Could you provide the definition of Ao (Operational Availability and Material Availability) and how they relate to one another. Could you also provide me a link to where I can gather this information?
The following info was derived from the MANUAL FOR THE OPERATION OF THE JOINT CAPABILITIES INTEGRATION AND DEVELOPMENT SYSTEM, dated Feb 2009, updated 31 January, 2011.
This Manual replaces the cancelled CJCSM 3170.01C
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(1) Availability KPP. Availability will consist of two components: Materiel Availability and Operational Availability. The components provide availability percentages from a corporate, fleet-wide perspective and an operational unit level, respectively. The Operational Availability metric is an integral step to determining the fleet readiness metric expressed by Materiel Availability. The following provides guidance for development of both metrics:
(a) Materiel Availability. Materiel Availability is a measure of the percentage of the total inventory of a system operationally capable (ready for tasking) of performing an assigned mission at a given time, based on materiel condition. This can be expressed mathematically as number of operational end items/total population. The Materiel Availability addresses the total population of end items planned for operational use, including those temporarily in a non-operational status once placed into service (such as for depot-level maintenance). The total life-cycle timeframe, from placement into operational service through the planned end of service life, must be included. This is often referred to as equipment readiness. Development of the Materiel Availability metric is a program manager responsibility.
(b) Operational Availability
. Operational Availability indicates the percentage of time that a system or group of systems within a unit are operationally capable of performing an assigned mission and can be expressed as (uptime/(uptime downtime)). Determining the optimum value for Operational Availability requires a comprehensive analysis of the system and its planned use as identified in the CONOPS, including the planned operating environment, operating tempo, reliability alternatives, maintenance approaches, and supply chain solutions. Development of the Operational Availability metric is a requirements manager responsibility. You can access the manual via the following link: https://dap.dau.mil/policy/Documents/2011/JCIDS Manual.pdf
Another good place to get the definition and equations for Ao and Am is in the DAU glossary.
The link is https://dap.dau.mil/glossary/Pages/Default.aspx
In the glossary the definitions and equations are:
Operational Availability (AO)
1. The percentage of time that a system or group of systems within a unit are operationally capable of performing an assigned mission and can be expressed as uptime/(uptime downtime). Development of the Operational Availability metric is a Requirements Manager responsibility.
2. The degree (expressed as a decimal between 0 and 1, or the percentage equivalent) to which one can expect a piece of equipment or weapon system to work properly when it is required, that is, the percent of time the equipment or weapon system is available for use. AO represents system "uptime" and considers the effect of reliability, maintainability, and Mean Logistics Delay Time (MLDT). AO may be calculated by dividing Mean Time Between Maintenance (MTBM) by the sum of the MTBM, Mean Maintenance Time (MMT), and MLDT, that is,
AO = MTBM ÷ (MTBM MMT MLDT) It is the quantitative link between readiness objectives and supportability.
See also (in the DAU Glossary):
Mean Logistics Delay Time (MLDT)
Mean Maintenance Time (MMT)
Mean Time Between Maintenance (MTBM)
Materiel Availability (AM)
One of the two components of the Availability Key Performance Parameter (KPP), defined as the percentage of the total inventory of a system operationally capable (ready for tasking) of performing an assigned mission at a given time, based on materiel condition. Development of the Materiel Availability metric is a Program Manager (PM) responsibility.
See also (in the DAU Glossary):
Availability Key Performance Parameter (KPP)
Required Key Performance Parameters (KPP)