Two M/M/1 queues with transfers of customers

Queueing Systems

Volumn 42, Issue 4, 2002, Pages 377-400

  He, Qi Ming ^a   Neuts, Marcel F ^b  

^a DALHOUSIE UNIVERSITY   (Canada)

^b University of Arizona   (United States)

Author keywords

Exponential decay; Markov process; Matrix analytic methods; Mean drift method; Queueing theory

Indexed keywords

DECAY (ORGANIC); MARKOV PROCESSES; QUEUEING NETWORKS; SALES; SYSTEM STABILITY;

EXPONENTIAL DECAYS; MATRIX ANALYTIC METHODS; MATRIX-GEOMETRIC SOLUTIONS; MEAN-DRIFT METHOD; QUEUEING PROCESS; STATIONARY DISTRIBUTION; SYSTEM OPTIMIZATIONS; TRAFFIC INTENSITY;

QUEUEING THEORY;

EID: 0036424661     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/A:1020941305448     Document Type: Article

References (16)

1. I.J.B.F. Adan, J. Wessels and W.H.M. Zijm, Analysis of the asymmetric shortest queue problem with threshold jockeying, Stochastic Models 7 (1991) 615-628.
2. W. Cohen, Single Server Queues (North-Holland, Amsterdam, 1980).
3. R.D. Foley and D.R. McDonald, Join the shortest queue: Stability and exact asymptotics (1998) submitted for publication.
4. B. Hajek, Optimal control of two interacting service stations, IEEE Trans. Automat. Control 29 (1984) 491-499.
5. I.A. Kurkova and Yu.M. Suhov, Malyshev's theory and JS-queues: Asymptotics of stationary probabilities (2001) submitted for publication.
6. G. Latouche and V. Ramaswami, Introduction to Matrix Analytic Methods in Stochastic Modelling (ASA/SIAM, Philadelphia, PA, 1999).
7. S.A. Lippman, Applying a new device in the optimization of exponential queuing systems, Oper. Res. 23 (1975) 687-710.
8. M.F. Neuts, Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach (Johns Hopkins Univ. Press, Baltimore, MD, 1981).
9. M.F. Neuts, The caudal characteristic curve of queues, Adv. in Appl. Probab. 18 (1986) 221-254.
10. M.F. Neuts, Structured Stochastic Matrices of M/G/1 Type and Their Applications (Marcel Dekker, New York, 1989).
11. W. Whitt, Deciding which queue to join: Some counterexamples, Oper. Res. 34 (1986) 55-62.
12. S.H. Xu and H. Chen, On the asymptote of the optimal routing policy for two service stations, IEEE Trans. Automat. Control 38 (1993) 187-189.
13. S.H. Xu, R. Righter and J.G. Shanthikumar, Optimal dynamic assignment of customers to heterogeneous servers in parallel, Oper. Res. 40 (1992) 112-1138.
14. S.H. Xu and Y.Q. Zhao, Dynamic routing and jockeying controls in a two-station queueing system, Adv. in Appl. Probab. 28 (1996) 1201-1226.
15. Y. Zhao and W.K. Grassmann, The shortest queue model with jockeying, Naval Res. Logistics 37 (1990) 773-783.
16. Y. Zhao and W.K. Grassmann, Queueing analysis of a jockeying model, Oper. Res. 43 (1995) 520-529.