Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems

2020 ◽  
Vol 234 (5) ◽  
pp. 696-707
Author(s):  
Min Gong ◽  
Hanlin Liu ◽  
Rui Peng
Keyword(s):  
Continuous Time ◽  
System Reliability ◽  
Continuous Time Markov Chain ◽  
System Availability ◽  
Long Run ◽  
Proposed Model ◽  
Cold Standby ◽  
Running Cost ◽  
Warm Standby ◽  
Reliability And Availability

In system design process, standby redundancy is a widely used technique to improve system reliability and availability. Typical standby techniques involve cold standby, hot standby, and warm standby. In this article, we investigate the repairable K-out-of- N system with mixed standby strategy containing both warm and cold standby. In the proposed system, each component can be in failure, cold, warm, and active states and the components are assumed to be repairable. The systems are modeled by continuous time Markov chain and the system long-run availability is derived. Furthermore, the optimal configuration of standby components in the system is studied considering both system availability and system running cost. Illustrative examples are presented to show the applications of the proposed model.

Joint optimization of components redundancy, spares inventory and repairmen allocation for a standby series system

2018 ◽  
Vol 233 (4) ◽  
pp. 623-638
Author(s):  
Xian Zhao ◽  
Jing Zhang ◽  
Xiaoyue Wang
Keyword(s):  
Optimal Solution ◽  
Optimal Number ◽  
Joint Optimization ◽  
Series System ◽  
Inventory Policy ◽  
System Availability ◽  
Cold Standby ◽  
Batch Ordering ◽  
The Mathematical Model ◽  
Warm Standby

In the past, redundancy, inventory and maintenance are often considered separately to improve the system availability. Recently, a few joint optimization papers have emerged, but they only considered hot-standby redundancy, one-for-one-ordering inventory policy and the case of single repairman. In order to deepen the previous research, this article formulates a joint optimization model of components redundancy, spares inventory and repairmen allocation for a standby series system with an objective of maximizing system availability. As to the components redundancy, hot-standby, warm-standby and cold-standby are considered, respectively. A more general batching ordering inventory policy is adopted and the number of repairmen is added as a new element. By continuous time Markov process, related reliability probability indices are derived. Then the mathematical model is constructed and branch-and-bound method is employed to solve the optimal solution. Finally, we conduct analysis and comparison for different numerical examples and obtain the following results: cold-standby and warm-standby redundancy yield higher availabilities compared to hot-standby under the same conditions. The optimal batch ordering inventory policy is better than optimal one-for-one-ordering inventory policy if the spares replenishment rate is not high enough. Moreover, an optimal number of repairmen, which is always more than one, can be achieved to enhance the efficiency of maintenance.

scholarly journals Testing Software Rejuvenation Policy for Time and Load Balancing Scheme in Complex System Using Deterministic-NDST Approach

2016 ◽  
Vol 1 (3) ◽  
pp. 185
Author(s):  
Nagaraj G Cholli ◽  
Khalid Amin Shiekh ◽  
G N Srinivasan
Keyword(s):  
Complex System ◽  
Load Balancing ◽  
System Reliability ◽  
Deterministic System ◽  
System Testing ◽  
Traditional Form ◽  
Software Rejuvenation ◽  
Long Run ◽  
Reliability And Availability

Software rejuvenation has become a new horizon for increasing the system reliability and availability in a long run. One of the concept in software rejuvenation policy involves rebooting the system by suspending the disk and capturing the images of processes currently running in the system. In our rejuvenation policy we make use an intelligent time and load algorithm for deciding the optimal rejuvenation period. Since at any given time there can be n number of processes running in the system with different physical memory utilizations and variable workloads running, it becomes very vital to thoroughly test the system with highly chaotic and disruptive workloads. For this we use some non-traditional form of testing which we call non deterministic system testing (NDST) to test different features and conditions of system

A Fluid EOQ Model with Markovian Environment

2015 ◽  
Vol 52 (02) ◽  
pp. 473-489
Author(s):  
Yonit Barron
Keyword(s):  
Continuous Time ◽  
Inventory Level ◽  
Continuous Time Markov Chain ◽  
Holding Costs ◽  
Eoq Model ◽  
Long Run ◽  
Average Criterion ◽  
Production Inventory ◽  
Finite State ◽  
Cost Functionals

We consider a production-inventory model operating in a stochastic environment that is modulated by a finite state continuous-time Markov chain. When the inventory level reaches zero, an order is placed from an external supplier. The costs (purchasing and holding costs) are modulated by the state at the order epoch time. Applying a matrix analytic approach, fluid flow techniques, and martingales, we develop methods to obtain explicit equations for these cost functionals in the discounted case and under the long-run average criterion. Finally, we extend the model to allow backlogging.

