Abstract
Boundary value methods are applied to find transient solutions of MM2 queueing systems with two heterogeneous servers under a variant vacation policy. An iterative method is employed to solve the resulting large linear system and a Crank-Nicolson preconditioner is used to accelerate the convergence. Numerical results are presented to demonstrate the efficiency of the proposed method.
Original language | English |
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Pages (from-to) | 3948-3955 |
Number of pages | 8 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 236 |
Issue number | 16 |
Early online date | 28 Jan 2012 |
DOIs | |
Publication status | Published - Oct 2012 |
Externally published | Yes |
Funding
The research of the first and second authors was supported by HKRGC Grant CUHK 400510 . The research was also partially supported by the research grant 033/2009/A from FDCT of Macao and MYRG140(Y1-L2)-FST11-SHW from the University of Macau.
Keywords
- Boundary value method
- Crank-Nicolson preconditioner
- Heterogeneous servers
- Queueing systems
- Variant vacation policy