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Queuing analysis of polling models
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Volume 20 ,  Issue 1  (March 1988) table of contents
Pages: 5 - 28  
Year of Publication: 1988
ISSN:0360-0300
Author
Hideaki Takagi  IBM Research, Tokyo, Japan
Publisher
ACM  New York, NY, USA
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ABSTRACT

A polling model is a system of multiple queues accessed by a single server in cyclic order. Polling models provide performance evaluation criteria for a variety of demand-based, multiple-access schemes in computer and communication systems. This paper presents an overview of the state of the art of polling model analysis, as well as an extensive list of references. In particular, single-buffer systems and infinite-buffer systems with exhaustive, gated, and limited service disciplines are treated. There is also some discussion of systems with a noncyclic order of service and systems with priority. Applications to computer networks are illustrated, and future research topics are suggested.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

1
 
2
ALFORD, M., AND MUNTZ, R. R. 1975. Queueing models for polled multiqueues. In Proceedings of the 4th Texas Conference on Computing Systems, pp. 5B-2.1-2.5.
 
3
AMINETZAH, Y. 1975. An exact approach to the polling system. Ph.D. dissertation, Dept. of Electrical Engineering, McGill Univ., Montreal, Quebec.
 
4
APPLETON, J. M., AND PETERSON, M. M. 1986. Traffic analysis of a token ring PBX. iEEE Trans. Comrnun. COM-34, 5 (May), 417-422.
 
5
ARNDT, K., AND SULANKE, H. 1984. A queueing system with relative and cyclic priorities. Elektron. Inf. Kybern. 20, 7/9 (Sept.), 423-425.
 
6
AVI-ITZHAK, B., MAXWELL, W. L., AND MILLER, L. W. 1965. Queueing with alternating priorities. Oper. Res. 13, 2 (Mar.-Apr.), 306-318.
 
7
 
8
BAKER, J. E., AND RUBIN, I. 1987. Polling with a general-service order table. IEEE Trans. Commun. COM-35, 3 (Mar.), 283-288. Also in Proceedings of the IEEE Global Telecommunications Conference (GLOBECOM '86) (Houston, Tex., Dec. 1-4, 1986) pp. 6-11.
9
 
10
 
11
BHARUCHA-REID, A. T. 1960. Elements of the Theory of Markov Processes and Their Applications. McGraw-Hill, New York.
 
12
 
13
 
14
BOXMA, O. J., AND GROENENDIJK, W. P. 1986. Pseudo-conservation laws in cyclic-service systems. Rep. OS-R8606, Centre for Mathematics and Computer Science, Amsterdam.
 
15
BOXMA, O. J., AND GROENENDIJK, W. P. 1987. Two queues with alternating service and switching times. Rep. OS-R8712, Centre for Mathematics and Computer Science, Amsterdam.
 
16
BOXMA, O. J., AND GROENENDIJK, W. P. 1988. Waiting times in discrete-time cyclic-service systems. IEEE Trans. Commun. COM-36, 2 (Feb.), 164-170.
17
 
18
 
19
 
20
BRODETSKY, G. L. 1973. Analysis of a model with cyclic servicing of packages of orders. Eng. Cybern. 11, 3, 412-422.
 
21
BRODETSKY, G. L., AND VINNITSKII, V. P. 1973. Some characteristics of systems with cyclic data processing. Cybernetics 9, 3 (May-June), 407-413.
 
22
BUX, W. 1981. Local-area subnetworks: A performance comparison. IEEE Trans. Cornmun. COM- 29, 10 (Oct.), 1465-1473. Reprinted in Advances in Local Area Networks, K. K/Jmmerle, F. A. Tobagi, and J. O. Limb, Eds. IEEE Press, N.Y., 1987, pp. 363-382.
 
23
BUX, W. 1984. Performance issues in local-area networks. IBM Syst. J. 23, 4, 351-374.
 
24
BUX, W. 1987. Modeling token ring networks--A survey. IBM Res. Rep. RZ 1615, IBM Z(irich Research Laboratory, R/Jschlikon, Switzerland.
 
25
BUX, W., AND TRUONG, H. L. 1983. Mean-d~lay approximation for cyclic service queueing systems. Perform. Eval. 3, 3 (Aug.), 187-196. Also, Token-ring performance: Mean-delay approximation, In Proceedings of the lOth international Teletraffic Congress, pp. 3.3.3-1-3.3.3-7.
 
26
BUX, W., CLOSS, F. H., KUEMMERLE, K., KELLER, H. J., AND MUELLER, I-I. R. 1983. Architecture and design of a reliable token-ring network. IEEE J. Selected Areas Cornmun. SAC-l, 5 (Nov.), 756-765. Reprinted in Advances in Local Area Networks, K. K~immerle, F. A. Tobagi, and J. O. Limb, Eds. IEEE Press, N.Y., 1987, pp. 67-80.
 
27
CARSTEN, R. T., AND POSNER, M. J. M. 1978. Simplified statistical models of single and multiple Newhall loops. 1978 National Telecommunications Conference (Birmingham, Ala., Dec. 3-6), pp. 44.5.1-44.5.7, IEEE, New York.
 
28
CARSTEN, R. T., NEWHALL, E. E., AND POSNER, M. J. M. 1977. A simplified analysis of scan times in an asymmetrical Newhall loop with exhaustive service. IEEE Trans. Cornrnun. COM-25, 9 (Sept.), 951-957.
 
