# Scheduling Project Crashing Time using Linear Programming Technique and tread -off

May 14th, 2015
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In this paper, some concepts of linear programming and critical path method were reviewed to describe recent modeling structures that have been of great value in analyzing extended planning horizon project time-cost crashes problems. A simplified representation of a small project and a linear programming model was formulated to represent this system. Procedures to solve these various problems formulations were cited and the final solution was obtained by using LINDO program. The model developed represents many restrictions and management considerations of the project. It could be used by construction managers in a planning stage to explore numerous possible opportunities to the contractor and predict the effect of a decision on the construction to facilitate a preferred operating policy given different management objectives. An implementation using this method was shown to outperform several other techniques and a large class of test problems. Linear programming shows that the algorithm

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Proceedings of the 2012 International Conference on Industrial Engineering and Operations ManagementIstanbul, Turkey, July 3 6, 2012Scheduling Project Crashing Time using Linear ProgrammingTechniqueOmar M. ElmabroukDepartment of Industrial and Manufacturing System EngineeringBenghazi University, Benghazi-LibyaAbstractIn this paper, some concepts of linear programming and critical path method were reviewed to describe recentmodeling structures that have been of great value in analyzing extended planning horizon project time-cost crashesproblems. A simplified representation of a small project and a linear programming model was formulated torepresent this system. Procedures to solve these various problems formulations were cited and the final solution wasobtained by using LINDO program. The model developed represents many restrictions and managementconsiderations of the project. It could be used by construction managers in a planning stage to explore numerouspossible opportunities to the contractor and predict the effect of a decision on the construction to facilitate apreferred operating policy given different management objectives. An implementation using this method was shownto outperform several other techniques and a large class of test problems. Linear programming shows that thealgorithm is very promising in practice on a wide variety of time-cost crashes problems. This method is simple,applicable to a large network, and generates a shorter computati

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