A Fluid EOQ Model with Markovian Environment

2015 ◽  
Vol 52 (02) ◽  
pp. 473-489 ◽  
Author(s):  
Yonit Barron
Keyword(s):  
Continuous Time ◽  
Inventory Level ◽  
Continuous Time Markov Chain ◽  
Holding Costs ◽  
Eoq Model ◽  
Long Run ◽  
Average Criterion ◽  
Production Inventory ◽  
Finite State ◽  
Cost Functionals

We consider a production-inventory model operating in a stochastic environment that is modulated by a finite state continuous-time Markov chain. When the inventory level reaches zero, an order is placed from an external supplier. The costs (purchasing and holding costs) are modulated by the state at the order epoch time. Applying a matrix analytic approach, fluid flow techniques, and martingales, we develop methods to obtain explicit equations for these cost functionals in the discounted case and under the long-run average criterion. Finally, we extend the model to allow backlogging.

scholarly journals A Fluid EOQ Model with Markovian Environment

2015 ◽  
Vol 52 (2) ◽  
pp. 473-489 ◽  
Author(s):  
Yonit Barron
Keyword(s):  
Continuous Time ◽  
Inventory Level ◽  
Continuous Time Markov Chain ◽  
Holding Costs ◽  
Eoq Model ◽  
Long Run ◽  
Average Criterion ◽  
Production Inventory ◽  
Finite State ◽  
Cost Functionals

We consider a production-inventory model operating in a stochastic environment that is modulated by a finite state continuous-time Markov chain. When the inventory level reaches zero, an order is placed from an external supplier. The costs (purchasing and holding costs) are modulated by the state at the order epoch time. Applying a matrix analytic approach, fluid flow techniques, and martingales, we develop methods to obtain explicit equations for these cost functionals in the discounted case and under the long-run average criterion. Finally, we extend the model to allow backlogging.

Double-Layer Network Negative Public Opinion Information Propagation Modeling Based on Continuous-Time Markov Chain

2020 ◽  
Author(s):  
Xiaoyang Liu ◽  
Ting Tang ◽  
Daobing He
Keyword(s):  
Markov Chain ◽  
Public Opinion ◽  
Double Layer ◽  
Continuous Time ◽  
Effective Control ◽  
Information Propagation ◽  
Continuous Time Markov Chain ◽  
Negative Opinion ◽  
Proposed Model ◽  
Propagation Network

Abstract In view of the fact that the existing public opinion propagation aspects are mostly based on single-layer propagation network, these works rarely consider the double-layer network structure and the negative opinion evolution. This paper proposes a new susceptible-infected-vaccinated-susceptible negative opinion information propagation model with preventive vaccination by constructing double-layer network topology. Firstly, the continuous-time Markov chain is used to simulate the negative public opinion information propagation process and the nonlinear dynamic equation of the model is derived; secondly, the steady state condition of the virus propagation in the model is proposed and mathematically proved; finally, Monte Carlo method is applied in the proposed model. The parameters of simulation model have an effect on negative public opinion information propagation, the derivation results are verified by computer simulation. The simulation results show that the proposed model has a larger threshold of public opinion information propagation and has more effective control of the scale of negative public opinion; it also can reduce the density of negative public opinion information propagation and suppress negative public opinion information compared with the traditional susceptible infected susceptible model. It also can provide the scientific method and research approach based on probability statistics for the study of negative public opinion information propagation in complex networks.

scholarly journals A STOCHASTIC MODEL FOR GERMINATION

2020 ◽  
Vol 27 (2) ◽  
pp. 375-385
Author(s):  
JOSÉ VILLA-MORALES
Keyword(s):  
Experimental Data ◽  
Markov Chain ◽  
Stochastic Model ◽  
Continuous Time ◽  
Continuous Time Markov Chain ◽  
Germination Time ◽  
Germination Process ◽  
Proposed Model

Assuming that the germination process of a seed passes through several stages (or states), including a state of non-germination, we model this phenomenon by means of a continuous-time Markov chain. The distribution of the germination time and the average of the first germination is obtained. In particular, when the duration of the process at each stage is on average the same we see that the proposed model adjusts rather well some experimental data.

scholarly journals Contribution to ECDIS Reliability using Markov Model

2014 ◽  
Vol 3 (2) ◽  
pp. 149-157 ◽  
Author(s):  
Dean Sumić ◽  
Dragan Peraković ◽  
Marinko Jurčević
Keyword(s):  
Information System ◽  
Markov Model ◽  
Simulation Model ◽  
System Reliability ◽  
Design Concept ◽  
Cold Standby ◽  
Electronic Chart ◽  
Standby System ◽  
Reliability And Availability ◽  
Bridge System

An Integrated Bridge System (IBS) contains a fully duplicated Electronic Chart Display and Information System (ECDIS). Although duplication should increase system reliability, reliability and availability are not improved. Proper ECDIS maintenance includes updating both: the information system and the provided chart system. This procedure, in practice, tends to decrease reliability and availability. A Markov ECDIS simulation model is given. A new design concept is presented and proposed. The entire ECDIS system is improved by adding a cold standby system preventing the occurrence of errors due to updating and upgrading of the system device.

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