29
CHOU, W. 1978. Terminal response time on polled teleprocessing networks. In Proceedings of Computer Network Symposium (Dec.).
 
30
CHU, W. W., AND KONHEIM, A. G. 1972. On the analysis and modeling of a class of computer communication systems, iEEE Trans. Cornmun. COM-20, 3 (June), Part 2, 645-660.
 
31
COFFMAN, E. G. JR., AND GILBERT, E. N. 1986. A continuous polling system with constant service times. IEEE Trans. Inf. Theory IT-33, 4 (July), 584-591.
 
32
 
33
COFFMAN, E. G., JR., AND HOFRI, M. 1982. On the expected performance of scanning disks. SlAM J. Comput. 11, i (Feb.), 60-70.
 
34
 
35
 
36
 
37
COHEN, J. W., AND BOXMA, O. J. 1981. The M/G/1 queue with alternating service formulated as a Riemann-Hilbert problem. In Performance '81, F. J. Kylstra, Ed. North-Holland Publishing Co., Amsterdam, pp. 181-199.
 
38
COHEN, J. W., AND BOXMA, O. J. 1983. Boundary Value Problems in Queueing System Analysis. Mathematics Studies 79. North-Holland Publishing Co., Amsterdam.
 
39
COLVIN, M. A., A~D WEAVER, A. C. 1986. Performance of single access classes on the IEEE 802.4 token bus. IEEE Trans. Commun. COM-34, 12 (Dec.), 1253-1256.
 
40
CONWAY, R. W., MAXWELL, W. L., AND MILLER, L. W. 1967. Theory of Scheduling. Addison- Wesley, Reading, Mass.
 
41
COOPER, R. B. 1970. Queues served in cyclic order: Waiting times. Bell Syst. Tech. Jr. 49, 3 (Mar.), 399-413.
 
42
COOPER, R. B. 1981. Introduction to Queueing Theory. 2d ed. Elsevier North-Holland, New York.
 
43
COOPER, R. B., AND MURRAY, G. 1969. Queues served in cyclic order. Bell Syst. Tech. J. 48, 3 (Mar.), 675-689.
 
44
DARROCH, J. N., NEWELL, G. F., AND MORRIS, R. W. J. 1964. Queues for a vehicle-actuated traffic light. Oper. Res. 12, 6 (Nov.-Dec.), 882-895.
 
45
DAVIES, P., AND GHANI, F. A. 1983. Access protocols for an optical-fibre ring network. Comput. Commun. 6, 4 (Aug.), 185-191.
 
46
DE MORAES, L. F. M. 1981. Message queueing delays in polling schemes with applications to data communication networks. Ph.D. dissertation, UCLA-ENG-8106, Dept. of System Science, School of Engineering and Applied Science, Univ. of California, Los Angeles, Calif.
 
47
DE MORAES, L. F. M. 1987. Comments on "Analysis and applications of a multiqueue cyclic service system with feedback." Tech. Rep., Instituto Militar de Engenharia-RJ, Rio de Janeiro, Brazil.
 
48
DE MORAES, L. F. M., AND RUBIN, I. 1983. On the performance of gated and exhaustive polling under unbalanced traffic. In Proceedings of the iEEE Global Telecommunications Conference (GLOBECOM '83) (San Diego, Calif., Nov 28-Dec. 1). IEEE, New York, pp. 1054-1059.
 
49
DE MORAES, L. F. M., AND RUBIN, i. 1984. Analysis and comparison of message queueing delays in token-rings and token-buses local area networks. In Proceedings of the IEEE International Con{erence on Communications (ICC '84) (Amsterdam, May 14-17). IEEE, New York, pp. 130-135.
 
50
 
51
DOU, C., AND CHANG, J.-F. 1987. Polling of two queues with synchronized correlated inputs and zero walktime. In Proceedings of IEEE INFOCOM '87 (San Francisco, Mar. 31-Apr. 2). IEEE, New York, pp. 952-961.
 
52
DUKHOVNYI, I. M. 1969. A single-channel queueing system with alternating priority. Prob. In{. Transrn. 5, 2 (Apr.-June), 47-55.
 
53
DUKHOVNYY, I. M. 1979. An approximate model of motion of urban passenger transportation over annular routes. Eng. Cybern. 17, 1, 161-162.
 
54
EISENBERG, M. 1971. Two queues with changeover times. Oper. Res. 19, 2 (Mar.-Apr.), 386-401.
 
55
EISENBERG, M. 1972. Queues with periodic service and changeover times. Oper. Res. 20, 2 (Mar.-Apr.), 440-451.
 
56
EISENBERG, M. 1979. Two queues with alternating service. SIAM J. Appl. Math. 36, 2 (Apr.), 287-303.
 
57
EVERITT, D. 1986. Simple approximations for token rings. IEEE Trans. Commun. COM-34, 7 (July), 719-721.
 
58
 
59
FERGUSON, M. J. 1986b. Computation of the variance of the waiting time for token rings. IEEE J. Selected Areas Commun. SAC-4, 6 (Sept.), 775-782.
 
60
FERGUSON, M. J., AND AMINETZAH, Y. J. 1985. Exact results for nonsymmetric token ring systems. IEEE Trans. Commun. COM-33, 3 (Mar.), 223-231.
 
61
FINE, M., AND TOBAGI, F. A. 1984. Demand assignment multiple access schemes in broadcast bus local area networks. IEEE Trans. Comput. C-33, 12 (Dec.), 1130-1159.
 
