Article ID: | iaor19911120 |
Country: | United States |
Volume: | 6 |
Start Page Number: | 691 |
End Page Number: | 713 |
Publication Date: | Nov 1990 |
Journal: | Stochastic Models |
Authors: | Adan I., Wessels J., Zijm W. |
Keywords: | stochastic processes |
In this paper the authors study a system consisting of two identical servers, each with exponentially distributed service times. Jobs arrive according to a Poisson stream. On arrival a job joins the shortest queue and in case both queues have equal lengths, joins either queue with probability 1/2. By using a compensation method, the authors show that the stationary queue length distribution can be expressed as an infinite linear combination of product forms. Explicit relatiosn are found for these product forms, as well as for the coefficients in the linear combination. These analytic results offer an elegant and efficient numerical algorithm, with effective bounds on the error of each partial sum.