On the performance of software rejuvenation models with multiple degradation levels

Koutras, Vasilis P.; Platis, Agapios Ν.

doi:10.1007/s11219-019-09491-0

Cited by 5 publications

(4 citation statements)

References 25 publications

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“…This completes the proof of (14). Secondly, we derive (15). Taking the integral of the third partial differential equation of ( 9) with respect to x from 0 to T, and then adding it to the first and second differential equation of ( 9) to obtain the following:…”

Section: State Space Description Of the Controlled System (9)mentioning

confidence: 67%

“…Meng et al [14] investigated a periodically inspected rejuvenation policy for software systems, obtained the system availability function and cost rate function, and derived the optimal inspection time and the rejuvenation interval for maximizing system availability and minimizing cost rate. Koutras and Platis [15] developed multi-objective optimization problems to derive the rejuvenation policies for optimizing the system overall performance capability, taking into account availability and operating cost constraints. Zheng et al [16] proposed a stochastic framework composed of a composite stochastic Petri reward net and its resulting non-Markovian availability model to capture the dynamic behavior of an operational software system in which time-based software rejuvenation and checkpointing are both aperiodically conducted.…”

Section: Introductionmentioning

confidence: 99%

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Optimal Corrective Maintenance Policies via an Availability-Cost Hybrid Factor for Software Aging Systems

Huo

2024

Mathematics

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Availability is an important index for the evaluation of the performance of software aging systems. Although the corrective maintenance increases the system availability, the associated cost may be very high; therefore, the balancing of availability and cost during the corrective maintenance phase is a critical issue. This paper investigates optimal corrective maintenance policies via an availability-cost hybrid factor for software aging systems. The system is described by a group of coupled differential equations, where the multiplier effect of the repair rate on a system variable is bilinear term. Our aim is to drive an optimal repair rate that ensures a balance between the maximal system availability and the minimal repair cost. In a finite time interval [0,T], we rigorously discuss the state space of the system and prove the existence of the optimal repair rate, and then derive the first-order necessary optimality conditions by applying a variational inequality with the adjoint variables.

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Section: State Space Description Of the Controlled System (9)mentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Optimal Corrective Maintenance Policies via an Availability-Cost Hybrid Factor for Software Aging Systems

Huo

2024

Mathematics

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“…In another paper, Koutras and Platis propose to model software systems' overall performance capacity by assigning a performance capacity level at each of the possible states that it can be in, using a continuous-time Markov process. A performance capacity indicator for all possible rejuvenation models incorporating partial, full, or both rejuvenation actions is defined and evaluated in the transient, and the steady-state phase and the impact of various rejuvenation policies on it are further examined [35].…”

Section: Literature Reviewmentioning

confidence: 99%

A software availability model based on multilevel software rejuvenation and markov chain

Ghobadi¹,

Rashidi²

2021

Turk J Elec Eng & Comp Sci

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Increasing use of software, rapid and unavoidable changes in the operational environment bring many problems for software engineers. One of these problems is the aging and degradation of software performance. Software rejuvenation is a proactive and preventive approach to counteract software aging. Generally, when software is initiated, amounts of memory are allocated. Then, the body of software is executed for providing a service and when the software is terminated, the allocated memory is released. In this paper, a rejuvenation model based on multilevel software rejuvenation and Markov chain presented. In this model, the system performance as a result of degraded physical memory and memory usage is divided into four equal levels by services. Hence, we offer four types of policies for software rejuvenation. In addition, the system availability is determined, and a cost function for the model is introduced. The cost function includes the time of performing rejuvenation, the number of system services at any time, and the number of rejuvenation actions. To validate the proposed model, a case study in the banking system in Iran has been studied. Due to the differences in the use of the system over time, it is better to perform the four different policies with regard to the use of the system. The numerical results show that the proposed model is convenient for the system so that the costs are reduced per day.

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“…Dohi and Okamura [10] obtained the optimal dynamic software rejuvenation strategy for maximizing the steadystate availability of the operational software system with multiple degradation levels. Koutras and Platis [11] proposed a multi-objective optimization strategy to optimize a system's overall performance capability. Zheng et al [12] presented a composite stochastic Petri reward network and its resulting non-Markovian availability model for operational software systems.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Software Systems with Aperiodic Impulse Rejuvenation

Huo

Chen

2022

Mathematics

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This paper aims to obtain the dynamical solution and instantaneous availability of software systems with aperiodic impulse rejuvenation. Firstly, we formulate the generic system with a group of coupled impulsive differential equations and transform it into an abstract Cauchy problem. Then we adopt a difference scheme and establish the convergence of this scheme by applying the Trotter–Kato theorem to obtain the system’s dynamical solution. Moreover, the instantaneous availability as an important evaluation index for software systems is derived, and its range is also estimated. At last, numerical examples are shown to illustrate the validity of theoretical results.

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On the performance of software rejuvenation models with multiple degradation levels

Cited by 5 publications

References 25 publications

Optimal Corrective Maintenance Policies via an Availability-Cost Hybrid Factor for Software Aging Systems

Optimal Corrective Maintenance Policies via an Availability-Cost Hybrid Factor for Software Aging Systems

A software availability model based on multilevel software rejuvenation and markov chain

Dynamic Analysis of Software Systems with Aperiodic Impulse Rejuvenation

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