Bicriteria network design problems
Journal of Algorithms
A unified approach to approximating resource allocation and scheduling
Journal of the ACM (JACM)
Real-time scheduling with a budget
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Strongly polynomial-time approximation for a class of bicriteria problems
Operations Research Letters
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We are given a set of jobs each has a processing time, a non-negative weight, a set of possible time intervals in which it can be processed and a cost. The goal is to schedule a feasible subset S of the jobs on a single machine such that the total weight of S is maximized, and the total cost of S is within a given budget. Using Megiddo's parametric method we improve an earlier algorithm that is based on applying binary search.