Open Access Open Access  Restricted Access Subscription or Fee Access

A Linear Programming Model for Optimal Project Crashing Strategy with Delay Penalty on AOA Project Diagram

Edward Y. H. Lin, Edison J. W. Lin, Yen T. Hoang


In light of the importance of optimal project crashing strategy in the studies and practice of project management, this paper takes into consideration of project crashing subject to project delay penalty. Based on AOA (Activity-on-Arc) project diagram, we first present an LP (Linear Programming) model towards the optimal project crashing strategy that can accommodate the discrete and fluctuating activity crash costs. We than use a numerical example to illustrate how such problem can be easily solved through LP software to obtain the optimal project crashing strategy when a project delay penalty is imposed. To explore the impact of project delay penalty change on the total crash cost, we further show that parametric analysis can be adopted to realize the turning point of project delay penalty change. This will be useful in the negotiation of project delay penalty setting. The results of this research can be incorporated in the existing LP software to develop a tailored package in the practice of project management.


Linear programming; Project management; Activity crashing

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.