62
FISCHER, M. J. 1977. Analysis and design of loop service systems via a diffusion approximation. Oper. Res. 25, 2 (Mar.-Apr.), 269-278.
 
63
FUHRMANN, S. W. 1985. Symmetric queues served in cyclic order. Oper. Res. Lett. 4, 3 (Oct.), 139-144.
 
64
FUHRMANN, S. W. 1987. Inequalities for cyclic service systems with limited service disciplines. In Proceedings of IEEE/IEICE Global Telecommunications Conference 1987 (Tokyo, Nov. 15-18). IEEE, New York, pp. 182-186.
 
65
FUHRMANN, S. W., AND COOPER, R. B. 1985a. Application of decomposition principle in M/G/1 vacation model to two continuum cyclic queueing models--Especially token-ring LANs. A T&T Tech. J. 64, 5 (May-June), 1091-1099.
 
66
FUHRMANN, S. W., AND COOPER, R. B. 1985b. Stochastic decompositions in the M/G/1 queue with generalized vacations. Oper. Res. 33, 5 (Sept.-Oct.), 1117-1129.
 
67
FUHRMANN, S. W., AND WANG, Y. T. 1987. Analysis of cyclic service systems with limited service: Bounds and approximations. Tech. Paper, AT&T Bell Laboratories, Holmdel, N.J.
 
68
 
69
FUKAGAWA, Y., YANARU, T., AND YOSHIDA, $. 1986a. Multiqueues system with controlled and cyclic service. Trans. Inst. Electron. Commun. Eng. Jpn J69-A, 1 (Jan.), 25-31 (in Japanese).
 
70
FUKAGAWA, Y., YANARU, T., AND YOSHIDA, S. 1986b. A cyclic time of multiqueues with priority service rule. Trans. Inst. Electron. Commun. Eng. Jpn J69-A, i (Jan.), 159-160 (in Japanese).
 
71
FUKAGAWA, Y., YANARU, T., AND YOSHIDA, S. 1987. An approximate analysis for a multiqueue with a non-preemptive priority and cyclic service. Trans. Inst. Electron. Inf. Commun. Eng. J70-A, 9 (Sept.), 1351-1354 (in Japanese).
 
72
GERSHT, A. M., AND MARBUKH, V. V. 1975. Queueing systems with readjustment. Eng. Cybern. 13, 4, 55-65.
 
73
GIANINI, J., AND MANFIELD, D. 1988. Cyclic multiqueue systems with two priority classes and exhaustive service. In Data Communication Systems and Their Performance. L. F. M. de Moraes, E. de Souza e Silva and L. F. G. Soares, Eds. Elsevier North-Holland, Amsterdam, pp. 511-526. Perform. Eval. 8, 2 (Apr.), 93-115.
 
74
GOLD, Y. I., AND FRANTA, W. R. 1983. An efficient collision-free protocol for prioritized accesscontrol of cable or radio channels. Comput. Networks 7, 2 83-98.
 
75
GOYAL, A., AND DIAS, D. 1988. Performance of priority protocols on high speed token ring networks. In Data Communication Systems and Their Performance, L. F. M. de Moraes, E. de Souza e Silva, and L. F. G. Soares, Eds. Elsevier North-Holland, Amsterdam, pp. 25-34.
 
76
GROENENDIJK, W. P. 1988. Waiting-time approximations for cyclic-service systems with mixed service strategies. In Proceedings of the 12th International Teletraffic Congress (Torino, Italy).
 
77
HALFIN, S. 1975. An approximate method for calculating delays for a family of cyclic-type queues. Bell Syst. Tech. J. 54, 10 (Dec.), 1733-1754.
 
78
 
79
HASHIDA, O. 1970. Gating multiqueues served in cyclic order. Syst. Comput. Controls 1, 1, 1-8. Also in Trans. Inst. Electron. Commun. Eng. Jpn 53-A, 1 (Jan.), 43-50 (in Japanese).
 
80
HASHIDA, O. 1972. Analysis of multiqueue. Rev. Elect. Commun. Lab. 20, 3-4 (Mar.-Apr.), 189-199.
 
81
HASHIDA, O. 1981. A study of multiqueues in communication control. Ph.D. dissertation, Univ. of Tokyo, Tokyo (in Japanese).
 
82
HASHIDA, O., AND KAWASHIMA, K. 1979. Analysis of a polling system with single user at each terminal. Trans. Inst. Electron. Commun. Eng. Jpn J62-B, 12 (Dec.), 1097-1102 (in Japanese). Also in Rev. Electric. Commun. Lab. 29, 3-4 (Mar.-Apr.), 245-253, 1981.
 
83
HASHIDA, O., AND OHARA, K. 1972. Line accommodation capacity of a communication control unit. Rev. Electr. Commun. Lab. 20, 3-4 (Mar.-Apr.), 231-239.
 
84
HASHIMOTO, K., AND OHMAE, Y. 1986. Performance on the multiple ring networks. Trans. Inf. Process. Soc. Jpn 27, 10 (Oct.), 1003-1010 (in Japanese).
 
85
HAWKES, A. G. 1963. Queueing at traffic intersection. In Proceedings of the 2nd International Symposium on the Theory of Traffic Flow (London).
 
86
HAYES, J. F. 1981. Local distribution in computer communications. IEEE Commun. Mag. 19, 2 (Mar.), 6-14. Also in Advances in Local Area Networks, K. Kiimmerle, F. A. Tobagi, and J. O. Limb, Eds. IEEE Press, New York, 1987, pp. 302-317.
 
