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23-Ind-A1 Operations Research: May 2016

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 LP Model for Maximizing NPV of Two Investments
  2. Question 2 Two Iterations of the Revised Simplex Method
  3. Question 3 Labelled Network Flow Model for Hydro-Electric Generation
  4. Question 4 Integer Programming Model for the Cutting-Stock Problem
  5. Question 5 Decision Tree for a Medical/Travel Decision
  6. Question 6 Tolerable Arrival Rate for an M/M/1 Landing Queue
  7. Question 7 Dynamic Programming — Patrol Car Allocation
  8. Question 8 Dynamic Programming Recursion for an Expected Asset Position

Start with Question 1 →

National Exams — May 2016 — 98-Ind-A1 Operations Research. Three-hour, open-book exam (any non-communicating calculator permitted); the paper totals 160 marks across 8 questions (each worth 20) and only 100 marks are required, so a candidate would normally answer 5 — all eight are solved below for completeness.

Reference texts: Hillier & Lieberman, Introduction to Operations Research (11th ed., McGraw-Hill) — linear programming and the revised simplex method (ch. 3–5), network optimization models (ch. 9), integer programming (ch. 12), decision analysis (ch. 16), and queueing theory (ch. 17).