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In the context of industrial engineering, cold-standby redundancies allocation strategy is usually adopted to improve the reliability of coherent systems. This paper investigates optimal allocation strategies of cold standbys for series and…

Other Statistics · Statistics 2019-11-25 Xiaoyu Zhang , Yiying Zhang , Rui Fang

Optimum lifetime of a series (resp. parallel) system with general standby component(s) always depends on allocation strategy of standby component(s) into the system. Here, we discuss three different models of one or more standby compo-…

Applications · Statistics 2014-01-03 Nil Kamal Hazra , Asok K. Nanda

Researchers and practitioners in the field of reliability engineering and optimization frequently use active redundancy techniques to intensify the performance of systems. In this article, we study allocation strategies of non-matching…

Applications · Statistics 2026-05-18 Bidhan Modok , Shovan Chowdhury , Amarjit Kundu

Serial-parallel redundancy is a reliable way to ensure service and systems will be available in cloud computing. That method involves making copies of the same system or program, with only one remaining active. When an error occurs, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-08 Gutha Jaya Krishna

Stochastic comparisons of series and parallel systems are important in many areas of engineering, operations research and reliability analysis. These comparisons allow for the evaluation of the performance and reliability of systems under…

Statistics Theory · Mathematics 2025-06-09 CM Revathi , Rajesh Moharana , Raju Bhakta

This paper is concerned with the optimal number of redundant allocation to $n$-component coherent systems consist of heterogeneous dependent components. We assume that the system is built of $L$ groups of different components, $L\geq 1$,…

Optimization and Control · Mathematics 2022-02-22 Maryam Kelkinnama , Majid Asadi

As numerous machine learning and other algorithms increase in complexity and data requirements, distributed computing becomes necessary to satisfy the growing computational and storage demands, because it enables parallel execution of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-21 Pei Peng , Emina Soljanin , Philip Whiting

Precedence order is a natural type of comparison for random variables in numerous engineering applications (e.g., for the stress-strength modeling). In this note, we show that, for a $k$-out-of-$n$ system, redundancy at the component level…

Applications · Statistics 2017-10-26 Mithu Rani Kuiti , Nil Kamal Hazra , Maxim Finkelstein

A load sharing system has several components and the failure of one component can affect the lifetime of the surviving components. Since component failure does not equate to system failure for different system designs, the analysis of the…

Applications · Statistics 2023-07-20 Tim Pesch , Erhard Cramer , Edward Cripps , Adriano Polpo

In distributed computing systems with stragglers, various forms of redundancy can improve the average delay performance. We study the optimal replication of data in systems where the job execution time is a stochastically decreasing and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-01 Amir Behrouzi-Far , Emina Soljanin

The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple component choices whereas ensuring a given system reliability level. The obtained model is a nonlinear integer programming…

Optimization and Control · Mathematics 2012-03-16 F. Castro , J. Gago , I. Hartillo , J. Puerto , J. M. Ucha

In this paper, we analyze the relative errors that crop up in the various reliability measures due to the tacit assumption that the components are independently working associated with a $n$-component series system or a parallel system…

Statistics Theory · Mathematics 2025-03-28 Subarna Bhattacharjee , Aninda Kumar Nanda , Subhashree Patra

A new class of probabilistic models for cascading failure propagation in interconnected systems is proposed. The models take into account important characteristics of real systems that are not considered in existing generic approaches.…

Disordered Systems and Neural Networks · Physics 2010-03-31 Jörg Lehmann , Jakob Bernasconi

In this paper, we study stochastic comparisons of parallel systems having log-Lindley distributed components. These comparisons are carried out with respect to reversed hazard rate and likelihood ratio ordering.

Methodology · Statistics 2016-08-25 Shovan Chowdhury , Amarjit Kundu

The stochastic comparisons of parallel and series system are worthy of study. In this paper, we present some stochastic comparisons of parallel and series systems having independent components from Gumble distribution with two parameters…

Statistics Theory · Mathematics 2019-05-03 Surojit Biswas , Nitin Gupta

In this paper, we investigate various stochastic orderings for series and parallel systems with independent and heterogeneous components having lifetimes following the proportional odds model. We also investigate comparisons between system…

Statistics Theory · Mathematics 2020-07-28 Pradip Kundu , Nil Kamal Hazra , Asok K. Nanda

Distributed storage infrastructures require the use of data redundancy to achieve high data reliability. Unfortunately, the use of redundancy introduces storage and communication overheads, which can either reduce the overall storage…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Lluis Pamies-Juarez , Ernst Biersack

We consider a multipoint-to-point network in which sensors periodically send measurements to a gateway. The system uses Long Range (LoRa) communications in a frequency band with duty-cycle limits. Our aim is to enhance the reliability of…

Networking and Internet Architecture · Computer Science 2019-04-15 Siddhartha Borkotoky , Christian Bettstetter , Udo Schilcher , Christian Raffelsberger

Service systems often face task-server assignment-constraints due to skill-based routing or geographical conditions. Redundancy scheduling responds to this limited flexibility by replicating tasks to specific servers in agreement with these…

Probability · Mathematics 2022-08-17 Ellen Cardinaels , Sem Borst , Johan S. H. van Leeuwaarden

To facilitate load balancing, distributed systems store data redundantly. We evaluate the load balancing performance of storage schemes in which each object is stored at $d$ different nodes, and each node stores the same number of objects.…

Performance · Computer Science 2021-01-26 Mehmet Fatih Aktas , Amir Behrouzi-Far , Emina Soljanin , Philip Whiting
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