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A Two-Fold Tandem Net with Deterministic Links and Source Interference

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  • Michael Kaplan

    (INRS-Télécommunications, Verdun, Quebec)

Abstract

The problem is to quantify the effect of flow interference on waiting-times in a two-fold tandem network of queues. Specifically, there are two deterministic servers ( I 0 , I 1 ) and two Poisson sources ( S 0 , S 1 ). So tasks are submitted first to I o and then to I 1 ; S 1 tasks proceed directly to I 1 . The two flows thus interfere at I 1 . Service is in order-of-arrival at both servers, and there are no defections at either server. In the case that I 1 is no faster than I 0 , we compute the following quantities: (1) the network utilization factor; (2) the stationary moment-generating function of virtual waiting-time in I 1 ; (3) the joint stationary moment-generating function for S 0 waiting-time at each of I 0 , I 1 . The problem in the complementary case is still unsolved; a relevant difference-differential equation is presented, and an approximation technique is described.

Suggested Citation

  • Michael Kaplan, 1980. "A Two-Fold Tandem Net with Deterministic Links and Source Interference," Operations Research, INFORMS, vol. 28(3-part-i), pages 512-526, June.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:3-part-i:p:512-526
    DOI: 10.1287/opre.28.3.512
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