Transient Solution of Two –Class priority Queuing System with Balking and Catastrophes
نویسندگان
چکیده
منابع مشابه
Diffusion Process for GX/G/M Queuing System with Balking and Reneging
In the present investigation transient, G x/G/m queuing model with balking and reneging has been studied. The diffusion process with elementary return boundary has been used for modeling purpose. The probability density function (p. d. f.) for the number of customers in the system has been obtained. In special case, the steady state results that tally with those of Kimura and Ohsone have been e...
متن کاملTransient Solution of an M/M/1 Variant Working Vacation Queue with Balking
This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $bar{b} = 1-b$. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period and working vacation period, and vacation times are assumed ...
متن کاملTransient Solution of a Multi-Server Queue with Catastrophes and Impatient Customers when System is Down
We consider an M/M/c queuing system, which occasionally suffers disastrous failure and all the customers are lost. The repair mechanism starts immediately. When the system is down, the stream of arrivals continue. However the new arrivals become impatient and activate their own timer. If the system is still down when the timer expires, the customer abandons the system never to return. We obtain...
متن کاملCost and Profit Analysis of Markovian Queuing System with Two Priority Classes: A Computational Approach
This paper focuses on cost and profit analysis of single-server Markovian queuing system with two priority classes. In this paper, functions of total expected cost, revenue and profit of the system are constructed and subjected to optimization with respect to its service rates of lower and higher priority classes. A computing algorithm has been developed on the basis of fast converging numerica...
متن کاملTwo-Class Priority Queueing System with State-Dependent Arrivals
In this paper, we present a performance analysis of a 2-dimensional preemptive priority queueing system with state-dependent arrivals. Using a Markovian formulation we first compute the steady state distribution for the queue length of both classes. Then, waiting times and busy periods are characterized through (i) first and second moments and (ii) the approximation of their cumulative distribu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Scientific Journal for Damietta Faculty of Science
سال: 2023
ISSN: ['2314-8594', '2314-8616']
DOI: https://doi.org/10.21608/sjdfs.2023.175105.1067