NivaarExam PrepOfficial exam papers ↗

23-Ind-A1 Operations Research: December 2013

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

  1. Question 1 LP Formulation — Post Office Full-Time / Part-Time Staff Scheduling
  2. Question 2 Simplex Method and Coupled Coefficient/RHS Sensitivity
  3. Question 3 Minimum-Cost Network Flow — Discount Airline Ticket Pairing
  4. Question 4 Fixed-Charge Model — Bookshelf Length Minimization
  5. Question 5 Integer Programming — AGV Round-Trip Routing
  6. Question 6 Decision Analysis — Machine-Screening Policy Under an Unstated Prior
  7. Question 7 Dynamic Programming — Single-Machine Job Sequencing
  8. Question 8 Expected Value of Sample Information — The Coin-Toss Bet
  9. Question 9 Non-Linear Inventory Model with Planned Backorders
  10. Question 10 Queueing Theory — Finite-Capacity Port (M/M/1/K)

Start with Question 1 →

National Exams — December 2013 — 98-Ind-A1 Operations Research. Three-hour, open-book exam (any non-communicating calculator permitted); the paper totals 200 marks across 10 questions and only 100 marks are required, so a candidate would normally answer a subset — all ten are solved below for completeness.

Reference texts: Hillier & Lieberman, Introduction to Operations Research (11th ed., McGraw-Hill) — linear/integer programming, network optimization, dynamic programming, decision analysis and queueing theory; Nahmias, Production and Operations Analysis — inventory models with planned backorders.