On a functional equation arising in the theory of queues
โ Scribed by Herman Hanisch; Warren M. Hirsch
- Publisher
- John Wiley and Sons
- Year
- 1963
- Tongue
- English
- Weight
- 360 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
โฆ Synopsis
We consider in this paper the following functional equation which occurs in the theory of queues : + (1a)(l -F ( 4 ) 1 dG(t).
๐ SIMILAR VOLUMES
Remark 3. Although we have proved that (with one exception) m=n=2 in (I), so that the equation becomes pa -2q2 = fl, 25
In this paper, we will introduce a new multiplicative functional Eq. 1 and prove ลฝ . that the given equation is equivalent to the well known ''original'' one, f xy s ลฝ . ลฝ . ลฝ . f x f y . Moreover, we will investigate the stability problem of Eq. 1 in the sense of R. Ger.
## SUMMARY In this paper, we apply two optimization methods to solve an optimal control problem of a linear neutral differential equation (NDE) arising in economics. The first one is a variational method, and the second follows a dynamic programming approach. Because of the infinite dimensionality