\stackrel{\sim }{\varphi }}_V$

From Eq. (3.7.33)

${\mathcal{A}}_{V,\mathit{taf}}={\stackrel{\sim }{\varphi }}_V\left[1+{ℱ}_{n,\mathit{taf}}^V\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,V}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,V}\right)\mathit{where}{ℱ}_{\ell ,\mathit{taf}}^V=0$

${\mathcal{A}}_{B,\mathit{taf}}=\stackrel{\sim }{B}\left[1+{ℱ}_{n,\mathit{taf}}^B\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,B}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\left[1+{ℱ}_{\ell ,\mathit{taf}}^B\frac{\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{taf}}}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}-{\stackrel{\sim }{\ell }}_{\mathit{taf}}}\mathscr{H}\left(\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{taf}}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,B}\right)$

${\mathcal{A}}_{L,\mathit{taf}}=\stackrel{\sim }{L}\left[1+{ℱ}_{n,\mathit{taf}}^L\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,L}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\left[1+{ℱ}_{\ell ,\mathit{taf}}^L\frac{\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{taf}}}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}-{\stackrel{\sim }{\ell }}_{\mathit{taf}}}\mathscr{H}\left(\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{taf}}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,L}\right)$

${\mathcal{A}}_{F,\mathit{taf}}=\stackrel{\sim }{F}\left[1+{ℱ}_{n,\mathit{taf}}^F\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,F}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\left[1+{ℱ}_{\ell ,\mathit{taf}}^F\frac{\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{taf}}}{{\stackrel{\sim }{\ell }}_{\mathit{sat}}-{\stackrel{\sim }{\ell }}_{\mathit{taf}}}\mathscr{H}\left(\stackrel{\sim }{\ell }-{\stackrel{\sim }{\ell }}_{\mathit{taf}}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,F}\right)$

From Eq. (3.7.33)

${\mathcal{A}}_{V,m}={\stackrel{\sim }{\varphi }}_V$

${\mathcal{A}}_{F,m}=\stackrel{\sim }{F}\left[1+{ℱ}_{n,m}^F\frac{{\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}}{{\stackrel{\sim }{n}}_h-{\stackrel{\sim }{n}}_{v,F}}\mathscr{H}\left({\stackrel{\sim }{n}}_h-\stackrel{\sim }{n}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,F}\right)$

From Eq. (3.7.33)

${\mathcal{A}}_{M,FE}=\left(1-F_E\right)Q_3\left(\frac{\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_h}{1-{\stackrel{\sim }{n}}_h}\right)\left[1+{ℱ}_{\mathit{tgf},F}^M\stackrel{\sim }{\mathit{tgf}}\mathscr{H}\left(\stackrel{\sim }{\mathit{tgf}}-{\stackrel{\sim }{\mathit{tgf}}}_{FE}\right)\right]\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_h\right)$

${\mathcal{A}}_{N,FE}=1-\mathscr{H}\left(\stackrel{\sim }{n}-{\stackrel{\sim }{n}}_{v,F}\right)\mathscr{H}\left(\stackrel{\sim }{g}-{\stackrel{\sim }{g}}_{v,F}\right)$

${\mathcal{A}}_{A,F,E}=1$

From Eqs. (3.7.37)

${\mathcal{A}}_{\mathit{che},\mathit{BnE}}={ℱ}_{Bn}$ where the effect of TAF is not considered.

${\mathcal{A}}_{\mathit{hap},\mathit{BnE}}=\{\begin{array}{cc}{\stackrel{\sim }{\mathrm{\omega }}}_{Bn}{ℱ}_{Bn}& {\stackrel{\sim }{\varphi }}_E<{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{min},Bn}\mathit{and}{\stackrel{\sim }{\varphi }}_E>{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Bn}\\ \left[\left(1-{\stackrel{\sim }{\mathrm{\omega }}}_{Bn}\right){\mathit{Q}}_4\left(\frac{{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Bn}-{\stackrel{\sim }{\varphi }}_E}{{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Bn}-{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{min},Bn}}\right)+{\stackrel{\sim }{\mathrm{\omega }}}_{Bn}\right]{ℱ}_{Bn}& {\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{min},Bn}\le {\stackrel{\sim }{\varphi }}_E\le {\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Bn}\end{array}$

where ${\stackrel{\sim }{\mathrm{\omega }}}_{Bn}=\frac{{\stackrel{\sim }{\chi }}_{\mathit{hap},Bn}^{\mathit{min}}}{{\stackrel{\sim }{\chi }}_{\mathit{hap},Bn}}$

${\mathcal{A}}_{\mathit{che},\mathit{LnE}}={ℱ}_{Ln}$ where the effect of TAF is not considered.

