W11_L2: Linear programming-production planning

Welcome to Week 11 Lecture 2 of the course "Programming, Data Structures and Algorithms using Python" by Prof. Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSCS2002.html Video Overview This lecture explores a real-world application of Linear Programming in the context of bandwidth allocation for an Internet Service Provider (ISP). We examine how to maximize revenue while meeting minimum bandwidth guarantees and respecting capacity constraints across multiple customer offices. Through this example, we understand how LP models help in optimizing resource allocation but also encounter their limitations when dealing with flow-based problems. This motivates the need for specialized network flow algorithms, which will be explored in the upcoming lectures. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a foundation certificate from IITM CODE (Centre for Outreach and Digital Education), diploma(s) from IIT Madras, or BSc/BS degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #LinearProgramming #Optimization #BandwidthAllocation #NetworkFlow #Algorithms #ISP #RevenueMaximization #Constraints #TelecomNetwork #GraphTheory #PDSA #IITMadras #OperationsResearch #ResourceAllocation #ComputerScience #AlgorithmDesign