Abstract
We explore the finish-to-start precedence relations of project activities used in scheduling problems. From these relations, we devise a method to identify groups of activities that could execute concurrently, i.e. activities in the same group can all execute in parallel.
The method derives a new set of relations to describe the concurrency. Then, it is represented by an undirected graph and the maximal cliques problem identifies the groups.
We provide a running example with a project from our previous studies in resource constrained project cost minimization together with an example application on the concurrency detection method: the evaluation of the resource stress.
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Bron, C., Kerbosch, J.: Algorithm 457: Finding all cliques of an undirected graph. Commun. ACM 16(9), 575–577 (1973), http://doi.acm.org/10.1145/362342.362367
Cazals, F., Karande, C.: A note on the problem of reporting maximal cliques. Theoretical Computer Science 407(1-3), 564–568 (2008), http://www.sciencedirect.com/science/article/pii/S0304397508003903
Chang, L., Yu, J., Qin, L.: Fast maximal cliques enumeration in sparse graphs. Algorithmica 66(1), 173–186 (2013), http://dx.doi.org/10.1007/s00453-012-9632-8
Demeulemeester, E.L., Herroelen, W.S.: Project Scheduling - A Research Handbook. International Series in Operations Research & Management Science, vol. 49. Kluwer Academic Publishers (2002)
Moutinho, R., Tereso, A.: Scheduling of Multimodal Activities with Multiple Renewable and Availability Constrained Resources under Stochastic Conditions. Procedia Technology 16, 1106–1115 (2014)
Pattabiraman, B., Patwary, M. M.A., Gebremedhin, A.H., Liao, W.-k., Choudhary, A.: Fast algorithms for the maximum clique problem on massive sparse graphs. In: Bonato, A., Mitzenmacher, M., Prałat, P. (eds.) WAW 2013. LNCS, vol. 8305, pp. 156–169. Springer, Heidelberg (2013)
Prosser, P.: Exact algorithms for maximum clique: A computational study. Algorithms 5(4), 545–587 (2012)
Tomita, E., Tanaka, A., Takahashi, H.: The worst-case time complexity for generating all maximal cliques (Computing and Combinatorics 10th Annual International Conference on Computing and Combinatorics (COCOON 2004)). In: Chwa, K.-Y., Munro, J.I. (eds.) COCOON 2004. LNCS, vol. 3106, pp. 161–170. Springer, Heidelberg (2004), http://www.sciencedirect.com/science/article/pii/S0304397506003586 , doi:10.1016/j.tcs.2006.06.015
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Moutinho, R., Tereso, A. (2015). Concurrency Detection on Finish-to-Start Activity Precedence Networks. In: Rocha, A., Correia, A., Costanzo, S., Reis, L. (eds) New Contributions in Information Systems and Technologies. Advances in Intelligent Systems and Computing, vol 353. Springer, Cham. https://doi.org/10.1007/978-3-319-16486-1_3
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DOI: https://doi.org/10.1007/978-3-319-16486-1_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16485-4
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