Drive an expression for peak manning of a project, Software Engineering

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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(1-2at2) ---------(3)

Put a=1/2td2 and t=td in eq (1)

M(t) = 2kate-at2 = 2k*1/2t2d *td e-1/2td2*td

= k/tde-1/2 = k/tde1/2

M0 = k/tde1/2

M0 = peak manning of a project .


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