scholarly journals Ans, SProduction Inventory Controlled Self-Service Queuing System

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Anoop N. Nair ◽  
M. J. Jacob
Keyword(s):  
Steady State ◽  
Poisson Process ◽  
Three Dimensional ◽  
Queuing System ◽  
Analytic Method ◽  
Queuing Models ◽  
Production Inventory ◽  
Qbd Process ◽  
Self Service ◽  
Steady State Solutions

We consider a multiserver Markovian queuing system where each server provides service only to one customer. Arrival of customers is according to a Poisson process and whenever a customer leaves the system after getting service, that server is also removed from the system. Here the servers are considered as a standards, Sproduction inventory. Behavior of this system is studied using a three-dimensional QBD process. The condition for checking ergodicity and the steady state solutions are obtained using matrix analytic method. Unlike classical queuing models, the number of servers varies in this model according to an inventory policy.

SPATIAL DISORDER OF CNN — WITH ASYMMETRIC OUTPUT FUNCTION

2001 ◽  
Vol 11 (08) ◽  
pp. 2085-2095 ◽  
Author(s):  
JUNG-CHAO BAN ◽  
KAI-PING CHIEN ◽  
SONG-SUN LIN ◽  
CHENG-HSIUNG HSU
Keyword(s):  
Neural Networks ◽  
Steady State ◽  
Three Dimensional ◽  
Cellular Neural Networks ◽  
Output Function ◽  
One Dimensional ◽  
Spatial Entropy ◽  
The One ◽  
Steady State Solutions

This investigation will describe the spatial disorder of one-dimensional Cellular Neural Networks (CNN). The steady state solutions of the one-dimensional CNN can be replaced as an iteration map which is one dimensional under certain parameters. Then, the maps are chaotic and the spatial entropy of the steady state solutions is a three-dimensional devil-staircase like function.

Mathematical Modeling of Constrained Vapor Bubbles

2003 ◽  
Author(s):  
Vladimir S. Ajaev ◽  
G. M. Homsy
Keyword(s):  
Steady State ◽  
Three Dimensional ◽  
Liquid Interface ◽  
Vapor Bubbles ◽  
Dimensional Model ◽  
Type Analysis ◽  
Steady Regime ◽  
Mass Fluxes ◽  
Steady State Solutions ◽  
Vapor Liquid

We develop a mathematical model of a long vapor bubble in a micro-channel with given temperature distributions on the walls. We assume that the shape of the bubble is dominated by capillary forces everywhere except near the walls of the channel and use a lubrication-type analysis to find the local vapor-liquid interface shapes and mass fluxes near the walls. Both two- and three-dimensional steady-state solutions are found such that evaporation near the heated bottom is balanced by condensation in colder areas of the vapor-liquid interface. The total length in this steady regime is found from the integral mass balance and investigated as a function of heating conditions. Steady-state conditions can no longer be satisfied when the intensity of heating is above a certain level. In this regime the bubble is expanding. We investigate such expansion in the framework of a two-dimensional model in the limit of small capillary number.

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