LP relaxation-based solution algorithms for the multi-mode project scheduling with a non-renewable resource

Date

2015-01-01

Author

Azizoğlu, Meral
Pamir, Selin Kirbiyik

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In this study, we consider a multi-mode resource allocation problem with a single non-renewable resource. We assume the resource is released at defined time points and at defined quantities. We also assume that the activity costs are charged once they are completed. Our aim is to minimise the project completion time. We formulate the problem as a pure integer programming model and show that it is strongly NP-hard. We find lower bounds by pure and mixed integer linear programming relaxations of the model and develop three heuristic procedures based on those relaxations. The results of our computational study have revealed the satisfactory performances of our lower bounds and heuristic procedures.

Subject Keywords

Project scheduling, Multi-modes, Non-renewable resource, Integer programming, Linear programming relaxation, Heuristics

URI

https://hdl.handle.net/11511/35618

Journal

EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING

DOI

https://doi.org/10.1504/ejie.2015.070322

Collections

Department of Industrial Engineering, Article

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Citation Formats

M. Azizoğlu and S. K. Pamir, “LP relaxation-based solution algorithms for the multi-mode project scheduling with a non-renewable resource,” EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING, pp. 450–469, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35618.