Heterogeneous queueing systems $M/M_i/2$ with balking
نویسندگان
چکیده
منابع مشابه
A Heterogeneous Two-Server Queueing System with Balking and Server Breakdowns
In this paper, we study an M/M/2 queueing system with balking and two heterogeneous servers, Server 1 and Server 2. Customers arrive according to a Poisson process and form a single waiting line. Two parallel servers provide heterogeneous exponential service to customers on a firstcome first-served basis. It is assumed that Server 1 is perfectly reliable and Server 2 is subject to breakdowns. F...
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Many real-life phenomena, such as computer systems, communication networks, manufacturing systems, supermarket checkout lines as well as structural military systems can be represented by means of queueing models. Looking at queueing models, a controller may considerably improve the system’s performance by reducing queue lengths, or increasing the throughput, or diminishing the overhead, whereas...
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Using deterministic (sample-path) analysis, we generalize and extend fundamental properties of systems with “stationary deterministic flows” as introduced by Gelenbe (1983) and Gelenbe and Finkel (1987). Primarily, we provide conditions for stability and instability for general queueing models, and focus attention on multichannel queueing systems with servers that work at different rates. Stabi...
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This investigation deals with M/M/R/N machine repair problem with R non-reliable service stations which are subjected to unpredictable breakdown. 1here is provision of an additional server to reduce backlog in the case of heavy load of failed machines. 1he permanent service stations repair the failed machines at an identical rate m and switch to faster repair rate when all service stations are ...
متن کاملAnalysis of a Queueing Model with Balking for Buffer Sharing in Atm
ABSTRACT:In this paper, we study a Markovian queueing model with balking for buffer sharing in ATM. It is assumed that server provides service with priorities termed as first, second and third. As soon as system accumulates L+1, M+1 customers third and second priority customers balk with balking function bn. We have obtained the steady state probabilities for the system by recursive method. Som...
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ژورنال
عنوان ژورنال: Applicationes Mathematicae
سال: 1976
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am-15-2-149-154