Sharif University of Technology Scientia Iranica 1026-3098 16 1 2009 01 01 A branch and bound algorithm for the weighted earliness-tardiness project scheduling problem with generalized precedence relations 3198 EN B. Afshar Nadjafi Department of Industrial Engineering,Sharif University of Technology S. Shadrokh Department of Industrial Engineering,Sharif University of Technology Journal Article 2009 06 29 Abstract We present an exact solution procedure for the weighted earliness-tardiness project scheduling problem (WETPSP) with generalized precedence relations (WETPSP-GPR), taking into account time value of money (WETPSPDC-GPR) and a fixed deadline for the project. The WETPSP-GPR extends the WETPSP to arbitrary minimal and maximal time-lags between the starting and completion times of activities. We present a new depth-first branch and bound (B&B) algorithm for extended form of the problem, which time value of money is taken into account by discounting the cash flows and minimum as well as maximum time-lags between different activities may be given. The algorithm is extended with two bounding rules in order to reduce the size of the branch and bound tree. Finally, some test problems are solved and computational results are reported. https://scientiairanica.sharif.edu/article_3198_590c871308799833506263cdd4d4f8b2.pdf