Simulating Fuzzy Systems

By: James J. Buckley

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Hardcover | 1 March 2005

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228 Pages

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23.5 x 15.88 x 1.27

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Fuzzy Sets.- Fuzzy Estimation.- Fuzzy Probability Theory.- Fuzzy Systems Theory.- Simulation.- Queuing I: One-Step Calculations.- Simulation Optimization.- Queuing II: No One-Step Calculations.- Call Center Model.- Machine Shop I.- Machine Shop II.- Emergency Room Model.- Machine Servicing Problem.- Life Insurance: New Account Model.- Inventory Control I.- Inventory Control II.- Oil Tanker Problem.- Priority Queues.- Optimizing a Production Line.- Supermarket Model.- Bank Teller Problem.- A Bus Stop.- Process Failure/Spare Parts Problem.- Preemptive Service.- Project Network Model.- Summary and Conclusions.- Simulation Programs.

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You Can Find This Book In

Non-Fiction Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Mathematics Applied Mathematics Computing & I.T.Computer Science Artificial Intelligence Engineering & Technology Electronics & Communications Engineering

Electronics Engineering Systems Analysis & Design Computer Programming & Software Development Algorithms & Data Structures Technology in General Engineering in General

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
Table of Contents provided by Publisher. All Rights Reserved.

Simulating Fuzzy Systems

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