single_asip: Single Acceptance Sampling Inspection Plan

In rSSP: Single Acceptance Sampling Plans for Time-Truncated Life Test

Single Acceptance Sampling Inspection Plan

Description

Calculates the minimum required sample size for a single acceptance sampling inspection plan under a time-truncated life test using the producer's risk condition Pa <= be.

Usage

single_asip(p, a, b, be = 0.25, c = 0)

Arguments

p	User-defined probability of failure before the termination time. It must lie between 0 and 1.
a	Termination ratio, defined as a = t/theta0. It must be a positive numeric value.
b	Quality ratio, defined as b = theta/theta0. It must be a positive numeric value.
be	Producer's risk. It must be a value between 0 and 1.
c	Acceptance number. It must be a non-negative integer.

Details

The probability p is user-defined. Therefore, no particular lifetime distribution is embedded in this function.

Value

A data frame containing a, b, p, be, c, required sample size n, and probability of acceptance Pa.

Examples

# Example 1: User-defined failure probabilities
p <- c(0.05, 0.10, 0.15, 0.20)

single_asip(
  p = p,
  a = c(0.5, 1, 1.5, 2),
  b = 1,
  be = 0.25,
  c = 0
)

# Example 2: Failure probabilities obtained from
# a Burr Type X lifetime distribution

al <- 0.5
b <- 1
a <- c(0.4, 0.6, 0.8, 1, 1.5, 2, 2.5, 3)

h <- sqrt(
  -log(
    1 - (1/2)^(1/al)
  )
)

p <- (1 - exp(-(a * h / b)^2))^al

single_asip(
  p = p,
  a = a,
  b = b,
  be = 0.25,
  c = 6
)

rSSP documentation built on Sept. 15, 2026, 1:09 a.m.