Model of bi-tandem queues with multi input arrival and with linear and non linear service rates

Author

Agrawal, S. ; Tiwari, L.M. ; Kapoor, S.

Author_Institution

Omkarananda Inst. of Manage. & Technol., Rishikesh, India

fYear

2011

fDate

19-21 April 2011

Firstpage

1

Lastpage

5

Abstract

In the present paper analytical study of expecting phenomena is shown. There are two type of server is taken which is called as S₁ and S₂ in which S₁ and S₂ is different from each other. Probability based study has to be taken for their comparative work. The mathematical formulation of steady state situation is formed in terms of difference equation. The generating function technique has been adopted for the solution for the above set of model. Marginal Mean Queue Length, Mean Queue Length is also analyzed in this study. Finally the decision making scheme is comparatively good from the available lit.

Keywords

probability; queueing theory; bitandem queues; decision making; difference equation; marginal mean queue length; mathematical formulation; multiinput arrival; nonlinear service rates; probability; steady state situation; Difference equations; Mathematical model; Printing; Queueing analysis; Servers; Steady-state; Bi-tandem Channels; Jockeying; Mean Queue Length; Reneging;

fLanguage

English

Publisher

ieee

Conference_Titel

Modeling, Simulation and Applied Optimization (ICMSAO), 2011 4th International Conference on

Conference_Location

Kuala Lumpur

Print_ISBN

978-1-4577-0003-3

Type

conf

DOI

10.1109/ICMSAO.2011.5775550

Filename

5775550