Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S365 - S384|
|Published online||09 February 2021|
Project management in a competitive environment: interdicting a CPM based project and its implications
Turkish Military Academy Defense Sciences Institute, 06654 Bakanliklar, Ankara, Turkey.
2 Abdullah Gul University, Department of Industrial Engineering, 38080 Kocasinan, Kayseri, Turkey.
* Corresponding author: firstname.lastname@example.org
Accepted: 6 September 2019
There are two opponents in a classic network interdiction problem, network owner/defender and interdictor/attacker. Each side has enough information about the other’s possible courses of action. While the network user wishes to run the network in an optimal way, the attacker with the limited resources tries to prevent the optimal operation of the network by interdicting the arcs/nodes of the network. In this study, we investigate project management in a competitive environment using a network interdiction approach. We assume that the project owner/manager strives to minimize the completion time of a Critical Path Method (CPM) based project while an opponent attempts to maximize the minimum completion time by inflicting some delays on project activities with available interdiction resources. Considering both discrete and continuous delay times, we develop two bi-level mixed-integer programming models for the interdictor. Using duality, we then convert the bi-level models to standard single-level models, which are solvable through standard optimization packages. We extend these models to find efficient solutions in terms of project completion time and interdiction resources from the interdictor’s perspective. In this respect, we develop an algorithm to find an efficient solution set for the interdictor. Next, from project manager’s standpoint, we discuss the earliest and latest scheduling times of activities in case of interdiction. Finally, we apply the developed techniques in a marketing project aiming at introducing a new product. The findings may enhance a better project management in an environment where an opponent can adversely affect the project management process by delaying some activities.
Mathematics Subject Classification: 90B50 / 90B10
Key words: Bi-level programming / project management / project scheduling / network modeling / network interdiction / integer programming
© EDP Sciences, ROADEF, SMAI 2021
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