Approximation Algorithms for Stochastic Machine Scheduling with Precedence Constraints
نویسندگان
چکیده
We consider parallel, identical machine scheduling problems where the jobs are subject to precedence constraints, release dates, and the processing times of jobs are governed by independent probability distributions. The objective is to minimize the expected value of the total weighted completion time ∑w j C j , where w j 0. Building upon a linear programming relaxation by Möhring, Schulz, and Uetz [5] and an idle time charging scheme by Chekuri, Motwani, Natarajan, and Stein [2], we derive the first approximation algorithms for this model.
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