Define PERT. A small project is composed of 7 activities whose time e…

Previous year question for Optimisation Techniques.

Question

Define PERT. A small project is composed of 7 activities whose time estimates are listed below. Activities are being identified by their beginning (i) and ending (j) node numbers.

Activities:

i = 1, j = 2, t_o = 1, t_i = 1, t_p = 7

i = 1, j = 3, t_o = 1, t_i = 4, t_p = 7

i = 1, j = 4, t_o = 2, t_i = 2, t_p = 8

i = 2, j = 5, t_o = 1, t_i = 1, t_p = 1

i = 3, j = 5, t_o = 2, t_i = 5, t_p = 14

i = 4, j = 6, t_o = 2, t_i = 5, t_p = 8

i = 5, j = 6, t_o = 3, t_i = 6, t_p = 15

(a) Draw the network, (b) Calculate the expected variances for each, (c) Find the expected project completed time & (d) Calculate the probability that the project will be completed at least 3 weeks than expected.

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