List of Articles Mathematical Modeling

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  1 - Resource Management in Multimedia Networks Using Software-Defined Network Technology
  Ahmadreza Montazerolghaem
  Nowadays, multimedia networks on the Internet have become a low-cost and efficient alternative to PSTN. Multimedia transfer applications on the Internet are becoming more and more popular. This connection consists of two phases: signaling and media. The signaling phase More

  Nowadays, multimedia networks on the Internet have become a low-cost and efficient alternative to PSTN. Multimedia transfer applications on the Internet are becoming more and more popular. This connection consists of two phases: signaling and media. The signaling phase is performed by SIP proxies and the media phase by network switches. One of the most important challenges in multimedia networks is the overload of SIP proxies and network switches in the signaling and media phases. The existence of this challenge causes a wide range of network users to face a sharp decline in the quality of service. In this article, we model the routing problem in multimedia networks to deal with the overload. In this regard, we present a technology-based method of software-based networks and a mathematical programming model in multimedia networks. The proposed method is simulated under various scenarios and topologies. The results investigate that the throughput and resource consumption has improved. Manuscript profile
• Open Access Article
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  2 - Provide Proactive maintenance model using Markov Decision Process Based on stochastic dynamic planning
  MohammadSadeq Behrouz Mohammad Ali Afshar Kazemi adel azar Ezattollah Asgharizadeh
  The use of new approaches and technologies in the design of maintenance plans and policies, taking into account the changes and growth of technology, is one of the factors that are increasingly considered by experts today, and in addition to reducing costs Repair, reduc More

  The use of new approaches and technologies in the design of maintenance plans and policies, taking into account the changes and growth of technology, is one of the factors that are increasingly considered by experts today, and in addition to reducing costs Repair, reducing downtime of machines and increasing the useful life of machinery and equipment, create a competitive advantage in production systems. The purpose of this study is to provide a model for realizing a proactive maintenance approach. In this regard, the decision-making problem for "selecting maintenance policies and programs at the optimal time with the lowest cost" has been modeled. For conducting research, historical data related to the implementation of maintenance programs and risk assessment in the gas pipeline network have been used, and based on recursive induction in stochastic dynamic planning with Markov decision-making process in finite time, mathematical model is designed. In this research, to assign each of the specified policies and actions related to the maintenance program to the identified risks and defects, simulations and optimizations based on time and cost have been performed and sensitivity analysis and validation of the model are performed. The rate of improvement and the rate of optimization in the cost of implementing maintenance policies and the time of its implementation, indicate the efficiency of the proposed model. Manuscript profile