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Resource allocation in multi-server dynamic PERT networks using multi-objective programming and Markov process | ||
| Iranian Journal of Science | ||
| مقاله 8، دوره 35، شماره 2، مرداد 2011، صفحه 131-147 اصل مقاله (238.77 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2137 | ||
| نویسندگان | ||
| S. Yaghoubi؛ S. Noori؛ M. Bagherpour* | ||
| Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran | ||
| چکیده | ||
| In this research, both resource allocation and reactive resource allocation problems in multi-server dynamic PERT networks are analytically modeled, where new projects are expected to arrive according to a Poisson process, and activity durations are also known as independent random variables with exponential distributions. Such system is represented as a queuing network, where multi servers at each service station are allocated, and also each activity of a project is operated at a devoted service station with only one server located at a node of the network based on First Come First Serve (FCFS) policy. In order to propose a novel approach for modeling of multi-server dynamic PERT network, initially the network of queues is transformed into a stochastic network. Then, a differential equations system is organized to solve and obtain approximate completion time distribution for any particular project by applying an appropriate finite-state continuous-time Markov model. Finally, a multi-objective model including four conflicted objectives is presented to optimally control the resources allocated to the service stations in a multi-server dynamic PERT network, and the goal attainment method is further employed to solve a discretetime approximation of the primary multi-objective problem. | ||
| کلیدواژهها | ||
| Project management؛ Markov processes؛ multiple objective programming؛ reactive resource allocation | ||
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