scholarly journals Optimization and sensitivity analysis of controlling arrivals in the queueing system with single working vacation

2010 ◽  
Vol 234 (2) ◽  
pp. 545-556 ◽  
Author(s):  
Dong-Yuh Yang ◽  
Kuo-Hsiung Wang ◽  
Chia-Huang Wu
Keyword(s):  
Sensitivity Analysis ◽  
Queueing System ◽  
Working Vacation

scholarly journals Analysis of a Markovian queueing system with single working vacation and impatience of customers

2019 ◽  
Vol 1344 ◽  
pp. 012018
Author(s):  
P. Vijaya Laxmi ◽  
T. W. Kassahun ◽  
E. Girija Bhavani
Keyword(s):  
Queueing System ◽  
Working Vacation

COST ANALYSIS OF THE R-UNRELIABLE-UNLOADER QUEUEING SYSTEM

2008 ◽  
Vol 25 (01) ◽  
pp. 57-73
Author(s):  
KUO-HSIUNG WANG ◽  
CHUN-CHIN OH ◽  
JAU-CHUAN KE
Keyword(s):  
Sensitivity Analysis ◽  
Steady State ◽  
Queueing System ◽  
Cost Model ◽  
Analytic Solutions ◽  
Queueing Model ◽  
Exponential Distributions ◽  
System Parameters ◽  
Optimal Values ◽  
The Cost

This paper analyzes the unloader queueing model in which N identical trailers are unloaded by R unreliable unloaders. Steady-state analytic solutions are obtained with the assumptions that trip times, unloading times, finishing times, breakdown times, and repair times have exponential distributions. A cost model is developed to determine the optimal values of the number of unloaders and the finishing rate simultaneously, in order to minimize the expected cost per unit time. Numerical results are provided in which several steady-state characteristics of the system are calculated based on assumed numerical values given to the system parameters and the cost elements. Sensitivity analysis is also studied.

scholarly journals Virtual customers in sensitivity and light traffic analysis via Campbell's formula for point processes

1993 ◽  
Vol 25 (1) ◽  
pp. 221-234 ◽  
Author(s):  
F. Baccelli ◽  
P. Brémaud
Keyword(s):  
Sensitivity Analysis ◽  
Theoretical Basis ◽  
Point Processes ◽  
Queueing System ◽  
Short Proof ◽  
Traffic Analysis ◽  
Light Traffic

This article provides the theoretical basis of the virtual customer method or positive rare perturbation (RPA) method of sensitivity analysis, and in particular gives a short proof of the light traffic derivative result of Reiman and Simon [5] based on Campbell's formula. As a by-product, we obtain the archetypal H = λG formula associated with a stationary quantity of a queueing system.

scholarly journals Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy

2020 ◽  
Vol 30 (4) ◽  
Author(s):  
Amina Angelika Bouchentouf ◽  
Lahcene Yahiaoui ◽  
Mokhtar Kadi ◽  
Shakir Majid
Keyword(s):  
Queueing System ◽  
Cost Model ◽  
Probability Generating Function ◽  
Steady State Solution ◽  
Stochastic Decomposition ◽  
Single Server ◽  
Working Vacation ◽  
Bernoulli Feedback ◽  
Markovian Queue ◽  
Retention Of Reneged Customers

This paper deals with customers’ impatience behaviour for single server Markovian queueing system under K-variant working vacation policy, waiting server, Bernoulli feedback, balking, reneging, and retention of reneged customers. Using probability generating function (PGF) technique, we obtain the steady-state solution of the system. In addition, we prove the stochastic decomposition properties. Useful performance measures of the considered queueing system are derived. A cost model is developed. Then, the parameter optimisation is carried out numerically, using quadratic fit search method (QFSM). Finally, numerical examples are provided in order to visualize the analytical results.

scholarly journals An M/G/1 Retrial Queue with Fluctuating Modes of Services

2018 ◽  
Vol 7 (4.10) ◽  
pp. 762
Author(s):  
P. Rajadurai ◽  
S. Venkatesh ◽  
K. Parameswari
Keyword(s):  
Steady State ◽  
Queueing System ◽  
Retrial Queue ◽  
Probability Generating Function ◽  
Single Server ◽  
Supplementary Variable ◽  
Working Vacation ◽  
Variable Technique ◽  
Retrial Queueing System ◽  
Retrial Queueing

In this paper, we consider a single server retrial queueing system with working vacation and two classes of customers, which are priority customers and ordinary customers. The single server provides fluctuating modes (optional phases) of services. Using the method of Probability Generating Function (PGF) approach and supplementary variable technique, the steady state results are obtained. 

Sign in / Sign up

Export Citation Format

Share Document