87
 
88
 
89
HAYES, J. F., AND SHERMAN, D. N. 1972. A study of data multiplexing techniques and delay performance. Bell Syst. Tech. J. 51, 9 (Nov.), 1983-2011.
 
90
HEYMAN, D. P. 1983. Data-transport performance analysis of Fasnet. Bell Syst. Tech. J. 62, 8 (Oct.), 2547-2560.
91
 
92
 
93
HUMBLET, P. A. 1978. Source coding for communication concentrators. Rep. ESL-R-798, Electronic Systems Laboratory, Massachusetts Institute of Technology, Cambridge, Mass.
 
94
 
95
IBE, O. C., AND CHEN, P.-Y. 1985. Hybrinet: A hybrid bus and token ring network. Comput. Networks ISDN Syst. 9, 3 (Mar.), 215-221.
 
96
IBE., O. C,, AND CHENG, X. 1986. Analysis of polling systems with single-message buffers. In Proceedings of the IEEE Global Telecommunications Conference (GLOBECOM '86) (Houston, Tex., Dec. 1-4). IEEE, New York, pp. 939-943.
 
97
IISAKU, S., MIKI, N., NAGAI, N., AND HATORI, K. 1980. A consideration of multiqueues with nonexhaustive and cyclic service. Trans. Inst. Electron. Commun. Eng. Jpn J63-B, 11 (Nov.), 1102-1109 (in Japanese).
 
98
IISAKU, S., MIKI, N., NAGAI, N., AND HATORI, K. 1981a. Two queues with alternating service and walking time. Trans. Inst. Electron. Commun. Eng. Jpn J64-B, 4 (Apr.), 342-343 (in Japanese).
 
99
IISAKU, S., MIKI, N., NAGAI, N., AND HATORI, K. 1981b. Relationship of the number of waiting customers to waiting time of multiques with nonexhaustive and cyclic service. Trans. Inst. Electron. Commun. Eng. Jpn J64-B, 8 (Aug.), 891-892 (in Japanese).
 
100
JAISWAL, N. K. 1968. Priority Queues. Academic Press, New York.
 
101
KAMAL, A. E., AND HAMACHER, V, C. 1986. Approximate analysis of non-exhaustive multiserver polling systems with applications to local area networks. Tech. Rep. Dept. of Computing Science, Univ. of Alberta, Edmonton, Alberta, Canada.
 
102
KANADA, Y., AND IKEDA, T. 1987. On a multi-ring local area network. Trans. Inst. Electron. Inf. Commun. Eng. J70-B, 8 (Aug.), 903-911 (in Japanese).
 
103
KARVELAS, D., AND LEON-GARCIA, A. 1986. Performance of integrated packet voice/data tokenpassing rings. IEEE J. Selected Areas Comrnun. SAC-4, 6 (Sept.), 823-832.
 
104
KAYE, A. R. 1972. Analysis of a distributed control loop for data transmission, in Proceedings of the Symposium on Computer-Communications Networks and Teletraffic. Polytechnic Institute of Brooklyn, Brooklyn, N.Y., pp. 47-58.
 
105
KAYE, A. R., AND RICHARDSON, T. G. 1973. A performance criterion and traffic analysis for polling systems. INFOR, Can. J. Oper. Res. Inf. Process. 11, 2 (June), 93-112.
 
106
KIMURA, G., AND TAKAHASHI, Y. 1986. Diffusion approximation for a token ring system with nonexhaustive service. IEEE J. Selected Areas Commun. SAC-4, 6 (Sept.), 794-801.
 
107
KIMURA, G., AND TAKAHASHI, Y. 1987a. Traffic analysis for token ring systems with limited service. Trans. Inst. Electron. In{. Commun. Eng. J70-B, 3 (Mar.), 327-336 (in Japanese).
 
108
KIMURA, G., AND TAKAHASHI, Y. 1987b. An approximation for a token ring system with priority classes of messages. J. Inf. Process. 10, 2, 86-91.
 
109
KLEINROCK, L. 1976. Queueing Systems. Vol. 2, Computer Applications. Wiley, New York.
 
110
KLEINROCK, L., AND SCHOLL, M. O. 1980. Packet switching in radio channels: New conflict-free access schemes. IEEE Trans. Commun. COM-28, 7 (July), 1015-1029.
 
111
KOBAYASHI, H., AND KONHEIM, A. G. 1977. Queueing models for computer communications system analysis. IEEE Trans. Commun. COM-25, i (Jan.), 2-29.
 
112
KONHEIM, A. G. 1976. Chaining in a loop system. IEEE Trans. Commun. COM-24, 2 (Feb.), 203-210.
 
113
KONHEIM, A. G. 1980. Mathematical models for computer data communication. In Case Studies in Mathematical Modeling, W. E. Boyce, Ed. Pitman Advanced Publishing Program, Boston, Mass., pp. 256-334.
114
 
115
KRUSKAL, J. B. 1969. Work-scheduling algorithms: A non-probabilistic queueing study (with possible application to No. i ESS). Bell Syst. Tech. J. 48, (Nov.), 2963-2974.
 
116
KSCHISCHANG, F. R., AND MOLLE, M. L. 1987. The helical window token ring. Tech. Rep. Dept. of Electrical Engineering, Univ. of Toronto, Toronto, Canada.
 
