A Functional Equation Related to a Multiple Cold Standby System
نویسنده
چکیده
We consider a basic multiple cold standby system attended by a single repairman. The system satisfies the usual conditions (i.i.d. random variables, perfect repair, instantaneous and perfect switch, queueing). We analyse the long-run availability of the system based on a functional equation valid in the complex plane. The solution is constructed by means of a Cauchy-type integral. As an example, we consider the case of deterministic repair.
منابع مشابه
Genetic Algorithm and Simulated Annealing for Redundancy Allocation Problem with Cold-standby Strategy
This paper presents a new mathematical model for a redundancyallocation problem (RAP) withcold-standby redundancy strategy and multiple component choices.The applications of the proposed model arecommon in electrical power, transformation,telecommunication systems,etc.Manystudies have concentrated onone type of time-to-failure, butin thispaper, two components of time-to-failures which follow hy...
متن کاملCold standby redundancy optimization for nonrepairable series-parallel systems: Erlang time to failure distribution
In modeling a cold standby redundancy allocation problem (RAP) with imperfect switching mechanism, deriving a closed form version of a system reliability is too difficult. A convenient lower bound on system reliability is proposed and this approximation is widely used as a part of objective function for a system reliability maximization problem in the literature. Considering this lower bound do...
متن کاملReliability Analysis of Redundant Repairable System with Degraded Failure
This investigation deals with the transient analysis of the machine repair system consisting of M-operating units operating under the care of single repairman. To improve the system reliability/availability, Y warm standby and S cold standby units are provided to replace the failed units. In case when all spares are being used, the failure of units occurs in degraded fashion. In such situation ...
متن کاملOptimal Placement and Sizing of DG in Distributed Network using NSGA-II based on Cold-Standby Strategy
Abstract: in this Paper, Optimal placement and sizing of DGs is considered as an engineering optimization problem. Due to integration and influence of DGs in distributed networks, optimal location and sizing of them are done based on objective functions such as: voltage profile improvement, power loss reduction, reliability improvement, restraining the increase of power plant, etc. These goals ...
متن کاملA New Nonlinear Multi-objective Redundancy Allocation Model with the Choice of Redundancy Strategy Solved by the Compromise Programming Approach
One of the primary concerns in any system design problem is to prepare a highly reliable system with minimum cost. One way to increase the reliability of systems is to use redundancy in different forms such as active or standby. In this paper, a new nonlinear multi- objective integer programming model with the choice of redundancy strategy and component type is developed where standby strategy ...
متن کامل