Asymptotic Behavior of the Time-Dependent Solution of the M/G/1 Queueing Model with Second Optional Service

作者：Kasim, Ehmet^*; Gupur, Geni

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39(1): 29-64.

DOI：10.1007/s40840-015-0163-8

• The M/G/1 queueing model with second optional service
• Eigenvalue
• Resolvent set

By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with second optional service, we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. We also show that the time-dependent queueing size at the departure point converges to the corresponding steady-state queueing size at the departure point.

• 出版日期2016-1
• 单位新疆大学