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Capacity Expansion and Reliability Evaluation on the Networks Flows with Continuous Stochastic Functional Capacity
Joint Authors
Hamzezadeh, F.
Salehi Fathabadi, H.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In many systems such as computer network, fuel distribution, and transportation system, it is necessary to change the capacity of some arcs in order to increase maximum flow value from source s to sink t, while the capacity change incurs minimum cost.
In real-time networks, some factors cause loss of arc’s flow.
For example, in some flow distribution systems, evaporation, erosion or sediment in pipes waste the flow.
Here we define a real capacity, or the so-called functional capacity, which is the operational capacity of an arc.
In other words, the functional capacity of an arc equals the possible maximum flow that may pass through the arc.
Increasing the functional arcs capacities incurs some cost.
There is a certain resource available to cover the costs.
First, we construct a mathematical model to minimize the total cost of expanding the functional capacities to the required levels.
Then, we consider the loss of flow on each arc as a stochastic variable and compute the system reliability.
American Psychological Association (APA)
Hamzezadeh, F.& Salehi Fathabadi, H.. 2014. Capacity Expansion and Reliability Evaluation on the Networks Flows with Continuous Stochastic Functional Capacity. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-505473
Modern Language Association (MLA)
Hamzezadeh, F.& Salehi Fathabadi, H.. Capacity Expansion and Reliability Evaluation on the Networks Flows with Continuous Stochastic Functional Capacity. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-505473
American Medical Association (AMA)
Hamzezadeh, F.& Salehi Fathabadi, H.. Capacity Expansion and Reliability Evaluation on the Networks Flows with Continuous Stochastic Functional Capacity. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-505473
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505473