Contribution Study of M/M(a, b)/1 Queueing System with vacation Polices

The underlying assumption of queuing theory is that arrivals to the system are characterized by a probability distribution, the Poisson distribution, and service times by another known distribution, the exponential distribution. These assumptions enable analysts to devise easily solvable mathematical models, which may be used to evaluate system performance. Single Server Bulk service M / M (a, b) / 1 Queueing System, when solving the single server bulk service queueing models numerically, the results of system measures have been obtained effectively by using Matlab software.