Uncertainty importance measures of dependent transition rates for transient and steady state probabilities

2017 ◽  
Vol 165 ◽  
pp. 402-409 ◽  
Author(s):  
Yan-Hui Lin ◽  
Richard C.M. Yam
Keyword(s):  
Steady State ◽  
Transition Rates ◽  
Steady State Probabilities ◽  
Transient And Steady State ◽  
Uncertainty Importance

scholarly journals Markov chains with quasitoeplitz transition matrix: applications

1990 ◽  
Vol 3 (2) ◽  
pp. 141-152
Author(s):  
A. M. Dukhovny
Keyword(s):  
Steady State ◽  
Markov Chains ◽  
Generating Functions ◽  
Transition Matrix ◽  
Queueing Systems ◽  
Warm Up ◽  
Hitting Probabilities ◽  
Steady State Probabilities ◽  
Transient And Steady State

Application problems are investigated for the Markov chains with quasitoeplitz transition matrix. Generating functions of transient and steady state probabilities, first zero hitting probabilities and mean times are found for various particular cases, corresponding to some known patterns of feedback ( “warm-up,” “switch at threshold” etc.), Level depending dams and queue-depending queueing systems of both M/G/1 and MI/G/1 types with arbitrary random sizes of arriving and departing groups are studied.

scholarly journals Markov chains with quasitoeplitz transition matrix

1989 ◽  
Vol 2 (1) ◽  
pp. 71-82 ◽  
Author(s):  
Alexander M. Dukhovny
Keyword(s):  
Steady State ◽  
Boundary Value Problem ◽  
Markov Chains ◽  
Generating Functions ◽  
Transition Matrix ◽  
Queueing Systems ◽  
Riemann Boundary Value Problem ◽  
Riemann Boundary ◽  
Steady State Probabilities ◽  
Transient And Steady State

This paper investigates a class of Markov chains which are frequently encountered in various applications (e.g. queueing systems, dams and inventories) with feedback. Generating functions of transient and steady state probabilities are found by solving a special Riemann boundary value problem on the unit circle. A criterion of ergodicity is established.

Modeling of assembly systems with complex structures for throughput analysis during transients

2019 ◽  
Vol 39 (2) ◽  
pp. 262-271
Author(s):  
Yukan Hou ◽  
Yuan Li ◽  
Yuntian Ge ◽  
Jie Zhang ◽  
Shoushan Jiang
Keyword(s):  
Steady State ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Assembly Systems ◽  
Complex Structures ◽  
Throughput Performance ◽  
Throughput Analysis ◽  
Content Type ◽  
Serial Production Lines ◽  
Transient And Steady State

Purpose The purpose of this paper is to present an analytical method for throughput analysis of assembly systems with complex structures during transients. Design/methodology/approach Among the existing studies on the performance evaluation of assembly systems, most focus on the system performance in steady state. Inspired by the transient analysis of serial production lines, the state transition matrix is derived considering the characteristics of merging structure in assembly systems. The system behavior during transients is described by an ergodic Markov chain, with the states being the occupancy of all buffers. The dynamic model for the throughput analysis is solved using the fixed-point theory. Findings This method can be used to predict and evaluate the throughput performance of assembly systems in both transient and steady state. By comparing the model calculation results with the simulation results, this method is proved to be accurate. Originality/value This proposed modeling method can depict the throughput performance of assembly systems in both transient and steady state, whereas most exiting methods can be used for only steady-state analysis. In addition, this method shows the potential for the analysis of complex structured assembly systems owing to the low computational complexity.

scholarly journals Some comments on transient and steady-state reconnection at the dayside magnetopause

2000 ◽  
Vol 27 (9) ◽  
pp. 1359-1362 ◽  
Author(s):  
Alan S. Rodger ◽  
Iain J. Coleman ◽  
Mike Pinnock
Keyword(s):  
Steady State ◽  
Dayside Magnetopause ◽  
Transient And Steady State
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