Design & Analysis of Algorithms - Vol 3 | 9. Introduction to the Problem by Abraham | Learn Smarter
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9. Introduction to the Problem

The chapter discusses a linear programming problem related to bandwidth allocation in a communication network involving three users, A, B, and C. It explores how to allocate bandwidth while ensuring sufficient connectivity between users and maximizing revenue based on different rates for each connection type. The process includes identifying variables, constraints, and objective functions to model the optimal allocation of bandwidth within given limits on connections.

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Sections

  • 9

    Lp Modelling: Bandwidth Allocation

    This section discusses a linear programming problem involving bandwidth allocation in a small communication network with three users.

    Learning Practice

  • 9.1

    Introduction To The Problem

    This section explores the problem of bandwidth allocation in a communication network with three users, focusing on linear programming for revenue maximization.

    Learning Practice

  • 9.2

    Capacity Constraints And Revenue

    This section introduces the concept of using linear programming to solve bandwidth allocation issues in a network to maximize revenue while adhering to capacity constraints.

    Learning Practice

  • 9.3

    Setting Up Linear Programming Variables

    This section introduces the setup of linear programming variables in the context of network bandwidth allocation, focusing on how to represent different paths and constraints.

    Learning Practice

  • 9.4

    Capacity Of Links And Constraints

    This section discusses the allocation of bandwidth in a network of users and the constraints imposed by link capacities and user demands.

    Learning Practice

  • 9.5

    Objective Function And Revenue Calculation

    This section focuses on the linear programming model for bandwidth allocation in a communication network, emphasizing revenue maximization based on user connectivity requirements.

    Learning Practice

  • 9.6

    Challenges In Linear Programming Setup

    This section discusses the complexities involved in setting up linear programming for network bandwidth allocation problems.

    Learning Practice

References

ch52.pdf

Class Notes

Memorization

What we have learnt

  • Understanding the applicati...
  • Recognizing the constraints...
  • Learning how to formulate o...

Final Test

Revision Tests