Generalized polymatroids and submodular flows
Mathematical Programming: Series A and B
Information Processing Letters
A survey of results for sequencing problems with controllable processing times
Discrete Applied Mathematics - Southampton conference on combinatorial optimization, April 1987
About strongly polynomial time algorithms for quadratic optimization over submodular constraints
Mathematical Programming: Series A and B
Open Shop Scheduling to Minimize Finish Time
Journal of the ACM (JACM)
Open shop scheduling problems with late work criteria
Discrete Applied Mathematics
Multicriteria Scheduling: Theory, Models and Algorithms
Multicriteria Scheduling: Theory, Models and Algorithms
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We consider a two-machine open shop problem in which the job processing times are controllable and can be compressed while incurring additional costs. We show that the problem of minimizing a linear compression cost function for a given upper bound on the makespan can be solved in O(n) time. For the bicriteria problem of minimizing the makespan and compression cost, we propose an O(nlogn) algorithm that finds all breakpoints of the efficient frontier.