Markov Quick Calculation Pad

BlockSim includes a Quick Calculation Pad (QCP) for computing useful metrics. You can access the QCP by choosing Analysis > Analysis > Analytical QCP or by clicking its icon on the Analytical page of the diagram control panel.

To perform a calculation, select the appropriate option and enter any required inputs in the Input area, then click Calculate. For more detailed information on how to use the QCP in general, see Quick Calculation Pad (QCP).

The following calculations are available for discrete Markov diagrams:

  • State-Level Results

ClosedPoint Probability

Calculates the probability of the system being in a given state at a given step. Enter the step at which you wish to calculate the point probability in the Mission End Time field and choose the state of interest in the State field.

ClosedPoint Probability Complement

Calculates the probability of the system not being in a given state at a given step. Enter the step at which you wish to calculate the point probability complement in the Mission End Time field and choose the state of interest in the State field.

ClosedMean Probability

Calculates the overall mean probability of the system being in a given state during the entire analysis. Choose the state of interest in the State field.

ClosedSteps Spent in State

Calculates the overall number of steps that the system spends in a given state during the entire analysis (mean probability * number of steps in the analysis). Choose the state of interest in the State field.

The following calculations are available for continuous Markov diagrams:

  • System-Level Results

ClosedPoint Availability

Calculates the probability that the system will be in an available state at a certain point in time, when return from unavailable states is considered. Enter the time at which you wish to calculate the point availability in the Mission End Time field. The mission is assumed to start at time = 0.

ClosedPoint Unavailability

Calculates the probability that the system will be in an unavailable state at a certain point in time. Enter the time at which you wish to calculate the point unavailability in the Mission End Time field. The mission is assumed to start at time = 0.

The point unavailability is the inverse of the point availability. For example, a 10% point unavailability is equivalent to a 90% point availability.

ClosedPoint Reliability

Calculates the probability that the system will be in an available state, without ever having entered an unavailable state, at a certain point in time. Enter the time at which you wish to calculate the point reliability in the Mission End Time field. The mission is assumed to start at time = 0.

ClosedPoint Prob. of Failure

Calculates the probability that the system has at some point entered an unavailable state by a certain point in time. Enter the time at which you wish to calculate the probability of failure in the Mission End Time field. The mission is assumed to start at time = 0.

Probability of failure is also known as unreliability and it is the complement of the reliability. For example, a point probability of failure of 10% for a mission end time of 3 years is equivalent to a 90% reliability.

  • State-Level Results

ClosedPoint Probability (Av)

Calculates the probability that the system will be in a given state at a given time, when return from unavailable states is considered. Enter the time at which you wish to calculate the probability in the Mission End Time field. The mission is assumed to start at time = 0. Choose the state of interest in the State field.

Closed1 - Point Probability (Av)

Calculates the probability that the system will not be in a given state at a given time, when return from unavailable states is considered. Enter the time at which you wish to calculate the probability in the Mission End Time field. The mission is assumed to start at time = 0. Choose the state of interest in the State field.

ClosedPoint Probability (Rel)

Calculates the probability that the system will be in a given state at a given time, when return from unavailable states is ignored. Enter the time at which you wish to calculate the point availability in the Mission End Time field. The mission is assumed to start at time = 0. Choose the state of interest in the State field.

Closed1 - Point Probability (Rel)

Calculates the probability that the system will not be in a given state at a given time, when return from unavailable states is ignored. Enter the time at which you wish to calculate the probability in the Mission End Time field. The mission is assumed to start at time = 0. Choose the state of interest in the State field.