${\mathcal{A}}_{\mathit{hap},\mathit{LnE}}=\{\begin{array}{cc}{\stackrel{\sim }{\mathrm{\omega }}}_{Ln}{ℱ}_{Ln}& {\stackrel{\sim }{\varphi }}_E<{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{min},Ln}\mathit{and}{\stackrel{\sim }{\varphi }}_E>{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Ln}\\ \left[\left(1-{\stackrel{\sim }{\mathrm{\omega }}}_{Ln}\right){\mathit{Q}}_4\left(\frac{{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Ln}-{\stackrel{\sim }{\varphi }}_E}{{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Ln}-{\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{min},Ln}}\right)+{\stackrel{\sim }{\mathrm{\omega }}}_{Ln}\right]{ℱ}_{Ln}& {\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{min},Ln}\le {\stackrel{\sim }{\varphi }}_E\le {\left({\stackrel{\sim }{\varphi }}_E\right)}_{\mathit{max},Ln}\end{array}$

where ${\stackrel{\sim }{\mathrm{\omega }}}_{Ln}=\frac{{\stackrel{\sim }{\chi }}_{\mathit{hap},Ln}^{\mathit{min}}}{{\stackrel{\sim }{\chi }}_{\mathit{hap},Ln}}$

From Eqs. (3.7.38)

${\mathcal{A}}_{m,\mathit{BnE}}={ℱ}_{Bn}\left(1-{ℱ}_{lg,Bn}{\stackrel{\sim }{B}}_n^E\right)Q_3\left(\frac{\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Bn}}{1-{\stackrel{\sim }{\mathit{taf}}}_{Bn}}\right)\mathscr{H}\left(\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Bn}\right)$

${\mathcal{A}}_{de,\mathit{BnE}}={ℱ}_{Bn}{Q}_3\left(\frac{\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Bn}}{1-{\stackrel{\sim }{\mathit{taf}}}_{Bn}}\right)\mathscr{H}\left(\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Bn}\right)$

${\mathcal{A}}_{as,\mathit{BnE}}={ℱ}_{Bn}{Q}_3\left(\frac{\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Bn}}{1-{\stackrel{\sim }{\mathit{taf}}}_{Bn}}\right)\mathscr{H}\left(\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Bn}\right)$

${\mathcal{A}}_{\mathit{crush},\mathit{BnE}}=\mathscr{H}\left(\stackrel{\sim }{p}-{\stackrel{\sim }{p}}_{c,Bn}\right)$

${\mathcal{A}}_{m,\mathit{LnE}}={ℱ}_{Ln}\left(1-{ℱ}_{lg,Ln}{\stackrel{\sim }{L}}_n^E\right)Q_3\left(\frac{\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Ln}}{1-{\stackrel{\sim }{\mathit{taf}}}_{Ln}}\right)\mathscr{H}\left(\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Ln}\right)$

${\mathcal{A}}_{de,\mathit{LnE}}={ℱ}_{Ln}{Q}_3\left(\frac{\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Ln}}{1-{\stackrel{\sim }{\mathit{taf}}}_{Ln}}\right)\mathscr{H}\left(\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Ln}\right)$

${\mathcal{A}}_{as,\mathit{LnE}}={ℱ}_{Ln}{Q}_3\left(\frac{\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Ln}}{1-{\stackrel{\sim }{\mathit{taf}}}_{Ln}}\right)\mathscr{H}\left(\stackrel{\sim }{\mathit{taf}}-{\stackrel{\sim }{\mathit{taf}}}_{Ln}\right)$

${\mathcal{A}}_{\mathit{crush},\mathit{LnE}}=\mathscr{H}\left(\stackrel{\sim }{p}-{\stackrel{\sim }{p}}_{c,Ln}\right)$