An Efficient PTAS for Parallel Machine Scheduling with Capacity Constraints

• Published in: Combinatorial Optimization and Applications Vol. 10043; pp. 608 - 623
• Main Authors: Chen, Lin, Jansen, Klaus, Luo, Wenchang, Zhang, Guochuan
• Format: Book Chapter
• Language: English
• Published: Switzerland Springer International Publishing AG 2016; Springer International Publishing
• Series: Lecture Notes in Computer Science
• Subjects: Algorithms & data structures; Approximation algorithms; Capacity constraints; Discrete mathematics; Integer programming; Mathematical theory of computation; Scheduling

In this paper, we consider the classical scheduling problem on parallel machines with capacity constraints. We are given m identical machines, where each machine k can process up to $$c_k$$ jobs. The goal is to assign the $$n\le \sum _{k=1}^{m}c_k$$ independent jobs on the machines subject to the ca...