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

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

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  1. 9
    Lp Modelling: Bandwidth Allocation

    This section discusses a linear programming problem involving bandwidth...

  2. 9.1
    Introduction To The Problem

    This section explores the problem of bandwidth allocation in a communication...

  3. 9.2
    Capacity Constraints And Revenue

    This section introduces the concept of using linear programming to solve...

  4. 9.3
    Setting Up Linear Programming Variables

    This section introduces the setup of linear programming variables in the...

  5. 9.4
    Capacity Of Links And Constraints

    This section discusses the allocation of bandwidth in a network of users and...

  6. 9.5
    Objective Function And Revenue Calculation

    This section focuses on the linear programming model for bandwidth...

  7. 9.6
    Challenges In Linear Programming Setup

    This section discusses the complexities involved in setting up linear...

What we have learnt

  • Understanding the application of linear programming in network bandwidth allocation.
  • Recognizing the constraints imposed by link capacities in a network.
  • Learning how to formulate objectives in terms of maximizing revenue based on service delivery.

Key Concepts

-- Linear Programming
A mathematical technique for maximizing or minimizing a linear function subject to linear constraints.
-- Bandwidth Allocation
The process of distributing available bandwidth among users in a network to ensure satisfactory connectivity.
-- Constraints
Conditions that limit the possible solutions in a linear programming problem, such as capacities of links in a network.

Additional Learning Materials

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