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Optimizing a Production Line
The simple production line considered in this chapter is shown in Fig. 20.1. This problem has been adapted from an example in [1]. This situation is...
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Queuing I: One-Step Calculations
In this chapter we show situations where simulation can produce the same results as fuzzy calculations which employ the extension principle. We argue...
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Simulation Programs
In this chapter we present some of the GPSS programs used in Chaps. 9–26. We had to omit many programs in order to keep this chapter. less that 20...
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Summary and Conclusions
The first objective of this book is to explain how many systems naturally become fuzzy systems. The second objective is to show how regular (crisp)...
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Optimal stabilization of linear stochastic systems
Having introduced and motivated our concepts of stochastic control systems in the previous chapter we now turn to optimal and suboptimal...
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Machine Shop I
The queuing system in this chapter is shown in Fig. 11.1. This application was adopted from a problem in ([1], p.594). We continue this problem in...
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From Genetic Variation to Probabilistic Modeling
Genetic algorithms ⦓GAs) [53, 83] are stochastic optimization methods inspired by natural evolution and genetics. Over the last few decades, GAs have...
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Inventory Control II
This chapter continues the inventory control problem studied in the previous chapter. The new system is shown in Fig. 17.1. We have added two things...
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Project Network Model
The project network diagram is in Fig. 26.1. This problem is modelled after an example in [2]. The project consists of various jobs that must be...
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Queuing II: No One-Step Calculations
In this chapter we will study the fuzzy system shown in Fig. 5.1 now reproduced as Fig. 9.1. This example was adapted from an example in [1]. The...
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Modular Neural Networks
We describe in this chapter the basic concepts, theory and algorithms of modular and ensemble neural networks. We will also give particular attention...
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Type-1 Fuzzy Logic
This chapter introduces the basic concepts, notation, and basic operations for the type-1 fuzzy sets that will be needed in the following chapters....
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Human Recognition using Face, Fingerprint and Voice
We describe in this chapter a new approach for human recognition using as information the face, fingerprint, and voice of a person. We have described...
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Linear map**s on ordered vector spaces
Before we can start to analyze the generalized Riccati operators derived in the previous chapter, we have to deal with generalized Lyapunov operators...
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Parameter Identifiability of Nonlinear Biological Systems
Parameters characterizing the internal behaviour of biological and physiological systems are usually not directly accessible to measurement. Their...
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Qualitative Analysis of Regulatory Graphs: A Computational Tool Based on a Discrete Formal Framework
Building upon the logical approach developed by the group of R. Thomas in Brussels, we are defining a rigorous mathematical framework to model...
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Differential Systems with Positive Variables
The variables of biological, ecological, or chemical systems are often positive, because they measure concentrations, numbers, ...We study polynomial...
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Completion Problems for Positive Matrices with Minimal Rank
Matrix completion problems studies the partial matrices, that is, a rectangular matrix some of whose entries are specified, and the remainder entries...
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Linear Positive Systems and Phase-type Representations
In this paper we try to put a bridge between the theory of phase-type distributions and the general theory of positive linear systems. The phase-type...
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Estimation and Strong Approximation of Hidden Markov Models
We give novel conditions for the existence of the limit of the normalized log-likelihood function for a finite-state continuous read-out Hidden...