Volume 20, Issue 3 (9-2023)
jor 2023, 20(3): 33-60 |
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Parchami Afra A, Kheirkhah A S. A Lagrangian Relaxation Algorithm for Integrated Resource-Constrained Multi-Project Scheduling and Material Ordering and Production Planning Problem. jor 2023; 20 (3) :33-60
URL: http://jamlu.liau.ac.ir/article-1-2170-en.html
URL: http://jamlu.liau.ac.ir/article-1-2170-en.html
Department of Industrial Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan, Iran
Abstract: (370 Views)
Resource-constrained project scheduling is one of the well-known problem in project management The integration of project scheduling, material ordering, and production planning of non-renewable resources leads to the coordination of project implementation and supplying resources. This coordination reduces total costs, including operating activities, production, ordering, holding, and penalty costs for late project completion. In this paper, a mixed integer programming model is presented for the resource-constrained multi-project scheduling problem and material ordering and production planning. The integrated mathematical model determines the decisions regarding the start time of activities, the quantity and time of materials ordering, and the production planning of suppliers. Due to the application of Lagrangian Relaxation algorithm in solving complex problems, this algorithm has been used to solve the proposed mathematical model. As a heuristic algorithm, the feasiblizer algorithm is also proposed for feasibilization of the solution obtained from the Lagrange Relaxation algorithm. To evaluate the performance of the proposed model and solution method, a set of sample examples is solved and the numerical results are given. The findings of this paper show the good performance of the model and the solution method and can provide managerial insights for project managers and resource suppliers.
Keywords: Resource-Constrained Multi Project Scheduling, Material Procurement, Material Ordering, Production Planning, Lagrangian Relaxation Algorithm
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