PhD in Linear Programming at Carnegie Mellon University

    PhD in Linear Programming at Carnegie Mellon University

    PhD in Linear Programming at Carnegie Mellon University

    International students can study the Linear Programming at Carnegie Mellon University at its main campus in Pittsburgh , United States of America. This PhD degree is available as a Full Time program delivered on campus in English. The program has a duration of 4 years and is offered at the university's main campus. Students can apply for the next intake starting on August 22, 2027.

    About PhD in Linear Programming

    Linear programming lies at the basis of modern optimization theory. This course focuses primarily on linear programming theory and algorithms, leaving beyond the scope of its practical applications. The main topics to be covered include modeling examples and expressive power of linear programs, polyhedral sets and their geometry, theory of systems of linear inequalities and duality, classical linear optimization algorithms (simplex and network simplex), and decomposition approaches for large-scale optimization. If time permits polynomial time solvability of linear programs, extensions to conic optimization problems, conic duality, and an introduction to interior point methods are topics of interest in the given order.

    Requirements and Admission Criteria for PhD in Linear Programming at Carnegie Mellon University

    Entry Requirements

    GPA

    3.41

    Average

    3.43

    Median

    3.03-3.76

    Middle 80%

    English Requirements

    • IELTSMin 7.5
    • TOEFLMin 102

    English Program Requirements

    Candidates are required to demonstrate a level of competence in English to meet the admissions requirements of the university. You are required to take a TOEFL, IELTS, or Duolingo exam unless:

    • You attended an undergraduate institution, earning a bachelor’s degree, where the sole language of instruction was English.
    • You earned a graduate degree where the sole language of instruction was English. (Although not required, we do recommend that you take the English Language Proficiency exam.)

    You must request that the official score be sent from the testing agency to our program for us to verify the score entered into the application. Request that the official score be sent to us using the following codes:

    • TOEFL Program Code: Institutional Code = 2074; Departmental Code = 02
      • Pro Tip: The recommended TOEFL score is 25 on each section of the Internet-based test. The minimum TOEFL scores required to apply for admission are: Reading: 20, Listening: 20, Speaking: 20, Writing: 20
    • IELTS Program Code: Select Carnegie Mellon and the Tepper School of Business 
      • Pro Tip: The recommended IELTS score is 7 overall and 7 in each band. The minimum IELTS scores required to apply for admission are: Listening: 7, Reading: 7, Writing: 7, Speaking: 7, Overall Band: 7
    • Duolingo Program Code: Select Carnegie Mellon University – Tepper School of Business
      • Pro Tip: The recommended Duolingo English Test (DET) score is 120 overall

    Pro Tip: TOEFL and IELTS scores are valid for two years and must be valid at the time you submit your application.

    Pro Tip: If you earned a degree from a non-U.S. institution, your academic documents should state that the sole language of instruction for the entire university was English in order to be eligible for a TOEFL/IELTS/Duolingo waiver. If your academic documents don’t include this, you should upload an official letter from the University Registrar indicating English as the mode of instruction for the entirety of the degree.

    Tuition and Fee Information for PhD in Linear Programming at Carnegie Mellon University

    Application Fee 75
    PhD in Linear Programming at Carnegie Mellon University
    Carnegie Mellon University
    Carnegie Mellon University
    United States of America

    United States of America, Pittsburgh

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