In this work, we suggest an analytic technique with triangular fuzzy and intuitionistic numbers to compute the membership functions of considerable state-executing proportion in Erlang service models. The inter-entry rate, which is Poisson, admin (service) Erlang, are both fuzzy-natured case, FEk designating probabilistic deviation k exponentially phase. numeric antecedents shown validate model...

Queuing models are important tools for studying the performance of complex systems, but despite the substantial queuing theory literature, it is often necessary to use approximations in the case the system is nonmarkovian. Phase type distribution is by now indispensable tool in creation of queuing system models. The purpose of this paper is to suggest a method and software for evaluating queuin...

Using a queuing approach to describe a shared memory parallel computer system, it can be considered as a parallel computer system with a shared single ready queue. This can depict a single queue parallel server queuing model. Some models that are based on probability density function have been used to model the performance of the queuing system. This paper uses recursive models to evaluate the ...

Among the various existing models for the warehousing management, the simultaneous use of private and public warehouses is as the most well-known one. The purpose of this article is to develop a queuing theory-based model for determining the optimal capacity of private warehouse in order to minimize the total corresponding costs. In the proposed model, the available space and budget to create a...

high congestion of returned product at remanufacturing facility causes substantial delays and consequently remarketing value losses for time-sensitive and high-tech products with short life cycles, such as electronic equipments. at the remanufacturing site the returned product are inspected and classified according to their quality and processing time in one of the two classes: class 1 being ad...

Queuing theory is the study of queues for managing process and objects. In this paper we analyze various models of the Single server queuing system with.Single-sever service node consists of a server plus its queue. If only one service technician, the machine shop model from section 1. 1 is a single-server queue.Queueing theory is the mathematical study of waiting lines, or queues. The MM1 queu...

one main group of a transportation network is a discrete hub covering problem that seeks to minimize the total transportation cost. this paper presents a multi-product and multi-mode hub covering model, in which the transportation time depends on travelling mode between each pair of hubs. indeed, the nature of products is considered different and hub capacity constraint is also applied. due to ...

The concept of reneging has been exploited to a great extent in recent past by the queuing modelers. Reneging leads to loss of potential customers. Keeping into mind this negative impact of reneging, a new queuing model has been developed which deals with retention of reneged customers. In this paper, we have developed an M/M/1/N queuing model which deals with retention of reneged customers. Th...

Abstract Under many scenarios where resources may be scarce or a good Quality of Service is requirement, appropriately sizing components and devices one the main challenges. New scenarios, such as IoT, mobile cloud computing, edge computing fog have emerged recently. The ability to design, model simulate those infrastructures critical dimension them correctly. Queuing theory models provide appr...