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Operations Research




                    Notes          Preceding and Succeeding Activities

                                   Activities performed before given events are known as preceding activities (Figure 12.4), and
                                   activities performed after a given event are known as succeeding activities.

                                                     Figure  12.4: Preceding  and  Succeeding  Activities

                                                               A                 C
                                                      i                  j                 l




                                                        B
                                                                                     D
                                                                         k


                                   Activities A and B precede activities C and D respectively.

                                   Dummy Activity

                                   An imaginary activity which does not  consume any resource and  time is called a dummy
                                   activity. Dummy activities are simply used to represent a connection between events in order to
                                   maintain a logic in the network. It is represented by a dotted line in a network, see Figure 12.5.

                                                             Figure  12.5: Dummy  Activity




                                                             A               B
                                                                                          Dummy
                                                                            C





                                   Errors to be avoided in Constructing a Network

                                   1.  Two activities starting from a tail event must not have a same end event. To ensure this, it
                                       is absolutely necessary to introduce a dummy activity, as seen in Figure 12.6.
                                                       Figure  12.6: Correct  and Incorrect  Activities


                                                                                                  3



                                                                                                   Dummy


                                                                                    1             2

                                                              Incorrect                   Correct




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