Interactive Model Explorer

The Grand Unified Model of DevOps/SRE Dynamics A Technical Account of Metrics, Organizational Volatility, and Entropy

Instantaneous realized-output rate
29.44
normalized units
Throughput
0.548
Coherence Ω
0.819
Debt drag
0.905
Urgency exp
0.925
Morale M
1.00
A Structured Descriptive Model

Instantaneous Term Breakdown

Pinst(t)=1Z[V(t)DF(t)M(t)Ω(t)(1R(t))LT(t)+MTTR(t)+ϵ](1CFR(t))U(t)2eλTDR(t) P_{\mathrm{inst}}(t)=\frac{1}{Z} \left[ \frac{V(t)\,DF(t)\,M(t)\,\Omega(t)\,(1-R(t))}{LT(t)+MTTR(t)+\epsilon} \right] (1-CFR(t))^{U(t)^2}e^{-\lambda TDR(t)}
Organizational Coherence
Ω(t)=exp ⁣(αCm(t)βE(t))\Omega(t)=\exp\!\left(-\alpha C_m(t)-\beta E(t)\right)
Long-Horizon Debt Dynamics
ddtTDR(t)=κ1U(t)+κ2DF(t)+κ3Cm(t)κ4R(t)\frac{d}{dt}TDR(t)=\kappa_1U(t)+\kappa_2DF(t)+\kappa_3C_m(t)-\kappa_4R(t)
Normalization: calibrated to healthy preset (P_inst ≈ 1.0, Z=0.01147).
= (1/0.01147) · [1.00·2.47·1.00·0.819·0.900 / (4.00+0.500+0.01)] · (0.950)^1.51 · e^(-1.00·0.100) · U(t)=1.23 DF(t)=2.47 = 29.44
P_inst vs. Urgency — holding current settings
Urgency-Induced Instability: moderate U may increase visible activity; beyond a system-dependent threshold it raises fragility faster than output.
P_inst as U sweeps 0.1 -> 5
Current U — drag chart to sweep

Long-Horizon Debt Dynamics — dTDR/dt

Integrated explicitly each step: TDR(t+Δt) = TDR(t) + (dTDR/dt)·Δt. The κ's are the paper's; the growth inputs are what the organization actually experiences — felt urgency U_eff and effective DF, weighted by the attenuation state A(t) = 1.000.
At current settings, technical debt is accumulating. Debt derivative: +0.301/period.
+k1·U_eff²·A: urgency-driven debt
+0.300
+k2·DF_eff·A: velocity-driven debt
+0.200
+k3·Cm·A: mismatch-driven debt
+0.0400
−k4·R: remediation
-0.0800
24 periods
t = 0.000
DF dynamics mode: Conservative (OG GUM). DF is treated as an observed policy input; latent terms do not rewrite DF.
Euler Integration Step (dt=0.25)
P_inst 29.44
P_real(t) 0.000
TDR(t) 0.1000
DF_policy 4.000
DF_eff(t) 4.000
At t = 0.000 (Δt=0.25): projected TDR = 0.1000, instantaneous output = 29.44, cumulative P_real(t) = 0.000.
View: Parameter sweep | Projection: debt-only | Freeze: ON | Preset: Custom | t=0.000 | Baseline: none
Current vs Baseline
No baseline pinned yet.
Sensitivity Ranking
1. M (+3.013)
2. DF (+1.472)
3. LT (-1.308)
4. TDR (-0.3013)
Multiplicative Waterfall
Nominal throughput 0.8869
x Morale 1.000
x Omega 0.8187
x Effective DF(t)/DF 0.6173
x Remediation capacity 0.9000
x CFR/U term 0.9254
x Debt drag 0.9048
= Realized output 29.44
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