On single machine scheduling with resource constraint

Lidong Wu () and Cong-Dian Cheng ()
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Lidong Wu: University of Texas at Dallas
Cong-Dian Cheng: Shenyang Normal University

Journal of Combinatorial Optimization, 2016, vol. 31, issue 2, No 3, 505 pages

Abstract: Abstract The single machine scheduling with resource constraint is a nonlinear combinatorial optimization problem in cloud computing applications. Given a set of jobs and certain resource, the problem is to find a permutation of jobs and a distribution of resource to optimize certain objective function. The processing time of each job is a nonlinear function with respect to the resource assigned to it. In this paper, we propose a naive algorithm and study a subproblem in the algorithm that suppose the permutation of jobs is also given, how to find a resource distribution to minimize the total weighted flow time. We found a polynomial-time optimal solution for a special case and an approximation solution in general case.

Keywords: Scheduling; Resource constraint; Weighted flow time; Approximation algorithm; Error bound; 90B35; 68C20 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10878-014-9721-5

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