Pith Number

pith:54MQEB2H

pith:2026:54MQEB2H2BRGAOPG5SWK25HYQA

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Active Redundancy Allocation Strategy at Component and System Level

Amarjit Kundu, Bidhan Modok, Shovan Chowdhury

Sufficient conditions establish optimal ways to allocate two heterogeneous active redundancies in coherent systems with dependent components.

arxiv:2605.15823 v1 · 2026-05-15 · stat.AP · cs.IT · math.IT

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Claims

C1strongest claim

Sufficient conditions are derived to establish optimal allocation strategies for two heterogeneous active redundancies at the component or system levels. The results guarantee the likelihood ratio (reversed hazard) ordering between the coherent systems at the component level (system level) active redundancies.

C2weakest assumption

The system is coherent, components are identical, and their dependence is modeled through copulas using the distortion function; this modeling choice is required for the ordering results to hold across the general family of parametric distributions.

C3one line summary

Derives sufficient conditions for optimal allocation of two heterogeneous active redundancies at component or system level in coherent systems with copula-modeled dependence, guaranteeing likelihood ratio ordering at component level and reversed hazard ordering at system level for general parametric

References

26 extracted · 26 resolved · 0 Pith anchors

[1] Ahmad, I.A., & Kayid, M. (2005). Characterizations of the RHR and MIT orderings and the DRHR and IMIT classes of life distributions.Probability in the engineering and infor- mation sciences,19, 447-46 2005

[2] Silver Spring, MD: Madison, 1981 1981

[3] Boland, P.J., & El-Neweihi, E. (1995). Component redundancy versus system redundancy in the hazard rate ordering.IEEE Transactions on Reliability,44(4), 614–619 1995

[4] Brito, G., Zequeira, R. I., & Vald´ es, J. E. (2011). On the hazard rate and reversed hazard rate orderings in two-component series systems with active redundancies. Statistics & probability letters, 2011

[5] Da, G., & Ding, W. (2016). Component level versus system level: k-out-of-n assembly systems.IEEE Transactions on Reliability,65(1), 425–433 2016

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Receipt and verification

First computed	2026-05-20T00:01:20.350418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef19020747d0626039e6ecacad74f880302c5b89ec1ae0ce4170b14b54634856

Aliases

arxiv: 2605.15823 · arxiv_version: 2605.15823v1 · doi: 10.48550/arxiv.2605.15823 · pith_short_12: 54MQEB2H2BRG · pith_short_16: 54MQEB2H2BRGAOPG · pith_short_8: 54MQEB2H

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/54MQEB2H2BRGAOPG5SWK25HYQA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ef19020747d0626039e6ecacad74f880302c5b89ec1ae0ce4170b14b54634856

Canonical record JSON

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      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2026-05-15T10:20:44Z",
    "title_canon_sha256": "2e3140f0758ddbc0b69006452139759adcb405041ad0104943820140e9992802"
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