Fluid <i>M</i>/<i>M</i>/1 catastrophic queue in a random environment
نویسندگان
چکیده
Our main objective in this study is to investigate the stationary behavior of a fluid catastrophic queue M / /1 random multi-phase environment. Occasionally, queueing system experiences failure causing loss all current jobs. The then goes into process repair. As soon as repaired, it moves with probability q i ≥ 0 phase . In study, distribution buffer content determined using generating function. addition, some numerical results are provided illustrate effect various parameters on content.
منابع مشابه
A Note on the M/M/∞ Queue in Random Environment
We show that, for the M/M/∞ queue in a Markovian random environment, the joint probability distribution function (pdf) of the two variables: random phase and number of customers in the system, is equal to the product of the corresponding marginal pdfs if and only if the ratio of arrival rate to service rate is the same for all phases. We explicitly derive this joint pdf. Furthermore, for the ge...
متن کاملM/M/1 Queue in Random Environment with Disasters An M/M/1 Queue in Random Environment with Disasters
We study a M/M/1 queue in a multi-phase random environment, where the system occasionally suffers a disastrous failure, causing all present jobs to be lost. The system then moves to a repair phase. As soon as the system is repaired, it moves to phase i with probability qi ≥ 0. We use two methods of analysis to study the probabilistic behaviour of the system in steady state: (i) via probability ...
متن کاملAn M/M/1 Queue in Random Environment with disasters
We study aM/M/1 queue in a multi-phase random environment, where the system occasionally suffers a disastrous failure, causing all present jobs to be lost. The system then moves to a repair phase. As soon as the system is repaired, it moves to phase i with probability qi ≥ 0. We use two methods of analysis to study the probabilistic behaviour of the system in steady state: (i) via probability g...
متن کاملQueue-Based Random-Access Algorithms: Fluid Limits and Stability Issues
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
متن کاملA Finite Buffer Fluid Queue Driven by a Markovian Queue
We consider a finite buffer fluid queue receiving its input from the output of a Markovian queue with finite or infinite waiting room. The input flow into the fluid queue is thus characterized by a Markov modulated input rate process and we derive, for a wide class of such input processes, a procedure for the computation of the stationary buffer content of the fluid queue and the stationary ove...
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: Rairo-operations Research
سال: 2021
ISSN: ['1290-3868', '0399-0559']
DOI: https://doi.org/10.1051/ro/2020100