arbiter
JournalsAccount

Multi‐Objective Redundancy Allocation Problem for Systems With Weighted k$$ k $$‐Out‐of‐n$$ n $$ Subsystems Formed by Different Types of Multistate Components

Darshana Yadav et al.

Applied Stochastic Models in Business and Industry2026https://doi.org/10.1002/asmb.70068article
ABDC B
Weight
0.50

Abstract

The redundancy allocation problem (RAP) is considered as one of the important problems in reliability theory. In this paper, we consider a series system with several subsystems wherein each subsystem is a weighted ‐out‐of‐ system formed by different types of multi‐state components. The degradation of the performance level (i.e., the probability of changing from a given state to the next state ) of a component of the system is modeled by the Markov process. Then, we study the multi‐objective RAP problem for this system, that is, we determine the optimum number of components of each type in each subsystem so that the maximum system reliability is achieved at minimum cost. Note that the given RAP problem is of NP‐hard type, and consequently, we use the controlled elitism non‐dominated ranked genetic algorithm (CE‐NRGA) to solve this problem. At the end, we illustrate the proposed methodology through a numerical example. Moreover, we discuss a case study to validate the proposed model.

Open via your library →

Cite this paper

https://doi.org/https://doi.org/10.1002/asmb.70068

Or copy a formatted citation

@article{darshana2026,
  title        = {{Multi‐Objective Redundancy Allocation Problem for Systems With Weighted k$$ k $$‐Out‐of‐n$$ n $$ Subsystems Formed by Different Types of Multistate Components}},
  author       = {Darshana Yadav et al.},
  journal      = {Applied Stochastic Models in Business and Industry},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1002/asmb.70068},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

Multi‐Objective Redundancy Allocation Problem for Systems With Weighted k$$ k $$‐Out‐of‐n$$ n $$ Subsystems Formed by Different Types of Multistate Components

Flags are reviewed by the Arbiter methodology team within 5 business days.

Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.