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Tutorial 12 - Project Management (Extra) Student

Tutorial 12 - Project Management (Extra) Student -...

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CB2201 Sem B in 2012/2013 – TA1, TA3, TA4, TB5, TC4, TF4, TE3, TE4, TE5, TF1, and TF3 Activity Predecessor Days A 2 B 4 C A,B 3 D B 4 E 8 F C,E 2 CB2201 Final Topic: Project Management (with LP… ) (a) Using Linear Programming for Critical Path Analysis Use LP to determine the earliest start time (ES) for each activity and the earliest project completion time in a project network. Example: Preliminary consideration: Use Forward Pass to analyze the project network Start each activity as early as possible Objective 1 : Determine the earliest start time (ES) for each activity ES of the activity = Maximum EF of the required activity(s) Objective 2 : Determine the earliest project completion time The total project time = Maximum EF of the final activity(s) Q: To do the forward pass, what do we need to consider…? Starting Time for the project, ES for each activity, Finishing Time for the project Step 1: Construct the project network by using the AON network Step 2: Define the decision variables *Number of decision variables = Number of _____________ (including the ___________________) in a project network. Let _____ be the earliest _____________ time for a project _____ be the _____________ for the activity i (where i = A, B, C, D, E, F) _____ be the earliest _____________ time for a project Step3: Define the objective function Minimize the total project time, Z = _____________ Step4: Define the constraints *Number of constraints = Number of ______ in a project network, the Starting Time for the project and Non Negativity Subject to: (Precedence Relationship Format: ES for the following activity EF for the required activity) X Start = 0 X Start = 0 (Starting Time for the project) X ____ X Start + 0 X Start + X __ 0 (Start > A) X ____ X Start + 0 X Start + X __ 0 (Start > B) X ____ X Start + 0 X Start + X __ 0 (Start > E) X ____ X __ + __ X __ + X __ __ (A > C) X ____ X __ + __ => X __ + X __ __ (B > C) X ____ X __ + __ X __ + X __ __ (B > D) X ____ X __ + 3 X __ + X __ 3 (C > F) X ____ X __ + 8 X __ + X __ 8
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