Heavy traffic approximations for a system of infinite servers with load balancing

Probability in the Engineering and Informational Sciences

Volumn 13, Issue 3, 1999, Pages 251-273

  Fleming, Philip J ^a   Simon, Burton ^b  

^a MOTOROLA INC   (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INDUSTRIAL ENGINEERING;

HEAVY-TRAFFIC APPROXIMATION; INFINITE NUMBERS; JOINT PROBABILITY; QUEUEING SYSTEM; STATE-SPACE COLLAPSE; STATIONARY BEHAVIOR; TRAFFIC LOADS;

ENGINEERING;

EID: 0033440011     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0269964899133011     Document Type: Article

References (10)

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2. Borovkov, A.A. (1967). On limit laws for service processes in multi-channel systems. Siberian Mathematics Journal 8: 746-763.
3. Gardiner, C.W. (1997). Handbook of stochastic methods. Berlin: Springer-Verlag.
4. Hariharan, R., Kulkarni, V.G., & Stidham, S. (1990). Optimal control of two infinite server queues. Proceedings of the 29th IEEE Conference on Decision and Control, Hawaii.
5. Iglehart, D.L. (1965). Limiting diffusion approximations for the many server queue and the repairman problem. Journal of Applied Probability 2: 429-441.
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10. Whitt, W. (1984). Heavy-traffic approximation for service systems with blocking. AT&T Bell Laboratories Technical Journal 63: 689-708.