Uncertain renewal process is an important uncertain *** paper discusses some sample properties of uncertain renewal ***, it gives some theorems on first hitting time of renewal process.
Uncertain renewal process is an important uncertain *** paper discusses some sample properties of uncertain renewal ***, it gives some theorems on first hitting time of renewal process.
In this paper,we present an uncertain Bang-Bang control by using the equation of optimality in uncertain optimal *** example is given to illustrate the result obtained.
In this paper,we present an uncertain Bang-Bang control by using the equation of optimality in uncertain optimal *** example is given to illustrate the result obtained.
In this paper,we discuss new problems for Meteorological Data transmission in broadband ***,we summarize the data transmission process from investigation to forecast,and analyze new requirements for the next generatio...
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In this paper,we discuss new problems for Meteorological Data transmission in broadband ***,we summarize the data transmission process from investigation to forecast,and analyze new requirements for the next generation weather *** existing broadband network transmission seems too slow for huge meteorological data,and corresponding,we design a new optical fiber transmission system,and provide two optimization algorithms named"Fix-Cut Algorithm"and"Pipe-Grab Algorithm".
A finite variation process is an uncertain process whose total variation is finite over every bounded time *** on finite variation processes, a new uncertain integral is proposed in this ***,some basic properties are ...
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A finite variation process is an uncertain process whose total variation is finite over every bounded time *** on finite variation processes, a new uncertain integral is proposed in this ***,some basic properties are discussed. In the framework of uncertain integral,the uncertain differential is introduced,and the fundamental theorem of uncertain calculus is ***,the integration by parts theorem is studied.
Based on the uncertain optimal control with jump,in this paper,we study a special optimal control problem:linear quadratic uncertain optimal control problem with jump which has a quadratic objective functional for a l...
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Based on the uncertain optimal control with jump,in this paper,we study a special optimal control problem:linear quadratic uncertain optimal control problem with jump which has a quadratic objective functional for a linear uncertain control system with *** obtain the necessary and sufficient conditions for the existence of optimal control.
In many cases,human uncertainty and objective randomness simultaneously appear in a *** order to describe this phenomena,this paper presents a new concept of uncertain random variable. In order to measure uncertain ra...
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In many cases,human uncertainty and objective randomness simultaneously appear in a *** order to describe this phenomena,this paper presents a new concept of uncertain random variable. In order to measure uncertain random events, this paper also combines probability measure and uncertain measure into a chance *** on the tool of chance measure,the concepts of chance distribution, expected value and variance of uncertain random variable are proposed.
The linguistic weighted average(LWA) is an extension of the fuzzy weighted average(FWA). The process of solving LWA can be divided into steps of solving two ***,the commonly used method of FWA is based onα-cut decomp...
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The linguistic weighted average(LWA) is an extension of the fuzzy weighted average(FWA). The process of solving LWA can be divided into steps of solving two ***,the commonly used method of FWA is based onα-cut decomposition, which discretizes the[0,1]interval into several a-cuts and then computes eachα-cut as an interval weighted ***,this method involves large amount of calculations,and the result for LWA is not *** this paper,we adopt a new algorithm, analytical solution methods,which is more accurate and *** the end of this paper,we present a numerical example to illustrate the algorithm.
A Bang-Bang optimal control model is considered for a multi-stage uncertain system which is disturbed by an uncertain variable at every stage. Based on Bellman's Principle of Optimality in dynamic programming,the ...
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A Bang-Bang optimal control model is considered for a multi-stage uncertain system which is disturbed by an uncertain variable at every stage. Based on Bellman's Principle of Optimality in dynamic programming,the Bang-Bang optimal controls for the model with a linear objective function subject to an uncertain linear system are obtained.
A standard problem in operations literature is the optimal stocking of substitutable products. We,however,consider a similar optimization problem with demand substitution where uncertainty occurs at the supply(product...
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A standard problem in operations literature is the optimal stocking of substitutable products. We,however,consider a similar optimization problem with demand substitution where uncertainty occurs at the supply(production)level. This is motivated by the very common production yield uncertainty in vaccine *** our paper, substitution is modeled by letting the unsatisfied demand for one type of vaccine flow to other vaccines in deterministic *** obtain,analytically, tractable solutions that facilitate comparisons between centralized and competitive optimal production quantities under substitution.A variant of revenue sharing contract is then proposed that coordinates vaccine manufacturers so that the system achieves global optimization in the Nash equilibrium. The model developed in this paper is of newsvendor type.
Classical statistical modeling and data analysis are typically assuming certain distributional family governing the behavior of data *** driven force is either a hypothesized probability distributional family or a sto...
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Classical statistical modeling and data analysis are typically assuming certain distributional family governing the behavior of data *** driven force is either a hypothesized probability distributional family or a stochastic *** example,Gaussian process regression models have Gaussian process as their driven *** the new uncertainty statistical modeling and data analysis on the uncertain measure foundation should be developed similarly and *** this paper, based on the reviewing the basic elements to build up a Gaussian process regression model,we propose a framework of the uncertain canonical process driven models and data analysis.
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