Fuzzy control of two-station queueing networks with two types of customers

Journal of Intelligent and Fuzzy Systems

Volumn 8, Issue 1, 2000, Pages 27-42

  Zhang, Runtong ^a,b   Phillis, Yannis A ^a  

^a TECHNICAL UNIVERSITY OF CRETE   (Greece)

^b BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034393151     PISSN: 10641246     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. J.P.C. Blanc, P.R. Waal, P. Nain and D. Towsley, Optimal control of admission to a multiserver queue with two arrival streams, IEEE Trans. Automat. Contr. 37 (1992), 785-797.
2. P. Bremaud, Point Processes and Queues, Springer, New York, 1981.
3. H. Chen, Optimal intensity control of a multi-class queue, Queueing Syst. 5 (1989), 281-294.
4. H. Chen, P. Yang and D.D. Yao, Control and scheduling in a two-station queueing network: Optimal policies and heuristics, Queueing Syst. 18 (1994), 301-332.
5. T.B. Crabill, Optimal control of a service facility with variable exponential service time and constant arrival rate, Man. Sci. 18 (1972), 560-566.
6. D. Driankov, H. Hellendoorn and M. Reinfrank, An Introduction to Fuzzy Control, Springer-Verlag, New York, 1993.
7. A. Ephremides, P.V. Varaiya and J. Walrand, A simple dynamic routing problem, IEEE Trans. Automat. Contr. AC-25 (1980), 690-693.
8. H. Ghoneim and S. Stidham, Optimal control of arrivals to two queues in series, Europe. J. Operat. Res. 21 (1985), 399-409.
9. B. Hajek, Optimal control of two interacting service stations, IEEE Trans. Automat. Contr. AC-29 (1984), 421-429.
10. J.M. Harrison and L.M. Wein, Scheduling networks of queues: Heavy traffic analysis of a simple open network, Queueing Syst. 5 (1989), 265-280.
11. K.Y. Jo, Optimal service rate control of exponential queueing systems, J. Operat. Res. Soc. of Jpn 26 (1983), 147-165.
12. K.Y. Jo and S. Stidham (Jr.), Optimal service-rate control of M/G/1 queueing systems using phase methods, Adv. Appl. Prob. 15 (1983), 616-637.
13. S.G. Johansen and S. Stidham (Jr.), Control of arrival to a stochastic input-output system, Adv. Appl. Prob. 12 (1980), 972-999.
14. A.A. Lazar, Optimal flow control of a class of queueing networks in equilibrium, IEEE Trans. Automat. Contr. AC-28 (1983), 1001-1007.
15. W. Lin and P.R. Kumar, Optimal control of a queueing system with two heterogeneous servers, IEEE Trans. Automat. Contr. AC-29 (1984), 696-703.
16. S.A. Lippman, Applying a new device in the optimization of exponential queuing systems, Operat. Res. 23 (1975), 687-710.
17. P. Naor, On the regulation of queue size by levying tolls, Econometrica 37 (1969), 15-24.
18. K. Ohno and K. Ichiki, Computing optimal policies for controlled tandem queueing systems, Operat. Res. 35 (1987), 121-126.
19. M. Parlar, Optimal dynamic service rate control in time dependent M/M/S/N queues, Int. J. Systems Sci. 15 (1984), 107-118.
20. Z. Rosberg, P.P. Varaiya and J.C. Walrand, Optimal control of service in tandem queues, IEEE Trans. Automa. Contr. AC-27 (3) (1982), 600-610.
21. A. Seidmann and P.J. Schweitzer, Customer selection policy for a flexible manufacturing cell feeding several production lines, IIE Trans. 16 (1984), 355-362.
22. J.G. Shanthikumar and D.D. Yao, Multiclass queueing systems: Polymatroidal structure and optimal scheduling control, Operat. Res. 40 (1992), 293-299.
23. T. Shioyama, Optimal control of a queueing network system with two types of customers, Euro. J. Operat. Res. 52 (1991), 367-372.
24. S. Stidham (Jr.), Optimal control of admission to a queueing system, IEEE Trans. Automa. Contr. AC-30 (1985), 705-713.
25. S. Stidham (Jr.) and R. Weber, A survey of Markov decision models for control of networks of queues, Queueing Syst. 13 (1993), 291-314.
26. J. Teghem (Jr.), Control of the service process in a queueing system, Euro. J. Operat. Res. 23 (1986), 141-158.
27. I. Viniotis and A. Ephremides, Extension of the optimality of the threshold policy in heterogeneous multiserver queueing systems, IEEE Trans. Automa. Contr. 33 (1988), 104-109.
28. R.R. Weber and S. Stidham (Jr.), Optimal control of service rates in networks of queues, Adv. Appl. Prob. 19 (1987), 202-218.
29. L.M. Wein, Optimal control of a two-station Brownian network, Math. Operat. Res. 15 (1990), 215-242.
30. L.M. Wein, Scheduling networks of queues: Heavy traffic analysis of a two-station network with controllable inputs, Operat. Res. 38 (1990), 1065-1078.
31. S. Xu, R. Righter and J.G. Shanthikumar, Optimal dynamic assignment of customers to heterogeneous servers in parallel, Operat. Res. 40 (1992), 1126-1138.
32. U. Yechiali, Customers' optimal joining rules for the GI/M/ s queue, Man. Sci. 18 (1972), 434-443.
33. R. Zhang and Y.A. Phillis, Fuzzy service control of M/M/1 queues, in: Proc. Second World Automation Congress, Vol. 5, Montpellier, France, 1996, pp. 731-736.
34. R. Zhang and Y.A. Phillis, Fuzzy service rate control of queueing systems, in: Proc. 1996 IEEE International Conference on Systems, Man and Cybernetics, Vol. 4, Beijing, China, 1996, pp. 3045-3050.
35. R. Zhang and Y.A. Phillis, Fuzzy routing of queueing systems with heterogeneous severs, in: Proc. 1997 IEEE International Conference on Robotics and Automation, Vol. 3, Albuquerque, NM, USA, 1997, pp. 2340-2345.
36. R. Zhang and Y.A. Phillis, A fuzzy approach to flow control problems, J. Intelligent and Fuzzy Systems 6 (1998), 447-458.