117
KUEHN, P. J. 1979. Multiqueue systems with nonexhaustive cyclic service. Bell Syst. Tech. J. 58, 3 (Mar.), 671-698.
 
118
KUEHN, P. J. 1981. Performance of ARQ-protocols for HDX transmission in hierarchical polling systems. Perform. Eval. 1, I (Jan.), 19-30.
 
119
KUROSAWA, K., AND TSUJII, S. 1981. Analysis on asymmetric polling systems with limiting service. in Proceedings of the National Telecommunications Conference 1981 (New Orleans, La., Nov. 29- Dec. 3). IEEE, New York, pp. G.4.2.1-G.4.2.5.
 
120
LAM, S. S. 1983. Multiple access protocols. Computer Communications. Vol. I, Principles, W. Chou, Ed. Prentice Hall, Englewood Cliffs, N.J., pp. 114-155.
 
121
LEE, T. T. 1983. M/G/1/N queue with vacation time and limited service discipline. Tech. Memo. AT&T Bell Laboratories, Holmdel, N.J.
 
122
LEE, T. T. 1984. M/G/1/N Queue with vacation time and exhaustive service discipline. Oper. Res. 32, 4 (Jul.-Aug.), 774-784.
 
123
LEIBOWiTZ, M. A. 1961. An approximate method for treating a class of multiqueue problems. IBM J. Res. Dev. 5, 3 (July), 204-209.
 
124
LEIBOWITZ, M. A. 1962. A note on some fundamental parameters of multiqueue systems. IBM J. Res. Dev. 6, 4 (Oct.), 470-471.
 
125
LEISOWlTZ, M. A. 1968. Queues. Sci. Am. 219, 2 (Aug.), 96-103.
 
126
 
127
LEVY, H. 1986. Delay computation and dynamic behavior of nonsymmetric polling systems. Tech. Paper. AT&T Bell Laboratories, Holmdel, N.J.
 
128
MACK, C. 1957. The efficiency of N machines uni-directionally patrolled by one operative when walking time is constant and repair times are variable. J. Roy. Stat. Soc. Series B, 19, 1, 173-178.
 
129
MACK, C., MURPHY, T., AND WEBB, N. L. 1957. The efficiency of N machines uni-directionally patrolled by one operative when walking time and repair times are constants. J. Roy. Star. Soc. Series B, 19, 1, 166-172.
 
130
MANFIELD, D. R. 1983. Analysis of a pollirig system with priorities. In Proceedings of the iEEE Global Telecommunications Conference (San Diego, Calif., Nov. 28-Dec. 1). IEEE, New York, pp. 1504-1508.
 
131
MANFIELD, D. R. 1985. Analysis of a priority polling system for two-way traffic. IEEE Trans. Commun. COM-33, 9 (Sept.), 1001-1006.
 
132
MAPP, G. E., AND MANFIELD, D. R. 1986. Performance analysis of priority polling systems with complex cycles. In Proceedings of the International Council for Computer Communication 1986, P. Kuehn, Ed. (Munich, Sept.). Elsevier North-Holland, Amsterdam, pp. 583-588.
 
133
 
134
MASE, K. 1977. An approximate method for treating a queueing model of a class of time division multiplexing. Trans. Inst. Electron. Commun. Eng. Jpn. J60-A, 3 (Mar.), 332-333 (in Japanese).
 
135
MILLER, L. W. 1964. Alternating priorities in multiclass queues. Ph.D. dissertation, Dept. of Industrial Engineering, Cornell Univ., Ithaca, N.Y.
 
136
MORRIS, R. J. T., AND WANG, Y. T. 1984. Some results for multi-queue systems with multiple cyclic servers. In Performance of Computer-Communication Systems, H. Rudin and W. Bux, Eds. Elsevier North-Holland, Amsterdam, pp, 245-258.
 
137
MURATA, M., AND TAKAGI, H. 1987a. Two-layer modeling for local area networks. In Proceedings of IEEE INFOCOM '87 (San Francisco, Mar. 31-Apr. 2). IEEE, New York, pp. 132-140.
 
138
MURATA, M., AND TAKAGI, H. 1987b. Performance of token ring networks with a finite capacity bridge. TRL Res. Rep., TR87-0027, IBM Japan, Tokyo.
 
139
NAHMIAS, S., AND ROTttKOPF, M. H. 1984. Stochastic models of internal mail delivery systems. Manage. Sci. 30, 9 (Sept.), 1113-1120.
 
140
NAIR, S. S. 1976. Alternating priority queues with non-zero switch rules. Comput. Oper. Res. 3, 337-346.
 
141
NEUTS, M. F., AND YADIN, M. 1968. The transient behavior of the queue with alternating priorities, with special reference to the waitingtimes. Bull. Soc. Math. Belg. 20, 343-376.
 
142
NISHIDA, T., MURATA, M., MIYAHARA, H., AND TAKASHIMA, K. 1983. Prioritized token passing method in ring-shaped local area networks. In Proceedings of the IEEE international Conference on Communications (ICC '83) (Boston, june 19-22). IEEE, New York, pp. D.2.2.1-D.2.2.6.
 
143
NISHIDA, T., MURATA, M., MIYAHARA, H., AND TAKASHIMA, K. 1986. An approximate analysis of a prioritized token passing method in ring-shaped local area networks. Trans. Inst. Electron. Commun. Eng. Jpn E-69, i (Jan.), 29-39.
 
