23-Ind-A6 Systems Simulation
Worked solutions to 5 past sittings (2013–2018), 49 questions. Pick a sitting, or start from a topic below.
Topics across the sittings
Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.
- Mean (3 sittings): December 2018 Q1 · December 2017 Q5 · Undated paper Q1
- Variance (3 sittings): December 2018 Q1 · December 2017 Q5 · Undated paper Q1
- Batch Means (2 sittings): December 2018 Q4 · December 2013 Q8
- Distribution Hypothesis (2 sittings): December 2018 Q1 · December 2017 Q5
- Inverse Transform (2 sittings): May 2018 Q1 · Undated paper Q4
- Process Flow Diagram (2 sittings): December 2017 Q8 · December 2013 Q2
- Run Length (2 sittings): December 2013 Q8 · Undated paper Q6
- Valid pdf (2 sittings): May 2018 Q1 · Undated paper Q1
- Validation (2 sittings): December 2017 Q1 · December 2013 Q10
- Verification (2 sittings): December 2017 Q1 · December 2013 Q10
- Warm-Up (2 sittings): December 2018 Q4 · December 2013 Q8
Questions by sitting
December 2018
- Question 1: Extra-Bag Survey — Mean, Variance, Distribution Hypothesis
- Question 2: Chi-Squared Goodness-of-Fit Test for the Hypothesized Poisson
- Question 3: Multi-Modal Histogram — Input-Modelling Implications
- Question 4: Simulation Run Control — Replications, Warm-Up, Batch Means
- Question 5: Model Validation, Autocorrelation, and Variance Comparison
- Question 6: One-Way ANOVA Across Three Routing Scenarios
- Question 7: 2² Factorial Screening Experiment for Bus Loading
- Question 8: Bonus — Robert Baden-Powell
May 2018
- Question 1: Valid PDF, Inverse Transform, MCG Variates
- Question 2: Chi-Squared Goodness-of-Fit and Generator Diagnosis
- Question 3: Acceptance–Rejection and LCG Period
- Question 4: Variate Generation Across Five Distribution Families
- Question 5: Transient Behaviour and Welch's Warm-Up Method
- Question 6: Replication Length, Run Strategy
- Question 7: Sample Size, Vendor Comparison, Validation Test
- Question 8: Comparing Five Scenarios by ANOVA
- Question 9: 2 3 Screening Experiment for Warehouse Throughput
December 2017
- Question 1: Short-Answer: RNG, Terminating Simulation, Verification vs. Validation, Acceptance-Rejection
- Question 2: Non-Stationary Poisson Arrivals: Variate Generation and a Stationarity Test
- Question 3: Number of Replications for a Target Precision
- Question 4: Comparing Two Alternatives: Paired vs. Independent $t$-Test
- Question 5: Absenteeism Data: Mean, Variance, Distribution Hypothesis
- Question 6: Non-Preemptive Priority Queue: Hand Simulation
- Question 7: Eight Steps of a Simulation Study: Ambulance Supply Management
- Question 8: Airport Check-In Simulation: Model Description & Process Flow Diagram
December 2013
- Question 1: Simulation Study Proposal Memo
- Question 2: Process Flow Diagram
- Question 3: Outlier Test on Firm A Data
- Question 4: Required Sample Size for Firm B
- Question 5: Firm Selection
- Question 6: Goodness-of-Fit Test
- Question 7: Discussion of Normality
- Question 8: Set 1 — Batch Means, Run Length, Warm-Up
- Question 9: Set 2 — Variance Reduction
- Question 10: Set 3 — Verification, Validation, Credibility
- Question 11: Set 1 — Custom LCG
- Question 12: Set 2 — Hand Simulation of the Welding Station
- Question 13: Set 3 — Acceptance-Rejection Variate Generation
- Question 14: Set 4 — ANOVA on the Screening Design
Undated paper
- Question 1: Continuous Distribution — Valid pdf, Mean and Variance
- Question 2: Linear Congruential Generator — Output, Period, Repeatability
- Question 3: Project-Estimate Accuracy — Distribution, Confidence Interval, Anomaly Test
- Question 4: pdf Validity, Inverse Transform, Multiplicative Congruential Variates
- Question 5: Distribution Concepts — Fill in the Blanks
- Question 6: Run Length — Warm-Up Determination for a Volatile Series
- Question 7: Simulation Validation — Comparing Variances and Means to the Actual System
- Question 8: Variance Reduction Techniques — Common Random Numbers and Antithetic Variates
- Question 9: Comparing Three Operating Scenarios by One-Way ANOVA
- Question 10: 2 3 Full Factorial Screening Experiment for Process Throughput