maji Reference

Efficiency Formulas Quick Reference

The equations behind majaco's time-based measurement framework. For the full interactive methodology, see the Time Hierarchy page.

Glossary

This is the single source of truth for all acronyms used across the Time Hierarchy page and this reference. All terms are listed alphabetically.

Abbreviation Full Name Definition
BNS Bottleneck Speed Maximum demonstrated sustainable speed of the constraining process step
LTMW Lost Time Making Waste Time equivalent of producing defective output. Formula: Waste Output / Run Speed
LTSR Lost Time Slow Running Time equivalent of running below BNS. Formula: Good Output / Run Speed − Good Output / BNS
OEE Overall Equipment Effectiveness PT / PPT. Measures execution within planned production time. Equivalent to Good Output / (PPT × BNS). Note: industry-standard A × P × Q is the multiplicative form; majaco uses the additive equivalent
OOE Overall Operations Effectiveness PT / Shift Time. Management metric covering all shift losses including schedule loss and PDT. Same formula as “Machine Efficiency” — name signals production context
PDT Planned Downtime Scheduled stops: changeovers, planned maintenance, start-of-shift checks
PPT Planned Production Time Shift Time − Schedule Loss. Time explicitly scheduled for production
PT Potential Time Good Output / BNS. Theoretical minimum time to produce actual good output at maximum bottleneck speed
TEEP Total Effective Equipment Performance PT / Calendar Time. Strategic metric for production-constrained environments
UMP Unit Marginal Profit Revenue minus truly variable costs per unit
UPDT Unplanned Downtime Breakdowns, stoppages, material/labour waiting

Time Hierarchy

Every level is formed by subtracting a loss category from the level above. The result is PT — the theoretical minimum time to produce your actual good output at BNS.

Calendar Time
− Non-working Time →
Shift Time
− Schedule Loss →
PPT (Planned Production Time)
− PDT (Planned Downtime) →
Operating Time
− UPDT (Unplanned Downtime) →
Up Time
− LTSR, LTMW →
PT (Potential Time) = Good Output / BNS

For the full interactive hierarchy with expandable levels, see the Time Hierarchy page.

Core Formulas

PT = Good Output / BNS
Run Speed = Total Output / Up Time
LTSR = Good Output / Run Speed − Good Output / BNS
LTMW = Waste Output / Run Speed
UPDT = Operating Time (Actual) − Up Time
Up Time = PT + LTSR + LTMW
Operating Time (Actual) = PT + LTSR + LTMW + UPDT  (must balance — MECE verification)
Planning Rate = BNS × Operating Efficiency (planned)

Efficiency Metrics

Metric Formula Denominator scope Audience Constraint context
Operating Efficiency PT / Operating Time Losses within operating time (UPDT, LTSR, LTMW) Shop floor Both
OEE PT / PPT Adds PDT Operations Both
OOE (Machine Efficiency) PT / Shift Time Adds Schedule Loss Management Both
TEEP PT / Calendar Time Adds Non-working Time Strategic Production-constrained
Output per Labour Hour Good Output / Labour Hours N/A Strategic Sales-constrained

Equivalence proof

Since PT = Good Output / BNS:

OEE = PT / PPT = (Good Output / BNS) / PPT = Good Output / (PPT × BNS) = Good Output / Potential Output

Every metric in the table follows this pattern: good output as a proportion of what could have been produced in the denominator time window at BNS.

Widening denominator logic: each metric widens the denominator one level up the hierarchy. Operating Efficiency measures execution; OEE adds PDT accountability; OOE adds schedule loss; TEEP adds non-working time. Choose based on who is accountable for the losses in scope.

Machine Efficiency vs OOE: Machine Efficiency and OOE are the same formula (PT / Shift Time) — the name changes with strategic intent. Use “Machine Efficiency” in a sales-constrained context; “OOE” in a production-constrained context.

For financial valuation of lost time (production-constrained vs sales-constrained), see the Time Hierarchy page.

Diagnostic Quick Reference

LTSR Elevated?

Two possible causes — the fix is different for each:

  1. True slow running — the line deliberately operates below BNS (e.g. operator reduces speed for quality reasons).
  2. Micro-stops — the line runs at full speed between frequent brief stops that are too short to log as UPDT but reduce the average Run Speed.

Diagnose with a lineside time study: observe whether the line speed setting matches BNS, or whether frequent micro-stops are dragging the average down.

UPDT Prioritisation

Use a frequency–duration matrix to prioritise UPDT events:

Low DurationHigh Duration
High Frequency Highest value — often missed; frequent short stops that aggregate to large losses Major chronic issue — visible and usually already being addressed
Low Frequency Noise — low total impact Rare catastrophic events — address through preventive maintenance

MECE Verification

Operating Time (Actual) must equal PT + LTSR + LTMW + UPDT. If it does not balance, a loss category has been mis-allocated. Check Run Speed and BNS inputs first.

See what your lost time is costing you

majaco can implement this framework in your facility — from data collection design through to live dashboards and financial valuation.

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