Hart and Mas-Colell consistency in PERT problems

ProjectManagement: an R Package for Managing Projects

“…In Bergantiños et al (2018), the problem of allocating the delay costs is addressed in the context of cooperative game theory using a Shapley rule. As we illustrate later in an example, the Shapley rule allocates the delay costs in a more sensible way than the proportional rules, at least in some cases.…”

“…Özdamar and Ulusoy (1995) present a survey of the problem of resource constraints. To distribute the delay cost of the project among the activities, Brânzei et al (2002) provide two rules using, respectively, a game theoretical and a bankruptcy-based approach, and Bergantiños et al (2018) introduce and analyse a consistent rule based on the Shapley value.…”

Sharing delay costs in stochastic scheduling problems with delays

“…In this section, we describe the problem with which we deal. We first formally introduce a deterministic scheduling problem with delays mainly following Bergantiños et al (2018): Definition 2.1 A deterministic scheduling problem with delays P is a tuple (N , ≺, x 0 , x, C) where:…”

“…In Castro et al (2007), the core of a class of transferable utility cooperative game (in short, a TU-game) arising from a delay cost-sharing problem was studied. In Bergantiños et al (2018), a consistent rule based on the Shapley value was introduced and analysed. Estévez-Fernández et al (2007) and Estévez-Fernández (2012) dealt with some classes of TU-games associated with projects whose activities might have been delayed or advanced by generating delay costs or acceleration benefits of the corresponding projects.…”

Scheduling for Indonesia’s Aircraft Wing Structure Design Project with Critical Path Method and Resource-Constrained Project Scheduling

“…Project management can be done with the appropriate application and  Corresponding author: mdachyar@yahoo.com integration of the process in the project to execute it effectively and efficiently [3]. Implementation of project management can be done by various methods, such as using the conventional method like Critical Path Method [5], Program Evaluation Review Technique [6], or alternative methods like Critical Chain Method [7], Business Process Reengineering [8], and various other methods. Critical path is the path of activities sequences that determine the duration of the project.…”