MCDMDecision-makingDEAMath steps

Network Slacks-Based Measure DEA with Window Analysis

OriginatorTone, K. Tsutsui, M.Year2009Sources1

DEA-NETWORK-SBM (Network Slacks-Based Measure DEA with Window Analysis) is a dea multi-criteria decision-making (MCDM) method introduced by Tone, K. Tsutsui, M. in 2009. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

Key highlights

  • Follows a transparent, reproducible computational procedure that can be audited step by step.
  • Handles multiple criteria of differing scales and units within a single decision matrix.

Intuition

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How it works

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When to use it

DEA-NETWORK-SBM combines Tone & Tsutsui's (2009) Network SBM model with window analysis (Klopp 1985) for longitudinal multi-stage efficiency. The SBM objective directly measures input/output slacks (unlike radial measures), making it unit-invariant and non-radial. Linking constraints (free link activities) allow intermediate products to be endogenously determined. Stage weights ω_k reflect relative importance (best determined via ANP). η^p_o = 1: overall efficient in window p. τ^p_ko = 1: stage-k efficient. Unlike radial DEA, SBM scores are not biased by choosing proportional projections.

Strengths & limitations

Strengths
  • Follows a transparent, reproducible computational procedure that can be audited step by step.
  • Handles multiple criteria of differing scales and units within a single decision matrix.
Limitations
  • Results depend on the chosen normalisation, weights, and parameter settings.

Common pitfalls

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Sources

  1. 1.
    Tone, K., Tsutsui, M. (2009). Network DEA: A slacks-based measure approach. European Journal of Operational Research

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ScholarGate. (2026, June 2). DEA-NETWORK-SBM. ScholarGate. https://scholargate.app/decision-making/dea-network-sbm

Network Slacks-Based Measure DEA with Window Analysis