Abstract: In this paper, an attempt is made to compute the total
optimal cost of interdependent queuing system with controllable
arrival rates as an important performance measure of the system. An
example of application has also been presented to exhibit the use of
the model. Finally, numerical demonstration based on a computing
algorithm and variational effects of the model with the help of the
graph have also been presented.
Abstract: This paper focuses on cost and profit analysis of
single-server Markovian queuing system with two priority classes. In
this paper, functions of total expected cost, revenue and profit of the
system are constructed and subjected to optimization with respect to
its service rates of lower and higher priority classes. A computing
algorithm has been developed on the basis of fast converging
numerical method to solve the system of non linear equations formed
out of the mathematical analysis. A novel performance measure of
cost and profit analysis in view of its economic interpretation for the
system with priority classes is attempted to discuss in this paper. On
the basis of computed tables observations are also drawn to enlighten
the variational-effect of the model on the parameters involved
therein.