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Published in Philip A. Laplante, Comprehensive Dictionary of Electrical Engineering, 2018
channel sounding and the number of bytes involved in the data transfer. In the IBM mainframe architecture there are six different types of channel control words: READ, READ BACKWARD, WRITE, CONTROL, SENSE, and JUMP. channel control word word. See channel command A channel model is a collection of channel characteristics essential to the performance of the communication system under study, organized in such a way that the basic performance trade-offs of the system can be analyzed or simulated without having to construct prototypes or carry out field tests. channel optimized vector quantization (COVQ) a combined source-channel code for block-based source coding (vector quantization) and block channel coding. A channel optimized vector quantizer can be designed using a modified version (taking channel induced distortion into account) of the generalized Lloyd algorithm). Also referred to as channel matched VQ. See also noisy channel vector quantization. channel program the set of channel control words that make up the instruction sequence that controls an I/O channel. See also channel control word. channel reliability function the rate function with infinitesimal error probability expressed by E(R) =
Transcription factor binding at nucleosomal DNA
Published in Christian Mazza, Michel Benaïm, Stochastic Dynamics for Systems Biology, 2016
Christian Mazza, Michel Benaïm
where S(b,k)=1 if the k th base of the sequence s is b, and where S(b,k)=0 otherwise, and where the εkb are the site specific binding free energies. This additive model was presented in [17], and was then used in bioinformatics for predicting protein-DNA binding sites; see, e.g., [164], [26] and [15]. Suppose that there is a single binding site of associated sequence s. The rate function is proportional to the probability that the binding site is occupied by a TF: T1(β,υ)=〈|n|〉πβ=πβ(n1=1)=υexp(−βΔH)1+υexp(−βΔH),
Experiment Test Program Planning and Statistical Analysis Fundamentals
Published in R. E. Little, D. M. Kosikowski, Mechanical Reliability Improvement, 2002
R. E. Little, D. M. Kosikowski
Clearly, the instantaneous failure rate function IFRF is analogous to a probability density function PDF. The IFRF is also commonly called the hazard rate function HRF, which is sometimes re-expressed as HRF=f(d)Reliability(d)
Joint quality and maintenance decisions under servitization business model
Published in International Journal of Production Research, 2023
Kangzhou Wang, Hui Jing, Dong-dong Wang, Feng Jiang
The time of first failure is random and modelled by a distribution function . The failure density function is given by = and the failure rate function is given by [1-. The failure rate function means the probability that the equipment does not fail at time and fails in the next unit time after . Product failures are rectified through minimal repair and we assume that the repair time is so small relative to the interval time between two successive failures that it can be neglected. As a result, failure rate can be modelled by a point process with intensity function in which failure rate increases with (Jaturonnatee, Murthy, and Boondiskulchok 2006).
Optimising the fermentation throughput in biomanufacturing with bleed–feed
Published in International Journal of Production Research, 2023
Yesim Koca, Tugce Martagan, Ivo Adan
We now establish the probability density function from the rate function . Consider a random time to enter stationary phase T, with distribution function where b represents the initial biomass. The function is the transition rate to the stationary phase when the biomass amount is m. Then, we have Hence, and integrating this equation yields (by using that ) thus, The probability density function is . For the expectation, we get Thus once we obtain the rate function from the industry data (as explained in Appendix) we can establish the probability density function of entering the stationary phase .
Almost dissipativity and ultimate boundedness property for switched nonlinear systems
Published in International Journal of Control, 2022
The system (1) is said to be almost dissipative, if there exists a nonnegative continuous function, called a storage function, a supply rate function, and a constantsuch thatholds for alland all initial values. If the system (1) withis almost dissipative with the supply rate, then the system (1) is said to be almost passive.