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23-Ind-A1 Operations Research: December 2018

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

  1. Question 1 Tractor Inventory — EOQ and Dynamic-Demand Lot Sizing
  2. Question 2 Multi-Month Production Planning — LP Formulation Only
  3. Question 3 Graphical LP and its Dual
  4. Question 4 LP Sensitivity Analysis from a Given Final Simplex Tableau
  5. Question 5 Finite-Source Queueing — Machine Repair Model
  6. Question 6 Bayesian Decision Analysis — Credit-Extension Decision
  7. Question 7 Monte Carlo Simulation — Hourly Purchase Volume
  8. Question 8 Newsvendor Model — Weekly Sausage Batch Size
  9. Question 9 Machine-Job Assignment with Setup Times — IP Formulation Only
  10. Question 10 Integer LP — Branch and Bound

Start with Question 1 →

National Exams — December 2018 — 17-Ind-A1 Operations Research. Three-hour, open-book exam (any non-communicating calculator permitted); the paper totals 170 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 & sensitivity analysis/duality (ch. 3–4/6), integer programming & branch and bound (ch. 12), queueing theory (ch. 17), decision analysis (ch. 15), computer simulation (ch. 20). Nahmias, Production and Operations Analysis — single-period (newsvendor) and multi-period (dynamic lot-sizing / Wagner–Whitin) inventory models.