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23-Ind-A1 Operations Research: December 2016

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

  1. Question 1 Newsvendor Model — Christmas Tree Order Quantity
  2. Question 2 Dynamic Programming — Sales-Staff Allocation
  3. Question 3 Decision Analysis — Pipeline Weld Inspection
  4. Question 4 LP Formulation — Corn Buy/Sell/Storage Plan
  5. Question 5 LP Sensitivity Analysis from a Given Final Simplex Tableau
  6. Question 6 Markov Chain — Long-Term Expected Generator Output
  7. Question 7 CPM — Floats, LP/Network-Flow Formulations, and Crashing
  8. Question 8 Integer Programming — Power-Plant Expansion Plan

Start with Question 1 →

National Exams — December 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 simplex method & sensitivity analysis (ch. 3–4/6), network optimization & PERT/CPM (ch. 9–10), integer programming (ch. 12), Markov chains (ch. 16), decision analysis (ch. 15). Nahmias, Production and Operations Analysis — the single-period (newsvendor) inventory model.