Scheduling with Discretely Compressible Processing Times to Minimize Makespan

Shu Xia Zhang, Yu Zhong Zhang
2014 Applied Mechanics and Materials  
In this paper, we address the scheduling model with discretely compressible processing times, where processing any job with a compressed processing time incurs a corresponding compression cost. We consider the following problem: scheduling with discretely compressible processing times to minimize makespan with the constraint of total compression cost on identical parallel machines. Jobs may have simultaneous release times. We design a pseudo-polynomial time algorithm by approach of dynamic programming and an FPTAS.
doi:10.4028/www.scientific.net/amm.575.926 fatcat:6yka7jn44fdnvaonhj64ru3esi