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Metropolitan Area Networks

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Performance Analysis of Computer Networks

Abstract

With some of the characteristics of LANs and some reflecting WANs, the metropolitan area network (MAN) technology embraces the best features of both. The motivations for MAN technology include the need for: (1) interconnection of LANs, (2) high-speed services, and (3) integrated services. The proliferation of LANs and the need for connecting them has brought MANs to the fore. The increasing customer demand for high-speed services has spawned the search for new technologies with wideband transport capabilities. For example, it is important that a travel agent gets prompt responses from the host computer when making airline reservations. The salary of the agent depends on high speed data communication.

Experience is the worst teacher; it gives the test before presenting the lesson.

Vernon Law

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Problems

Problems

  1. 7.1

    Give two reasons for building MANs using internetworking devices.

  2. 7.2

    (a) Describe a repeater as an interconnecting device? It is a hardware or software device?

    (b) How is a repeater different from a bridge?

  3. 7.3

    Explain the three basic functions of a bridge: forwarding, filtering, and learning.

  4. 7.4

    Two token rings operating at 16 Mbps are connected by a bridge. If each frame transmitted is 176 bits, calculate the number of frames/second the bridge can handle. Repeat the calculation if the transmission rate is 4 Mbps.

  5. 7.5

    Compare bridges and routers. When should they each be used?

  6. 7.6

    Describe three internetworking devices and specify the limitations of each.

  7. 7.7

    In a home, a coaxial cable interconnects audiovisual devices, while a twisted pair is used for controlling general purpose devices such as cooking machine, heater, and washing machine. What kind of interconnecting device can be used to connect the twisted pair and coaxial cable media to provide a low cost solution?

  8. 7.8

    Write a computer program to find the normalized delays in a system of interconnected token rings based on the data provided in Example 7.2.

    (a) Reproduce the result in Table 7.4 and plot normalized Darb versus ρ 1 for ring 2.

    (b) Reproduce the result in Table 7.6 and plot normalized Dlocal versus ρ 1 = 0.1, 0.2, …, 0.9.

  9. 7.9

    (a) Write a computer program to reproduce the result in Table 7.5 and plot normalized Dremote versus ρ 1 for ring 2.

    (b) For ring 4, calculate normalized Dremote versus ρ 1 = 0.1, 0.2, …, 0.9 and plot the data.

  10. 7.10

    For ring 3, calculate normalized Dremote versus ρ 1 = 0.1, 0.2, …, 0.9 and plot the data.

  11. 7.11

    Show that when no station receives service (Nk = 1), w1k in Eq. (7.16) becomes

    $$ {w}_{1k}=\frac{\Lambda_k{b}_{1k}^{(2)}}{2\left(1-{\rho}_{1k}\right)}+\frac{r_{1k}^{(2)}}{2{r}_{1k}} $$

    which is the exact solution for the symmetric polling system with exhaustive service.

  12. 7.12

    For a symmetric single-service polling system, ρ 1k  = 0 = r 1k . Obtain the corresponding expression for w2k.

  13. 7.13

    Reproduce the entries in Table 7.2 using Eqs. (7.2) and (7.3).

  14. 7.14

    Reproduce the entries in Table 7.3 using Eqs. (7.11)–(7.13) and (7.19).

  15. 7.15

    Consider an interconnected token ring network with three rings each having 10 stations and 1 bridge. Let λ 1 = λ 2 = λ 3 = λ. Assuming routing probabilities shown in Table 7.7, obtain ηk and Λk, k = 1, 2, 3 in terms of λ.

    Table 7.7 Routing probabilities qkl for Prob. 7.15

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Sadiku, M.N.O., Musa, S.M. (2013). Metropolitan Area Networks. In: Performance Analysis of Computer Networks. Springer, Cham. https://doi.org/10.1007/978-3-319-01646-7_7

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  • DOI: https://doi.org/10.1007/978-3-319-01646-7_7

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