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) = d_{2}y/dt_{2} = 2kae^{-at2}(1-2^{at2}) ---------(3)
Put a=1/2td_{2} and t=t_{d} in eq (1)
M(t) = 2kate^{-at2} = 2k*1/2t^{2}_{d} *t_{d} e^{-1/2t}_{d}^{2}*^{t}_{d}
= k/t_{d}e^{-1/2} = k/t_{d}e^{1/2}
M0 = k/t_{d}e^{1/2}
M0 = peak manning of a project .