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- Title
Hitting time in Erlang loss systems with moving boundaries.
- Authors
Nilsson, Martin
- Abstract
When the boundary-the total number of servers- in an Erlang loss system is a function of time, customers may also be lost due to boundary variations. On condition that these customers are selected independently of their history, we solve for the hitting-time distribution and transient distribution of busy servers. We derive concise asymptotic expressions in the time domain for normal loads in the heavy-traffic limit, i.e., when the offered load $$\rho $$ is high, and the number of servers scales as $$\rho +O\left( \sqrt{\rho }\right) $$ . The solutions are computationally efficient, and simulations confirm the theoretical results.
- Subjects
ERLANG (Computer program language); INTERNET servers; CLIENT/SERVER computing; QUEUING theory; POLYNOMIALS; BOUNDARY value problems
- Publication
Queueing Systems, 2014, Vol 78, Issue 3, p225
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-014-9399-5