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Aircraft Turbine Engine Cost Model

This model uses equations for estimating development and production costs and time of arrival for U.S. military turbojet and turbofan engines. Interest in further investigation of aircraft turbine engine cost estimating relationships (CERs) grew out of the availability of data for engines recently developed, and experience with the CERs in Rand's computer model for estimating Development and Procurement Costs of Aircraft (DAPCA).

After establishing criteria for selecting explanatory variables and CERs, regression analysis was applied to the expanded data base to develop improved relationships for the cost of development to the model qualification test (MQT), total development cost, and the cumulative average price at the 1000th production engine. The engine characteristics that best explain development cost through MQT and production cost are maximum thrust of the engine at sea-level-static conditions, an indicator of engine size; Mach number, a measure of performance; and turbine inlet temperature, the dominant technical parameter in the engine cycle. For total development cost, which includes the expenses involved in developing a new engine to MQT, plus the cost to correct service related deficiencies and costs for continual performance and reliability improvements over time, the derived equation includes a production quantity term as well as thrust and Mach number.

The estimating relationship for time of arrival (TOA) was also refined in this study. The TOA method links certain engine performance characteristics with time to provide a measure of an engine's state of the art. The refined TOA model is based on 29 U.S. military turbojet and turbofan engines developed and produced during the past 30 years. The model predicts the man-rated MQT date as a function of certain of the engine's performance and design parameters. The parameters include engine thrust to weight ratio, turbine inlet temperature, and specific fuel consumption, which are the three most important technical characteristics in the turbine engine development process.

These models are intended for use by long range military planners attempting to determine costs for new systems - especially those of a technically advanced nature - so that better estimates can be made. All parameters needed are readily available at an early stage of planning for a new system. Care must be exercised in using these models to ensure that inputs are consistent with the data base used in this study. For example, cost estimates will reflect military technology and the manner in which programs were conducted during the 1950s, 1960s, and 1970s. If an engine is developed that is not in the mainstream trend, such as a variable cycle or lift engine, the estimating relationship described may not apply. To the extent that a new program differs from historical conditions, extrapolation will be necessary.

Source: "Development and Production Cost Estimating Relationships for Aircraft Turbine Engines," J. L. Birkler, J. B. Garfinkle, K. E. Marks, Oct. 1982, Rand, N-1882-AF


Note. These models are provided as educational examples of technology developed and used by cost engineers. Use at your own risk. These tools are written in JavaScript and require a browser with JavaScript capability. If you have trouble viewing or using these tools, please consult the frequently asked questions.


Input Data
Max rated thrust, sea-level-static, including afterburner pounds
Max Mach number ( 1.0 for subsonic engines) Mach
Max turbine inlet temperature degrees Rankine
Engine dry weight pounds
Specific fuel consumption, military thrust, sea-level static lb./hr./lb. thrust
Quantity of engines produced  

Results (millions of FY2004 US$)
Development cost to MQT
Total cost of development
Cumulative average production cost through the 1000th engine (in dollars)
Year of arrival at successful MQT

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