A generalized double ended stochastic queue system with excess customer demand in real world situations Bhardwaj Reeta1,*, Singh T. P.2,**, Kumar Vijay1,* 1Assistant professor, Department of Mathematics, Amity University, Punchgaon, Manesar, Gurgaon (India) 2Professor, Department of Mathematics, Yamuna Institute of Engg. & Technology, Gadholi, Yamuna Nagar (India) *Email: bhardwajreeta84@gmail.com
**tpsingh78@yahoo.com
***vijaykumar.goldy@gmail.com
Online published on 10 February, 2015. Abstract A double ended queue model is a system where customer demanding and resource supply arrive to a work station in poisson process. When there is a pair of customer and resource in a system, they immediately transact the required system and leave the system. Thus, there cannot be non-zero numbers of customers and resources simultaneously in the system. The double ended queue system can be applied to model various social and economic situations in real world scenario. We analyzed the various queue parameters like mean queue length, waiting time and the cost functions etc. due to imbalance of customer demand and resources. The analysis has been made analytically. The queuing behavior in different situations has been examined and a comparative study has been made with the work already done through simulation. The main objective of the paper is to explore the situation when the stochastic system becomes unstable due to excess customers. The effect of customer's reduction factor and resource expansion factor has been examined graphically. The limitations of the model has also been given and extensions are suggested. Top Keywords Double ended, Poisson process, customer reduction factor, resource expansion factor. Top |