144
NOGUCHI, K., SHIRATORI, N., AND NOGUCHI, S. 1984. Analysis of a multiqueue with finite buffers. Queueing Theory and Its Applications, Lecture Note 519. Research Institute for Mathematical Science, Kyoto Univ., Kyoto, Japan, pp. 114-136 (in Japanese).
 
145
NOMURA, M., AND TSUKAMOTO, K. 1978. Traffic analysis on polling systems. Trans. Inst. Electron. Commun. Eng. Jpn. J61-B, 7 (July), 600-607 (in Japanese).
 
146
OZAWA, T. 1987a. An analysis for multi-queueing systems with cyclic-service discipline: Models with exhaustive and gated services. IEICE Tech. Rep. The Institute of Electronics, information and Communication Engineers of Japan, Tokyo, pp. 19-24 (in Japanese).
 
147
OZAWA, T. 1987b. Analysis of a single server model with two queues having different service disciplines. Tech. Rep. NTT Electrical Communication Laboratories, Musashino-shi, Tokyo.
 
148
PACK, C. D., AND WHITAKER, B. A. 1976. Multipoint private line (MPL) access delay under several interstation disciplines. IEEE Trans. Commun. COM-24, 3 (Mar.), 339-348.
 
149
PANG, J. W. M. 1985. Mean delay analysis for unidirectional broadcast structures for local area networks. Master's thesis, Dept. of Electrical Engineering, Faculty of Applied Science, Univ. of British Columbia, Vancouver, Canada.
 
150
PANG, J. W. M., AND DONALDSON, R. W. 1986. Approximate delay analysis and results for asymmetric token passing and polling networks. IEEE J. Select. Areas Commun. SAC-4, 6 (Sept.), 783-793.
 
151
PENNY, B. K., AND BAGHDADI, A. A. 1979a. Survey of computer communications loop networks: Part 1. Comput. Commun. 2, 4, 165-180.
 
152
PENNY, B. g., AND BAGHDADI, A. A. 1979b. Survey of computer communications loop networks: Part 2. Comput. Commun. 2, 5, 224-241.
 
153
PITTEL, B. G. 1973. Optimal control in a mass service system with several flows of demands. Eng. Cybern. 11, 6, 1029-1044.
 
154
RAITH, T. 1985. Performance analysis of multibus interconnection networks in distributed systems. In 1 lth International Teletraffic Congress, M. Akiyama, Ed. Elsevier North-Holland, Amsterdam, pp. 4.2A-5-1-4.2A-5-7.
 
155
RAITH, T., AND TRAN-GIA, P. 1986. Performance analysis of polling mechanisms with receiver blocking. In Proceedings o{ the International Council {or Computer Communication 1986, P. Kuehn, Ed. (Munich). Elsevier North-Holland, Amsterdam, pp. 577-582.
 
156
REGO, V. J. 1985. Cycle-time distributions in an adaptive token-passing bus network. In Proceedings of the IEEE Global Telecommunications Conference (GLOBECOM '85) (New Orleans, La., Dec. 2-5). IEEE, New York, p. 48.2.
157
 
158
REGO, V. J., AND NI, L. M. 1986. Cycle-time distributions in token-passing local networks. Tech. Paper. Dept. of Computer Sciences, Purdue Univ., West Lafayette, Ind.
 
159
REISER, M. 1982. Performance evaluation of data communications systems. Proc. iEEE 70, 2 (Feb.), 171-196.
 
160
ROBILLARD, P. N. 1974. An analysis of a loop switching system with multirank buffers based on the Markov process. IEEE Trans. Commun. COM-22, 11 (Nov.), 1772-1778.
 
161
RUBIN, I., AND DE MORAES, L. F. M. 1983. Message delay analysis for polling and token multipleaccess schemes for local communication networks. IEEE J. Select. Areas Commun. SAC-l, 5 (Nov.), 935-947.
 
162
RUBIN, I., AND ZSAI, Z.-H. 1987a. Performance of random-access reservation schemes using a polling backbone for metropolitan and packet-radio networks. In Proceedings of the IEEE International Conference on Communications '87 (Seattle, Wash., June 7-10). IEEE, New York, pp. 1427-1431.
 
163
RUBIN, I., AND ZSAI, Z.-H. 1987b. Performance of double-tier access-control schemes using a polling backbone for metropolitan and interconnected communication networks. IEEE J. Select. Areas Commun. SAC-5, 9 (Sept.), 1403-1417.
 
164
RUNNENBERG, J. TH. 1957. Machines served by a patrolling operator. Statistische Afdeling Rep. S221 (VP13), Mathematisch Centrum, Amsterdam.
 
165
SAATY, T. L. 1961. Elements of Queueing Theory with Applications. McGraw-Hill, New York. Reprinted by Dover Publications, New York, 1983.
 
166
SARKAR, D., AND ZANGWILL, W. I. 1987. Expected waiting time for nonsymmetric cyclic queueing systems--Exact results and applications. Tech. Paper. AT&T Bell Laboratories, Holmdel, N.J.
 
167
SAYDAM, W., AND SETHI, A. S. 1985. Performance evaluation of voice-data token ring LANs with random priorities. In Proceedings of IEEE INFOCOM '85 (Washington, D.C., Mar.). IEEE, New York, pp. 326-332.
 
168
SCHAY, G. JR., 1962. Approximate methods for a multiqueueing problem. IBM J. Res. Dev. 6, 2 (Apr.), 246-249.
 
169
SCHOLL, M. O. 1976. Multiplexing techniques for data transmission over packet switched radio systems. Tech. Rep. UCLA-ENG-76123. Computer Science Dept., Univ. of California, Los Angeles, Calif.
 
