The Nineveh Grain Store project is considered one of the important projects in the Ministry of Commerce/General Company for Grain Trade in general and Nineveh Governorate in particular. The research problem focused on the fact that many projects are slow and not completed on time, and the reason is the lack of keeping pace with the technological development of developed countries at the present time, which leads to delaying the duration of project completion, and this in turn leads to high costs and thus failure to complete the project on time.The main objective of this research is to use the Linear Programming (LP) method to formulate two mathematical models: the first is to obtain the project completion time (critical Path (CP)) for the Nineveh in normal time. The second is to build a mathematical model to find the desired time to complete the project in the crash time. The results of solving the mathematical model using the program (Win Q.S.b V2) demonstrated the efficiency and accuracy of this mathematical method and the program used and their importance in scheduling projects in general and the Nineveh Grain store project in particular in light of achieving the project goal and making the optimal decision.
Paper type: Research paper