q drive an expression for peak manning of a

Question

Q. Drive an expression for peak manning of a project using Nordes - Rayleigh equation .

Ans Norden Rayleigh curve utilized to approximate software project .

M(t) =Man power utilization

= dy/dt = 2kate^-at2 -------------(1)

K = Area under the curve t=time

Integrating eg . (1) with respect to t

Y(t) = k[1-e^-at2] ----------------(2)

Differentiating eq (1) with respect to t

M'(t) = d₂y/dt₂ = 2kae^-at2(1-2^at2) ---------(3)

Put a=1/2td₂ and t=t_d in eq (1)

M(t) = 2kate^-at2 = 2k*1/2t²_d *t_d e^-1/2t_d²*^t_d

= k/t_de^-1/2 = k/t_de^1/2

M0 = k/t_de^1/2

M0 = peak manning of a project .