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23-Ind-A1 Operations Research: Undated paper

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

  1. Question 1 EOQ — Special-Storage Inventory Item
  2. Question 2 LP Formulation — Survey-Company Interview Bid
  3. Question 3 Graphical LP Solution
  4. Question 4 Simplex Sensitivity Analysis from a Given Final Tableau
  5. Question 5 Dynamic Programming — Sales-Staff Assignment
  6. Question 6 Finite-Source Queueing — Overhead Crane Servicing Ten Machines
  7. Question 7 Decision Analysis — Oil Pipeline Weld Inspection
  8. Question 8 Monte Carlo Simulation — Machine Repair Workload
  9. Question 9 Two-Month Markov Decision Process — Advertising Policy
  10. Question 10 CPM Project Network and Crashing LP Formulation

Start with Question 1 →

National Exams — May 2019 — 17-Ind-A1 Operations Research. Three-hour, open-book exam (any non-communicating calculator permitted); the paper totals 175 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 programming & the simplex method (ch. 3–4), duality & sensitivity analysis (ch. 6), dynamic programming (ch. 11), network optimization & CPM/PERT project crashing (ch. 9–10), queueing theory incl. finite-source (machine-repair) models (ch. 17), decision analysis & the value of information (ch. 15–16), Markov chains (ch. 16), Monte Carlo simulation (ch. 20). Nahmias, Production and Operations Analysis — deterministic EOQ inventory models with and without planned shortages.