Managing river flow in arid regions with matrix analytic methods

2010 ◽  
Vol 382 (1-4) ◽  
pp. 128-137 ◽  
Author(s):  
A.J. Fisher ◽  
D.A. Green ◽  
A.V. Metcalfe
1992 ◽  
pp. 34-43
Author(s):  
Mazlan Abbas ◽  
Zainal Abidin Ahmad

This paper will describe an analytical approach to the solutions of queueing models with finites capacity. The methods is chosen because its abilitiy to model exactly complex non-Markovian model which have correlated, non-renewal input process which is nearly impossible to get exact expressions by using classical methods of generating functions. We applied this methodology to compute the loss performance a of a queueing item specifically in the scenario of Asynchronous Transfer Mode (ATM) networks.


Water ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 499 ◽  
Author(s):  
Leilei Min ◽  
Peter Yu. Vasilevskiy ◽  
Ping Wang ◽  
Sergey P. Pozdniakov ◽  
Jingjie Yu

Despite the significance of river leakage to riparian ecosystems in arid/semi-arid regions, a true understanding and the accurate quantification of the leakage processes of ephemeral rivers in these regions remain elusive. In this study, the patterns of river infiltration and the associated controlling factors in an approximately 150-km section of the Donghe River (lower Heihe River, China) were revealed using a combination of field investigations and modelling techniques. The results showed that from 21 April 2010 to 7 September 2012, river water leakage accounted for 33% of the total river runoff in the simulated segments. A sensitivity analysis showed that the simulated infiltration rates were most sensitive to the aquifer hydraulic conductivity and the maximum evapotranspiration (ET) rate. However, the river leakage rate, i.e., the ratio of the leakage volume to the total runoff volume, of a single runoff event relies heavily on the total runoff volume and river flow rate. In addition to the hydraulic parameters of riverbeds, the characteristics of ET parameters are equally important for quantifying the flux exchange between arid ephemeral streams and underlying aquifers. Coupled surface/groundwater models, which aim to estimate river leakage, should consider riparian zones because these areas play a dominant role in the formation of leakage from the river for recharging via ET. The results of this paper can be used as a reference for water resource planning and management in regulated river basins to help maintain riparian ecosystems in arid regions.


2008 ◽  
Vol 40 (04) ◽  
pp. 1157-1173
Author(s):  
Winfried K. Grassmann ◽  
Javad Tavakoli

This paper deals with censoring of infinite-state banded Markov chains. Censoring involves reducing the time spent in states outside a certain set of states to 0 without affecting the number of visits within this set. We show that, if all states are transient, there is, besides the standard censored Markov chain, a nonstandard censored Markov chain which is stochastic. Both the stochastic and the substochastic solutions are found by censoring a sequence of finite transition matrices. If all matrices in the sequence are stochastic, the stochastic solution arises in the limit, whereas the substochastic solution arises if the matrices in the sequence are substochastic. We also show that, if the Markov chain is recurrent, the only solution is the stochastic solution. Censoring is particularly fruitful when applied to quasi-birth-and-death (QBD) processes. It turns out that key matrices in such processes are not unique, a fact that has been observed by several authors. We note that the stochastic solution is important for the analysis of finite queues.


2006 ◽  
Vol 63 (4-5) ◽  
pp. 295-314 ◽  
Author(s):  
Ana da Silva Soares ◽  
Guy Latouche

Sign in / Sign up

Export Citation Format

Share Document