Journal of Global Optimization

, Volume 68, Issue 3, pp 623–640 | Cite as

Approximation guarantees of algorithms for fractional optimization problems arising in dispatching rules for INDS problems

Article

Abstract

In this paper, we provide approximation guarantees of algorithms for the fractional optimization problems arising in the dispatching rules from recent literature for Integrated Network Design and Scheduling problems. These fractional optimization problem are proved to be NP-hard. The approximation guarantees are based both on the number of arcs in the network and on the number of machines in the scheduling environment. We further demonstrate, by example, the tightness of the factors for these approximation algorithms.

Keywords

Approximation algorithm Fractional optimization Integrated Network Design and Scheduling Complexity analysis 

Notes

Acknowledgements

The work of Thomas C. Sharkey was supported in part by the U.S. National Science Foundation under Grant Number CMMI-1254258.

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Department of Industrial and Systems EngineeringRensselaer Polytechnic InstituteTroyUSA

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