Linear Programming Techniques for Network Project Management

      In this work, Linear Programming Problems have been implemented to build four linear models for projects management. An Interior – Point Method has been implemented to solve such linear models, instead of using the usual techniques "Simplex Method", by implementing the "what's Best 9.0 " software, and obtaining the critical path in minimum completion time, minimum crashing cost and optimal total ( direct & indirect ) costs for a simple real project. Then we are verified the results obtained by implementing " Project 2000 " software to construct the project network and obtain the same critical path.  Finally, the Programming Evaluation Review Technique (PERT) has been used, to find the probabilities of completing the project.