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Complexity results for scheduling tasks in fixed intervals on two types of machines

Journal Article · · SIAM J. Comput.; (United States)
DOI:https://doi.org/10.1137/0211040· OSTI ID:5000959
Suppose that n independent tasks are to be scheduled without preemption on an unlimited number of parallel machines of two types: inexpensive slow machines and expensive fast machines. Each task requires a given processing time on a slow machine or a given smaller processing time on a fast machine. The authors make two different feasibility assumptions: (a) each task has a specified processing interval, the length of which is equal to the processing time on a slow machine; (b) each task has a specified starting time. For either problem type, they wish to find a feasible schedule of minimum total machine cost. It is shown that both problems are np-hard in the strong sense. These results are complemented by polynomial algorithms for some special cases. 17 references.
Research Organization:
Texas Technology Univ., Lubbock
OSTI ID:
5000959
Journal Information:
SIAM J. Comput.; (United States), Journal Name: SIAM J. Comput.; (United States) Vol. 3; ISSN SMJCA
Country of Publication:
United States
Language:
English

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