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23-Ind-A1 Operations Research: December 2019

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

  1. Question 1 Newsvendor Model — Christmas Tree Order Quantity
  2. Question 2 Finite-Capacity Queueing — Should the Jewellery Store Add a Second Parking Spot?
  3. Question 3 Equipment Replacement — Six-Year Car Ownership Policy
  4. Question 4 Decision Analysis with Sample Information — The Don Harnett Story
  5. Question 5 LP Formulation — Assembly of Two Products with a Make-or-Buy Raw Material
  6. Question 6 LP Sensitivity Analysis from a Given Final Simplex Tableau
  7. Question 7 Steady-State Markov Chain — Textbook Buy-Back Cycle
  8. Question 8 CPM — Floats, LP/Network-Flow Formulations, and Crashing
  9. Question 9 Integer Programming Formulation — Cassette Side Arrangement

Start with Question 1 →

National Exams — December 2019 — 17-Ind-A1 Operations Research. Three-hour, open-book exam (any non-communicating calculator permitted); the paper totals 135 marks across 9 questions (all worth 15 marks) and only 100 marks are required, so a candidate would normally answer a subset — all nine 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), integer programming (ch. 12), network optimization & CPM/PERT (ch. 9–10), queueing theory (ch. 17), decision analysis (ch. 15–16), Markov chains (ch. 16), equipment replacement (ch. 11/19). Nahmias, Production and Operations Analysis — single-period (newsvendor) inventory models.