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Multiple channel queues in heavy traffic. IV: Law of the iterated logarithm. (English) Zbl 0203.50402


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[1] Billingsley, P., Convergence of probability measures (1968), New York: John Wiley and Sons, New York · Zbl 0172.21201
[2] Borovkov, A., Some limit theorems in the theory of mass service, II, Theor. Probab. Appl., 10, 375-400 (1965)
[3] Iglehart, D.; Whitt, W., Multiple channel queues in heavy traffic, Advances Appl. Probab., 2, 150-177 (1970) · Zbl 0218.60098
[4] - - Multiple channel queues in heavy traffic, II: sequences, network and batches. Technical Report No. 6, Department of Operations Research, Stanford University. To appear in Advances Appl. Probab. (1969b).
[5] Skorohod, A., Studies in the theory of random processes (1965), Reading, Mass.: Addison-Wesley, Reading, Mass. · Zbl 0146.37701
[6] Strassen, V., An invariance principle for the law of the iterated logarith, Z. Wahrscheinlichkeitstheorie verw. Geb., 3, 211-226 (1964) · Zbl 0132.12903
[7] Whitt, W.: Multiple channel queues in heavy traffic, III: random server selection. To appear (1969). · Zbl 0206.22601
[8] - Weak convergence theorems for queues in heavy traffic. Ph. D. thesis. Cornell University. Technical Report No. 2, Department of Operations Research, Stanford University (1968).
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