Analysis of Correlation in Batch Markov Arrival Process

2011 ◽  
Author(s):  
Wei Li ◽  
YingJie Wang
Keyword(s):  
Arrival Process ◽  
Markov Arrival ◽  
Markov Arrival Process

scholarly journals Analysis of Multi-Server Queue with Self-Sustained Servers

Mathematics ◽  
2021 ◽  
Vol 9 (17) ◽  
pp. 2134
Author(s):  
Alexander Dudin ◽  
Olga Dudina ◽  
Sergei Dudin ◽  
Konstantin Samouylov
Keyword(s):  
Three Dimensional ◽  
Optimal Choice ◽  
Arrival Process ◽  
Queuing Model ◽  
Numerical Result ◽  
Self Sufficiency ◽  
Server Queue ◽  
Markov Arrival ◽  
Markov Arrival Process ◽  
Multi Server

A novel multi-server vacation queuing model is considered. The distinguishing feature of the model, compared to the standard queues, is the self-sufficiency of servers. A server can terminate service and go on vacation independently of the system manager and the overall situation in the system. The system manager can make decisions whether to allow the server to start work after vacation completion and when to try returning some server from a vacation to process customers. The arrival flow is defined by a general batch Markov arrival process. The problem of optimal choice of the total number of servers and the thresholds defining decisions of the manager arises. To solve this problem, the behavior of the system is described by the three-dimensional Markov chain with the special block structure of the generator. Conditions for the ergodicity of this chain are derived, the problem of computation of the steady-state distribution of the chain is discussed. Expressions for the key performance indicators of the system in terms of the distribution of the chain states are derived. An illustrative numerical result is presented.

Two-Phase Queueing System with a Markov Arrival Process and Blocking

2006 ◽  
Vol 132 (5) ◽  
pp. 578-589 ◽  
Author(s):  
P. P. Bocharov ◽  
R. Manzo ◽  
A. V. Pechinkin
Keyword(s):  
Queueing System ◽  
Arrival Process ◽  
Two Phase ◽  
Markov Arrival ◽  
Markov Arrival Process

Analysis of a Two-Phase Queueing System with a Markov Arrival Process and Losses

2005 ◽  
Vol 131 (3) ◽  
pp. 5606-5613 ◽  
Author(s):  
P. P. Bocharov ◽  
R. Manzo ◽  
A. V. Pechinkin
Keyword(s):  
Queueing System ◽  
Arrival Process ◽  
Two Phase ◽  
Markov Arrival ◽  
Markov Arrival Process

COMPARISON OF QUEUES WITH DIFFERENT DISCRETE-TIME ARRIVAL PROCESSES

2001 ◽  
Vol 15 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Arie Hordijk
Keyword(s):  
Lower Bound ◽  
Discrete Time ◽  
Sojourn Time ◽  
Arrival Process ◽  
Convex Ordering ◽  
Arrival Processes ◽  
Markov Arrival ◽  
Markov Arrival Process ◽  
Special Case ◽  
Stochastic Event

Traveling times in a FIFO-stochastic event graph are compared in increasing convex ordering for different arrival processes. As a special case, a stochastic lower bound is obtained for the sojourn time in a tandem network of FIFO queues with a Markov arrival process. A counterexample shows that the extended Ross conjecture is not true for discrete-time arrival processes.

Renewal Type Queues with a Complex Arrival Process

2010 ◽  
Vol 42 (8) ◽  
pp. 48-54 ◽  
Author(s):  
Elena V. Koba ◽  
Olga N. Dyshlyuk
Keyword(s):  
Arrival Process

scholarly journals Evaluation of Cancer Patients with Older Adult for Awareness and Hospital Arrival Process of COVID-19 Pandemic During: A Cross-Sectional Study

2021 ◽  
Vol 7 ◽  
pp. 233372142199766
Author(s):  
Zeynep Sipahi Karslı ◽  
Berna Kurt ◽  
İbrahim Karadağ ◽  
Berna Çakmak Öksüzoğlu
Keyword(s):  
Cancer Patients ◽  
Older Adult ◽  
Cross Sectional Study ◽  
Arrival Process ◽  
Cross Sectional ◽  
Protective Measures ◽  
Hospital Arrival ◽  
Mortality And Morbidity ◽  
Correlational Design ◽  
Study Results

The study aimed to evaluate the Coronavirus pandemic awareness of cancer patients ≥65 years of age, considered a vulnerable group, and their hospital arrival process, follow-ups and treatments during the pandemic. COVID-19 pandemic was found to increases the mortality and morbidity rates of individuals who aged 65 years and older. The research was conducted with a cross-sectional descriptive correlational design. The sample consist of 77 cancer patients aged 65 years and older adult. Participants were recruited through convenience sampling. In total, 77 patients from the Oncology Hospital located in Ankara from April 29, 2020 to May 20, 2020. Data were collected using a two-part form and a questionnaire. The study was undertaken in accordance with the STROBE checklist for observational studies. Of the participants, 59.7% were female, the mean age was 70 years, 79.2% resided in Ankara and 98.7% traveled to the hospital by car. Looking at the gender and the protective measures taken at home, female participants were found to perform a statistically significant higher level of protective measures. In conclusion, the study results suggest that the restrictions for older adult oncology patients during the pandemic did not negatively affect the delivery of health care.

scholarly journals Tail Asymptotics for Monotone-Separable Networks

2007 ◽  
Vol 44 (02) ◽  
pp. 306-320
Author(s):  
Marc Lelarge
Keyword(s):  
Queueing Network ◽  
Network Models ◽  
Moment Generating Function ◽  
Stochastic Petri Nets ◽  
Arrival Process ◽  
Polling Systems ◽  
Tail Asymptotics ◽  
State Variables ◽  
Monotone Functions ◽  
Jackson Networks

A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework contains several classical queueing network models, including generalized Jackson networks, max-plus networks, polling systems, multiserver queues, and various classes of stochastic Petri nets. We use comparison relationships between networks of this class with independent and identically distributed driving sequences and the GI/GI/1/1 queue to obtain the tail asymptotics of the stationary maximal dater under light-tailed assumptions for service times. The exponential rate of decay is given as a function of a logarithmic moment generating function. We exemplify an explicit computation of this rate for the case of queues in tandem under various stochastic assumptions.

Analysis of queues with rational arrival process components

2012 ◽  
Vol 39 (4) ◽  
pp. 31-31 ◽  
Author(s):  
Nigel G. Bean ◽  
Bo Friis Nielsen
Keyword(s):  
Arrival Process
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