Access the full text.
Sign up today, get DeepDyve free for 14 days.
J.S.-C. Wu, W. Chan (1989)
Maximum Entropy Analysis of Multiple-server Queueing SystemsJournal of the Operational Research Society, 40
D. Kouvatsos (1988)
A Maximum Entropy Analysis of the G/G/1 Queue at EquilibriumJournal of the Operational Research Society, 39
J. Al-Jararha, K. Madan (2003)
An M/G/1 queue with second optional service with general service time distributionInternational journal of information and management sciences, 14
I. Arizono, Yusheng Cui, H. Ohta (1991)
An Analysis of M/M/s Queueing Systems Based on the Maximum Entropy PrincipleJournal of the Operational Research Society, 42
G. Choudhury, Madhuchanda Paul (2006)
A Batch Arrival Queue with a Second Optional Service Channel Under N-PolicyStochastic Analysis and Applications, 24
Jinting Wang (2004)
An M/G/1 queue with second optional service and server breakdownsComputers & Mathematics With Applications, 47
M. El-Affendi, D. Kouvatsos (1983)
A maximum entropy analysis of the M/G/1 and G/M/1 queueing systems at equilibriumActa Informatica, 19
S. Guiasu (1986)
Maximum Entropy Condition in Queueing TheoryJournal of the Operational Research Society, 37
Y. Bard (1980)
Estimation of State Probabilities Using the Maximum Entropy PrincipleIBM J. Res. Dev., 24
J. Ke, Chuen-Horng Lin (2006)
Maximum entropy solutions for batch arrival queue with an un-reliable server and delaying vacationsAppl. Math. Comput., 183
J. Medhi (2002)
A Single Server Poisson Input Queue with a Second Optional ChannelQueueing Systems, 42
A. Zreikat (2006)
Performance of Queueing Model of one UMTS Cell with R Virtual Zones by the Maximum Entropy SolutionWireless Personal Communications, 39
Ioannis Dimitriou, C. Langaris (2010)
A repairable queueing model with two-phase service, start-up times and retrial customersComput. Oper. Res., 37
Dong-Yuh Yang, Kuo-Hsiung Wang, W. Pearn (2010)
Steady-state probability of the randomized server control system with second optional service, server breakdowns and startupJournal of Applied Mathematics and Computing, 32
Kuo-Hsiung Wang, Kai-Bin Huang (2009)
A maximum entropy approach for the (p,N)-policy M/G/1 queue with a removable and unreliable serverApplied Mathematical Modelling, 33
Kuo-Hsiung Wang, M. Chan, J. Ke (2007)
Maximum entropy analysis of the M[x]/M/1 queueing system with multiple vacations and server breakdownsComput. Ind. Eng., 52
D. Kouvatsos (1986)
Maximum entropy and the G/G/1/N queueActa Informatica, 23
K. Madan (1999)
An M/G/1 queue with second optional serviceQueueing Systems, 34
D. Kouvatsos, A. Othman (1989)
Optimal Flow Control of a G/G/c Finite Capacity QueueJournal of the Operational Research Society, 40
G. Choudhury, Kandarpa Deka (2009)
An MX/G/1 unreliable retrial queue with two phases of service and Bernoulli admission mechanismAppl. Math. Comput., 215
M. Lopez-Herrero (2006)
A maximum entropy approach for the busy period of the M/G/1 retrial queueAnnals of Operations Research, 141
K. Wang, J. Ke (2002)
(International Transactions in Operational Research,09(2):195-212)Control Policies of an M/G/1 Queueing System with a Removable and Non-reliable Server
We consider the M/G/1 queue with second optional service and server breakdowns. A customer leaves the system either after the first required service with probability (1 – θ ) or immediately goes for a second optional service with probability θ after the completion of the first required service. For this queueing model, it is rather difficult to obtain the steady-sate probability explicitly. We apply the maximum entropy approach to approximate the system size distributions by using the first and second moments of the system size. Accuracy comparisons between the two approximate solutions are conducted. Numerical results indicate that using the first moment approach is more accurate than using the second moment approach.
International Journal of Services Operations and Informatics – Inderscience Publishers
Published: Jan 1, 2011
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.