| Introduction | p. 1 |
| Introduction | p. 1 |
| Notation | p. 3 |
| Figures | p. 3 |
| References | p. 4 |
| Fuzzy Sets | p. 5 |
| Introduction | p. 5 |
| Fuzzy Sets | p. 5 |
| Fuzzy Numbers | p. 5 |
| Alpha-Cuts | p. 7 |
| Inequalities | p. 8 |
| Discrete Fuzzy Sets | p. 8 |
| Fuzzy Arithmetic | p. 8 |
| Extension Principle | p. 8 |
| Interval Arithmetic | p. 9 |
| Fuzzy Arithmetic | p. 10 |
| Fuzzy Functions | p. 11 |
| Extension Principle | p. 11 |
| Alpha-Cuts and Interval Arithmetic | p. 12 |
| Differences | p. 13 |
| Ordering/Ranking Fuzzy Numbers | p. 14 |
| Optimization | p. 15 |
| Discrete Versus Continuous | p. 15 |
| References | p. 17 |
| Fuzzy Estimation | p. 19 |
| Introduction | p. 19 |
| Fuzzy Probabilities | p. 19 |
| Fuzzy Numbers from Confidence Intervals | p. 20 |
| Fuzzy Arrival/Service Rates | p. 22 |
| Fuzzy Arrival Rate | p. 22 |
| Fuzzy Service Rate | p. 23 |
| Fuzzy Probability Distributions | p. 25 |
| Fuzzy Binomial | p. 25 |
| Fuzzy Estimator of ¿ in the Normal | p. 27 |
| Fuzzy Estimator of ¿2 in the Normal | p. 28 |
| Fuzzy Exponential | p. 32 |
| Fuzzy Uniform | p. 33 |
| Summary | p. 34 |
| References | p. 34 |
| Fuzzy Probability Theory | p. 37 |
| Introduction | p. 37 |
| Fuzzy Binomial | p. 37 |
| Fuzzy Poisson | p. 39 |
| Fuzzy Normal | p. 42 |
| Fuzzy Exponential | p. 44 |
| Fuzzy Uniform | p. 46 |
| References | p. 48 |
| Fuzzy Systems Theory | p. 49 |
| Introduction | p. 49 |
| Fuzzy System | p. 50 |
| Computing Fuzzy Measures of Performance | p. 51 |
| Reference | p. 52 |
| Simulation | p. 53 |
| References | p. 55 |
| Queuing I: One-Step Calculations | p. 57 |
| Introduction | p. 57 |
| One-Step Calculations | p. 57 |
| Fuzzy Calculations | p. 58 |
| Simulation | p. 61 |
| Multi-Step Calculations | p. 64 |
| Rest of the Book | p. 66 |
| References | p. 67 |
| Simulation Optimization | p. 69 |
| Introduction | p. 69 |
| Arrivals | p. 69 |
| Service | p. 70 |
| Exponential | p. 70 |
| Uniform | p. 71 |
| Normal | p. 72 |
| Probabilistic Transfer | p. 73 |
| Summary | p. 73 |
| Queuing II: No One-Step Calculations | p. 75 |
| Introduction | p. 75 |
| Case 1: First Simulation | p. 75 |
| Case 2: Second Simulation | p. 78 |
| Case 3: Third Simulation | p. 79 |
| Summary | p. 80 |
| Reference | p. 80 |
| Call Center Model | p. 81 |
| Introduction | p. 81 |
| Case 1: First Simulation | p. 82 |
| Case 2: Second Simulation | p. 83 |
| Case 3: Third Simulation | p. 84 |
| Summary | p. 85 |
| Reference | p. 85 |
| Machine Shop I | p. 87 |
| Introduction | p. 87 |
| Case 1: First Simulation | p. 89 |
| Cases 2 and 3: Second and Third Simulation | p. 91 |
| Summary | p. 92 |
| Reference | p. 93 |
| Machine Shop II | p. 95 |
| Introduction | p. 95 |
| Case 1: First Simulation | p. 97 |
| Case 2: Second Simulation | p. 98 |
| Case 3: Third Simulation | p. 100 |
| Summary | p. 101 |
| Reference | p. 101 |
| Emergency Room Model | p. 103 |
| Introduction | p. 103 |
| Case 1: First Simulation | p. 105 |
| Case 2: Second Simulation | p. 107 |
| Case 3: Third Simulation | p. 108 |
| Summary | p. 108 |
| Reference | p. 109 |
| Machine Servicing Problem | p. 111 |
| Introduction | p. 111 |