170
SCHOLL, M., AND KLEINROCK, L. 1983. On the M/G/1 queue with rest periods and certain serviceindependent queueing disciplines. Oper. Res. 31, 4 (Jul.-Aug.), 705-719.
 
171
SCHOLL, M., AND POTIER, D. 1978. Finite and infinite source models for communication systems under polling. IRIA Rapport de Recherche 308. Institut de Rescherche en Informatique et en Automatique, Le Chesnay, France.
 
172
 
173
 
174
SERVI, L. D. 1985. Capacity estimation of cyclic queues. IEEE Trans. Commun. COM-33, 3 (Mar.), 279-282.
 
175
SERVI, L. D. 1986. Average delay approximation of M/G/1 cyclic service queues with Bernoulli schedules. IEEE J. Select. Areas Commun. SAC-4, 6 (Sept.), 813-822; correction in SAC-5, 3 (Apr.), p. 547, 1987.
 
176
SETHI, A. S., AND SAYDAM, W. 1985. Performance analysis of token ring local area networks. Comput. Networks ISDN Syst. 9, 3 (Mar.), 191-200.
 
177
 
178
SHEN, Z., MASUYAMA, S., MURO, S., AND HASEGAWA, T. 1985. Performance evaluation ofprioritized token ring protocols. In 11th International Teletraffic Congress, M. Akiyama, Ed. Elsevier North- Holland, Amsterdam, pp. 4.2A-3-1-4.2A-3-7.
 
179
SKINNER, C. E. 1967. A priority queueing system with server-walking time. Oper. Res. 15, 2 (Mar.-Apr.), 278-285.
 
180
SRINIVASAN, M. M. 1986. An approximation for mean waiting times in cyclic server systems with nonexhaustive service. Tech. Rep. 86-36. Dept. of Industrial and Operations Engineering, Univ. of Michigan, Ann Arbor, Mich.
 
181
SRINIVASAN, M. M., AND LEE, H.-S. 1987. An analysis of a prioritized polling mechanism for cyclic server systems. Tech. Rep. 87-6. Dept. of Industrial and Operations Engineering, Univ. of Michigan, Ann Arbor, Mich.
 
182
SRIVASTAVA, H. M., AND KASHYAP, B. R. K. 1982. Special Functions in Queuing Theory and Related Stochastic Processes. Academic Press, Orlando, Fla.
 
183
STIDHAM, S., JR. 1969. Optimal control of a signalized intersection. Part I: Introduction: Structure of intersection models; Part II: Determining the optimal switching policies; Part III: Descriptive stochastic models. Tech. Reps. 94, 95, and 96, Dept. of Operations Research, Cornell Univ., Ithaca, New York.
 
184
STIDHAM, S. 1972. Regenerative processes in the theory of queues, with applications to the alternating-priority queue. Adv. Appl. Probab. 4/3 (Dec.), 542-577.
 
185
SUDA, T., MIYAHARA, H., AND HASEGAWA, T. 1980. Approximate analysis for a queueing system with probabilistic switching. Trans. Inst. Electron. Comrnun. Eng. Jpn J63-D, i (Jan.), 1-8 (in Japanese).
186
 
187
SWARTZ, G. B. 1982. Analysis of a SCAN policy in a gated loop system. In Applied Probability- Computer Science: The Interface, vol. 2, R. L. Disney and T. J. Ott, Eds. Birkh~iuser, Boston, pp. 241-252.
 
188
SYKES, J. S. 1969a. Analytical model of half-duplex interconnections of computers. IEEE Trans. Commun. Technol. COM-17, 2 (Apr.), 235-238.
 
189
SYKES, J. S. 1969b. Analysis of the communications aspects of an inquiry-response system. In AFIPS Conference Proceedings, 1969 Fall Joint Computer Conference, vol. 35 (Las Vegas, Nev., Nov. 18-20). AFIPS Press, Reston, Va., pp. 655-667.
 
190
SYKES, J. S. 1970. Simplified analysis of an alternating-priority queueing model with setup times. Oper. Res. 18, 6 (Nov.-Dec.), 1182-1192.
 
191
SZPANKOWSKI, W. AND REGO, V. 1987. Ultimate stability conditions for some multidimensional distributed systems. Tech. Rep. Dept. of Computer Science, Purdue Univ., West Lafayette, Ind.
 
192
TAKJ, CS, L. 1962. Introduction to the Theory of Queues. Oxford University Press, New York.
 
193
TAKJ, CS, L. 1968. Two queues attended by a single server. Oper. Res. 16, 3 (May-June), 639-650.
 
194
 
195
 
196
TAKAGI, H. 1985b. Mean message waiting times in symmetric multi-queue systems with cyclic service. Perform. Eva{ 5, 4 (Nov.), 271-277. Also in Proceedings of the IEEE International Conference on Communications 1985 (Chicago, June 23-26). IEEE, New York, pp. 1154-1157.
 
197
 
198
TAKAOI, H. 1987a. Analysis and applications of a multi-queue cyclic service system with feedback. IEEE Trans. Commun. COM-35, 2 (Feb.), 248-250.
 
199
 
200
TAKAOI, H. 1987c. Analysis of polling models with a mix of exhaustive and gated service disciplines. Tech. Rep. Tokyo Research Laboratory, iBM Japan, Tokyo.
 
