Linear-time approximation algorithms for minimum subset sum and subset sum

We present a linear-time approximation algorithm for minimum subset sum, which has better worst-case approximation factor (6/5) than previous linear-time algorithms for this problem. We also present a generalization of the scheme used to derive the algorithm, which can be used to obtain algorithms with approximation ratios of (k+1)/k. In addition, we present a family … Read more

Scheduling on uniform nonsimultaneous parallel machines

We consider the problem of scheduling on uniform processors with nonsimultaneous machine available times with the purpose of mini\-mi\-zing the maximum completion time. We give a variant of the Multifit algorithm which generates schedules which end within $1.382$ times the optimal maximum completion times. This results from properties of the Multifit algorithm when used for … Read more