| Case 1: First Simulation (k = 1) | p. 112 |
| Case 2: Second Simulation (k = 2) | p. 114 |
| Case 3: Third Simulation (k = 3) | p. 115 |
| Case 4: Fourth Simulation (k = 4) | p. 115 |
| Case 5: Fifth Simulation (k = 5) | p. 115 |
| Summary | p. 115 |
| Reference | p. 116 |
| Life Insurance: New Account Model | p. 117 |
| Introduction | p. 117 |
| Case 1: First Simulation | p. 118 |
| Case 2: Second Simulation | p. 120 |
| Case 3: Third Simulation | p. 121 |
| Summary | p. 121 |
| Reference | p. 121 |
| Inventory Control I | p. 123 |
| Introduction | p. 123 |
| Case 1: First Simulation | p. 125 |
| Case 2: Second Simulation | p. 127 |
| Case 3: Third Simulation | p. 128 |
| Summary | p. 129 |
| References | p. 129 |
| Inventory Control II | p. 131 |
| Introduction | p. 131 |
| Case 1: First Simulation | p. 133 |
| Case 2: Second Simulation | p. 134 |
| Case 3: Third Simulation | p. 135 |
| Summary | p. 136 |
| Reference | p. 136 |
| Oil Tanker Problem | p. 137 |
| Introduction | p. 137 |
| Case 1: Super Tankers | p. 139 |
| Case 2: Big Tankers | p. 139 |
| Case 3: Regular Tankers | p. 140 |
| Summary | p. 141 |
| References | p. 142 |
| Priority Queues | p. 143 |
| Introduction | p. 143 |
| Case 1: First Simulation | p. 146 |
| Case 2: Second Simulation | p. 146 |
| Case 3: Third Simulation | p. 147 |
| Summary | p. 148 |
| Optimizing a Production Line | p. 149 |
| Introduction | p. 149 |
| Simulations | p. 151 |
| Summary | p. 152 |
| Reference | p. 154 |
| Supermarket Model | p. 155 |
| Introduction | p. 155 |
| Case 1: First Simulation | p. 158 |
| Case 2: Second Simulation | p. 159 |
| Case 3: Third Simulation | p. 160 |
| Summary | p. 160 |
| Reference | p. 160 |
| Bank Teller Problem | p. 161 |
| Introduction | p. 161 |
| First Simulation: Multiple Queues | p. 163 |
| Second Simulation: Single Queue | p. 163 |
| Summary | p. 163 |
| References | p. 164 |
| A Bus Stop | p. 165 |
| Introduction | p. 165 |
| Case 1: First Simulation | p. 166 |
| Case 2: More Buses | p. 167 |
| Case 3: Larger Buses | p. 168 |
| Summary | p. 168 |
| Reference | p. 168 |
| Process Failure/Spare Parts Problem | p. 169 |
| Introduction | p. 169 |
| Case 1: No Spare Parts | p. 171 |
| Case 2: One Spare Part | p. 171 |
| Case 3: Two Spare Parts | p. 171 |
| Case 4: Three Spare Parts | p. 172 |
| Summary | p. 172 |
| Reference | p. 173 |
| Preemptive Service | p. 175 |
| Introduction | p. 175 |
| Case 1: First Simulation | p. 177 |
| Case 2: Second Simulation | p. 177 |
| Case 3: Third Simulation | p. 179 |
| Summary | p. 179 |
| Reference | p. 179 |
| Project Network Model | p. 181 |
| Introduction | p. 181 |
| Simulations | p. 183 |
| Maximize Profit | p. 185 |
| Summary | p. 186 |
| References | p. 186 |
| Summary and Conclusions | p. 187 |
| References | p. 188 |
| Simulation Programs | p. 189 |
| Introduction | p. 189 |
| Chapter 9 | p. 189 |
| Chapter 10 | p. 191 |
| Chapter 11 | p. 192 |
| Chapter 12 | p. 192 |
| Chapter 13 | p. 195 |
| Chapter 17 | p. 196 |
| Chapter 18 | p. 200 |
| Chapter 22 | p. 201 |
| Chapter 25 | p. 202 |
| Chapter 26 | p. 203 |
| Index | p. 205 |
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