Approximation algorithms for scheduling unrelated parallel machines
Mathematical Programming: Series A and B
Scheduling Parallel Machines On-line
SIAM Journal on Computing
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Optimal and online preemptive scheduling on uniformly related machines
Journal of Scheduling
Scheduling of uniform parallel machines with s-precedence constraints
Mathematical and Computer Modelling: An International Journal
Algorithms with limited number of preemptions for scheduling on parallel machines
Journal of Combinatorial Optimization
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In a recent paper, Chekuri and Bender (Proceedings of IPCO'98, pp. 383-393) derive (among other results) a polynomial-time 6-approximation algorithm for makespan minimization on uniform parallel machines subject to chain-type precedence constraints. In this short note, we combine some straightforward observations and thereby derive an extremely simple 2-approximation algorithm for this problem.