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Operations Research, Systems Engineering and Industrial Engineering Commons

Open Access. Powered by Scholars. Published by Universities.®

Operational Research

University of Mississippi

2014

Lagrangian Relaxation

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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering

Relaxation Adaptive Memory Programming For The Resource Constrained Project Scheduling Problem, Robert Christopher-Lee Riley Jan 2014

Relaxation Adaptive Memory Programming For The Resource Constrained Project Scheduling Problem, Robert Christopher-Lee Riley

Electronic Theses and Dissertations

The resource constrained project scheduling problem (RCPSP) is one of the most intractable problems in operations research; it is NP-hard in the strong sense. Due to the hardness of the problem, exact solution methods can only tackle instances of relatively small size. For larger instances commonly found in real applications heuristic solution methods are necessary to find near-optimal solutions within acceptable computation time limits. In this study algorithms based on the relaxation adaptive memory programming (RAMP) method (Rego, 2005) are developed for the purpose of solving the RCPSP. The RAMP algorithms developed here combine mathematical relaxation, including Lagrangian relaxation and …