Page 252 - DCOM303_DMGT504_OPERATION_RESEARCH
P. 252

Unit 12: Critical Path Method and PERT




                                                                                                Notes
                                    Figure  12.19: Network  Diagram

                                         6   7


                                          2                              14  14
                                                               6
                                         6    2     5                  6

               0   0

                                 9                      10
                           1              4                                  7


                                                            7                22  22

                                 4
                                                               5        4


                                          3        8
                                                                   12  8

                                              4   2

                               Table 12.8:  Time Estimates  for R&D  Project

                 Activity    Activity Name       T0              tm            tp
                   I–j                                        ( in days)
                   1-2            A              4               6             8
                   1-3            B              2               3            10
                   1-4            C              6               8            16
                   2-4            D              1               2             3
                   3-4            E              6               7             8
                   3-5            F              6               7            14
                   4-6            G              3               5             7
                   4-7            H              4               11           12
                   5-7            I              2               4             6
                   6-7            J              2               6            10

          1.   Draw the project network.
          2.   Find the critical path.
          3.   Find the probability that the project is completed in 19 days. If the probability is less that
               20%, find the probability of completing it in 24 days.












                                           LOVELY PROFESSIONAL UNIVERSITY                                   247
   247   248   249   250   251   252   253   254   255   256   257