Loading...
Please wait, while we are loading the content...
Similar Documents
The preemptive stochastic resource-constrained project scheduling problem
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Creemers, Stefan |
| Abstract | Preemption (or the splitting of activities) is a common practice in many project environments, and has been a standard feature of commercial project management software packages for years. Despite its prevalence in daily practice, preemption has received little attention in the project scheduling literature. A possible explanation for this lack of research interest is the common assumption that preemption only has a limited impact on the optimal makespan of a project. In this article, however, we show that the benefit of preemption can be significant, and that it increases with the size and the complexity of the project network. In addition, we also investigate how activity duration variability impacts the benefits of preemption. To this end, we study the preemptive stochastic resource-constrained project scheduling problem (PSRCPSP), and present an exact solution procedure. Even though the deterministic preemptive resource-constrained project scheduling problem (PRCPSP) has received some attention in the literature, we are the first to study the PSRCPSP. We use hypoexponential distributions to model the activity durations, and define a new continuous-time Markov chain (CTMC) that drastically reduces memory requirements when compared to the well-known CTMC of Kulkarni and Adlakha (1986) (Operations Research, 34(5), 769–781). In addition, we also propose a new and efficient approach to structure the state space of the CTMC. |
| Related Links | https://hal.science/hal-02992618/file/S037722171930178X.pdf |
| ISSN | 03772217 |
| e-ISSN | 18726860 |
| DOI | 10.1016/j.ejor.2019.02.030 |
| Journal | European Journal of Operational Research |
| Issue Number | 1 |
| Volume Number | 277 |
| Language | English |
| Publisher | HAL CCSD Elsevier |
| Publisher Date | 2019-08-16 |
| Access Restriction | Open |
| Subject Keyword | Preemption Project scheduling Resource constraints Continuous-time Markov chain Stochastic durations Humanities and Social Sciences Humanities and Social Sciences Business administration |
| Content Type | Text |
| Resource Type | Article |
| Subject | Industrial and Manufacturing Engineering Arts and Humanities Information Systems and Management Management Science and Operations Research Social Sciences Computer Science Modeling and Simulation |
