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23-Ind-A1 Operations Research: December 2014

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

  1. Question 1 Economic Order Quantity — With and Without Planned Shortages
  2. Question 2 Finite-Source Queueing — Crane Servicing Ten Machines
  3. Question 3 CPM Network and Crashing — Nine-Task Project
  4. Question 4 LP Formulation — Multi-Period Production Planning with Storage
  5. Question 5 Integer LP by Branch and Bound
  6. Question 6 Integer Programming Formulation — Power-Plant Site Selection and Timing
  7. Question 7 Simplex Sensitivity Analysis From a Final Tableau
  8. Question 8 Tractor Inventory — Single-Period EOQ and Dynamic-Programming Lot Sizing
  9. Question 9 Markov Chain Brand Switching — Steady State and Price-Reduction Optimization
  10. Question 10 Monte Carlo Simulation — Machine Breakdown Repair Work

Start with Question 1 →

National Exams — December 2014 — 98-Ind-A1 Operations Research. Three-hour, open-book exam (any non-communicating calculator permitted); the paper totals 150 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 (CPM), dynamic programming, decision analysis, Markov chains and queueing theory; Nahmias, Production and Operations Analysis (7th ed.) — EOQ and inventory-control models.