This study is an attempt to identify the minimum time of a construction project using the critical path method and linear programming model. A systematic analysis is attempted by developing a work breakdown structure for entire project to establish work elements for quantifying various resources against time and cost. A network is established taking into consideration all the predecessor and successor activities. The network is then optimized through crashing of activities so as to obtain optimal solution and serves as a base for optimizing total project cost. Finally, linear programming model is used to formulate the system of crashing network for minimum time by LINGO model and Microsoft Excel. These models consider many considerations of project thus reducing the duration of project. Ultimately, comparison of both the software outputs and the manual
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