201
TAKAOI, H. 1987d. Queueing analysis of polling systems with zero switchover times. TRL Res. Rep. TR87-0034. IBM Japan, Tokyo.
 
202
TAKAGI, H., AND MURATA, M. 1986. Queueing analysis of scan-type TDM and polling systems, in Computer Networking and Performance Evaluation, T. Hasegawa, H. Takagi, and Y. Takahashi, Eds. Elsevier North-Holland, Amsterdam, pp. 199-211.
 
203
TAKINE, T., TAKAHASHI, Y., AND HASEGAWA, T. 1986. Performance analysis of a polling system with single buffers and its application to interconnected networks. IEEE J. Selected Areas Commun. SAC-4, 6 (Sept.), 802-812.
 
204
TAKINE, T., TAKAHASHI, Y., AND HASEGAWA, T. 1987a. Analysis of a buffer relaxation polling system with single buffers. In Proceedings of the Seminar on Queueing Theory and Its Applications (Kyoto, Japan, May 11-13). Kyoto Univ., Kyoto, Japan. pp. 117-132.
 
205
TAKINE, T., TAKAHASHI, Y., AND HASEGAWA, T. 1987b. An analysis for interdeparture process of a polling system with single message buffer at each station. Trans. Inst. Electron. Inf. Commun. Eng. 70-B, 9 (Sept.), 989-998.
 
206
TAKINE, T., TAKAHASHI, Y., AND HASEGAWA, T. 1987c. Average message delay of an asymmetric single buffer polling system with round-robin scheduling of services. Tech. Rep. 87020. Dept. of Applied Mathematics and Physics, Kyoto Univ., Kyoto, Japan.
 
207
 
208
TOBAGI, F. A., AND FINE, M. 1983. Performance of unidirectional broadcast local area networks: Expressnet and Fasnet. IEEE J. Select. Areas Commun. SAC-I, 5 (Sept.), 913-926.
 
209
TOBAGI, F. A., AND KLEINROCK, L. 1976. Packet switching in radio channels: Part III--Polling and dynamic split-channel reservation multiple channel access. IEEE Trans. Commun. COM-24, 8 (Aug.), 832-845.
 
210
TOBAGI, F. A., BORGONOVO, F., AND FRATTA, L. 1983. Expressnet: A high-performance integratedservices local area network. }EEE J. Selec. Areas Commun. SAC-l, 5 (Sept.), 898-913. Also in Advances in Local Area Networks, K. K~immerle, F. A. Tobagi, and J. O. Limb, Eds. IEEE, New York, 1987, pp. 171-189.
 
211
TRAN-GIA, P. 1988. Discrete-time analysis of polling systems with renewal inputs. In Data Communication Systems and Their Performance, L. F. M. de Moraes, E. de Souza e Silva, and L. F. G. Soares, Eds. Elsevier North-Holland, Amsterdam, pp. 495-510.
 
212
TRAN-GIA, P., ANO RAITH, T. 1986. Multiqueue systems with finite capacity and nonexhaustive cyclic service. In Computer Networking and Performance Evaluation, T. Hasegawa, H. Takagi, and Y. Takahashi, Eds. Elsevier North-Holland, Amsterdam, pp. 213-225.
 
213
 
214
VINNITSKII, V. P., AND BRODETSKII, G. L. 1972. A cyclic queueing system. Cybernetics 8, 6 (Nov.-Dec.), 979-987.
 
215
WANG, D.-G. 1986. Analysis of cyclic service multi-queue systems for ring type local area networks. Master's thesis, Dept. of Electrical and Computer Engineering, North Carolina State Univ., Raleigh, N.C.
 
216
WANO, Y. T., AND MORRIS, R. J. T. 1985. Load sharing in distributed systems. IEEE Trans. Comput. C-34, 3 (Mar.), 204-217.
 
217
 
218
WOLFF, R. W. 1988. Stochastic Modeling and the Theory of Queues. Prentice-Hall, Englewood Cliffs, N.J.
 
219
WU, R. M., AND CHEN, Y.-B. 1975. Analysis of a loop transmission system with round-robin scheduling of services. IBM J. Res. Dev. 19, 5 (Sept.), 486-493.
 
220
YADIN, M. 1970. Queueing with alternating priorities, treated as random walk on the lattice in the plane. J. Appl. Probab. 7, 196-218.
 
221
YAMAMOTO, T., OKADA, H., AND NAKANISHI, Y. 1984. Analysis of token-passing ring networks with transmission priority. Trans. Inst. Electron. Commun. Eng. Jpn., J67-D, 9 (Sept.), 989-996 (in Japanese).
 
222
YUE, O.-C. 1987. Performance of the timed token scheme in MAP. In Proceedings of the IEEE/ IEICE Global Telecommunications Conference 1987. (Tokyo, Nov. 15-18). IEEE, New York, pp. 187-192.
 
223
YUEN, M. L. T., BLACK, B. A., NEWHALL, E. E., AND VENETSANOPOULOS, A. N. 1972. Traffic flow in a distributed lo. op switching system. In Proceedings o{ the Symposium on Computer-Communications Networks and Teletraffic (Apr. 4-6). Polytechnic Institute of Brooklyn, Brooklyn, N.Y., pp. 29-46.
 
224
ZHOANOV, V. S., AND SAKSONOV, E. A. 1979. Conditions of existence of steady-state modes in cyclic queueing systems. Aurora. Remote Control 40, 2, Part I (Feb.), 176-184.

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