Solving certain queueing problems by means of regular splittings
β Scribed by P Favati; B Meini
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 316 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
Communicated by D. J. Rose
Abstract--We analyze the problem of the computation of the solution of the nonlinear matrix equation X = ~+=c~ XiAi, arising in queueing models. We propose a technique based on regular splittings, that on one hand leads to a new method for computing the solution, and on the other hand, it may be used to construct nonlinear matrix equations equivalent to starting one, that can be possibly solved by applying different algorithms.
π SIMILAR VOLUMES
The concept of displacement rank is used to devise an algorithm for the inversion of an n X n block Toeplitz matrix in block Hessenberg form H, having m X m block entries. This kind of matrices arises in many important problems in queueing theory. We explicitly relate the first and last block rows
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