Heuristics for unrelated machine scheduling with precedence constraints

In this paper, we consider the problem of scheduling tasks on unrelated parallel machines. Precedence constraints between the tasks form chains of tasks. We propose a number of heuristics in order to find near optimal solutions to the problem. Empirical results show that the heuristics are able to find very good approximate solutions.

[1]  Jeffrey D. Ullman,et al.  NP-Complete Scheduling Problems , 1975, J. Comput. Syst. Sci..

[2]  Joseph Y.-T. Leung,et al.  Scheduling Chain-Structured Tasks to Minimize Makespan and Mean Flow Time , 1991, Inf. Comput..

[3]  Ronald L. Graham,et al.  Bounds for certain multiprocessing anomalies , 1966 .

[4]  D.J. Hoitomt,et al.  Scheduling jobs with simple precedence constraints on parallel machines , 1990, IEEE Control Systems Magazine.

[5]  T.C.E. Cheng,et al.  A state-of-the-art review of parallel-machine scheduling research , 1990 .

[6]  Oscar H. Ibarra,et al.  Heuristic Algorithms for Scheduling Independent Tasks on Nonidentical Processors , 1977, JACM.

[7]  Jeffrey M. Jaffe,et al.  Algorithms for Scheduling Tasks on Unrelated Processors , 1981, JACM.

[8]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[9]  C. N. Potts,et al.  Analysis of a linear programming heuristic for scheduling unrelated parallel machines , 1985, Discret. Appl. Math..

[10]  Steef L. van de Velde.  Duality-Based Algorithms for Scheduling Unrelated Parallel Machines , 1993, INFORMS J. Comput..

[11]  Jan Karel Lenstra,et al.  Approximation algorithms for scheduling unrelated parallel machines , 1987, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987).

[12]  Cecilia R. Aragon,et al.  Optimization by Simulated Annealing: An Experimental Evaluation; Part I, Graph Partitioning , 1989, Oper. Res..

[13]  F. Darema,et al.  Parallel Algorithms for Chip Placement by Simulated Annealing , 1987, IBM J. Res. Dev..

[14]  Chris N. Potts,et al.  Heuristics for scheduling unrelated parallel machines , 1991, Comput. Oper. Res..