Reliability evaluation of network flows with stochastic capacity and cost constraint

Fathabadi, H. Salehi; Khodaei, Marzieh

doi:10.1504/ijmor.2012.048904

Cited by 11 publications

(7 citation statements)

References 19 publications

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“…Whenever a unit fails with failure rate 1 β , it is immediately sent to a service station for repair with service rate 1 α . However, on the course of repairing failed unit, the service is bound to fail with failure rate of 2 β and service rate of 2 α and failed unit must wait whenever the service station is under repair for first and third system, while the standby service will continue repairing failed unit for the second system. The supporting device is a system that is prone to failure.…”

Section: Description Of the Systemsmentioning

confidence: 99%

Reliability Modelling and Analysis of Redundant Systems Connected to Supporting External Device for Operation Attended by a Repairman and Repairable Service Station

Yusuf¹,

Sa’id²,

Babagana³

2014

JAMP

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Section: Description Of the Systemsmentioning

confidence: 99%

Reliability Modelling and Analysis of Redundant Systems Connected to Supporting External Device for Operation Attended by a Repairman and Repairable Service Station

Yusuf¹,

Sa’id²,

Babagana³

2014

JAMP

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“…In another paper, Yeh [12] designed a survivable network under cost constraints and computed its reliability. For this case, Salehi Fathabadi and Khodaei [13] presented a different method to find the optimal system parameters and computed its reliability. Lin and Yeh [14] proposed a genetic algorithm to find maximal reliability of networks.…”

Section: Introductionmentioning

confidence: 99%

Capacity Expansion and Reliability Evaluation on the Networks Flows with Continuous Stochastic Functional Capacity

Hamzezadeh

Fathabadi

2014

Journal of Applied Mathematics

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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 sourcesto sinkt, 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-calledfunctional 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.

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“…Measures of system effectiveness such MTSF, steady-state availability, busy period and profit function are obtained. Reference [9] studied availability and profit of a repairable 3-out-of-4 system with preventive maintenance, while [10] evaluate the reliability of network flows with stochastic capacity and cost constraint. In this paper, a two-stage deteriorating linear 3-out-of-4 system is constructed and derived its corresponding mathematical models.…”

Section: Introductionmentioning

confidence: 99%

Some Reliability Measures of a Deteriorating System

Yusuf

Hussaini²,

Yakasai³

2013

International Journal of Applied Mathematical Research

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In this paper, we studied some reliability characteristics of a repairable 3-out-of-4 system with three modes: normal, deterioration and failure modes. The deterioration mode could be slow or fast. Failure and repair time are assumed to be exponential. We develop the explicit expressions for steady-state availability, busy period of repair man, profit function and mean time to system failure for the system using linear first order differential equations. Various cases are analyzed graphically to investigate the impact of system parameters on MTSF and profit function.

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Reliability evaluation of network flows with stochastic capacity and cost constraint

Cited by 11 publications

References 19 publications

Reliability Modelling and Analysis of Redundant Systems Connected to Supporting External Device for Operation Attended by a Repairman and Repairable Service Station

Reliability Modelling and Analysis of Redundant Systems Connected to Supporting External Device for Operation Attended by a Repairman and Repairable Service Station

Capacity Expansion and Reliability Evaluation on the Networks Flows with Continuous Stochastic Functional Capacity

Some Reliability Measures of a Deteriorating System

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