Type: Package
Title: Quality Control Charts under Repetitive Sampling
Version: 0.1.0
Author: Muhammad Yaseen [aut, cre], Muhammad Aslam [aut, ctb], Sami Ullah [aut, ctb], Muhammad Azam [aut, ctb], Chi-Hyuck Jun [aut, ctb], Muhammad Kashif [aut, ctb]
Maintainer: Muhammad Yaseen <myaseen208@gmail.com>
Description: Functions to calculate Average Sample Numbers (ASN), Average Run Length (ARL1) and value of k, k1 and k2 for quality control charts under repetitive sampling as given in Aslam et al. (2014) (<doi:10.7232/iems.2014.13.1.101>).
Depends: R (≥ 3.1)
Imports: dplyr, magrittr, purrr, stats, tibble
License: GPL-2
URL: https://github.com/myaseen208/qccrs, https://myaseen208.github.io/qccrs/
Encoding: UTF-8
LazyData: true
RoxygenNote: 6.1.1
Note: Department of Mathematics and Statistics, University of Agriculture Faisalabad, Faisalabad-Pakistan.
Suggests: testthat
NeedsCompilation: no
Packaged: 2018-11-29 13:14:17 UTC; myaseen
Repository: CRAN
Date/Publication: 2018-12-03 19:50:03 UTC

Quality Control Charts under Repetitive Sampling

Description

The qccrs package provides functionalities to calculate Average Sample Numbers (ASN), Average Run Length (ARL1) and value of k, k1 and k2 for quality control charts under repetitive sampling as given in Aslam et al. (2014).

Author(s)

  1. Muhammad Yaseen (myaseen208@gmail.com)

  2. Muhammad Aslam (aslam_ravian@hotmail.com)

  3. Sami Ullah (samiullahuos@gmail.com)

  4. Muhammad Azam (mazam@uvas.edu.pk)

  5. Chi-Hyuck Jun (chjun@postech.ac.kr)

  6. Muhammad Kashif (mkashif@uaf.edu.pk)

References

Aslam, M., Azam, M. and Jun, C. (2014). New Attributes and Variables Control Charts under Repetitive Sampling. Industrial Engineering & Management Systems. 1(13):101-106.

NP Control Charts under Repetitive Sampling with single positive integer.

Description

Calculates Average Sample Numbers (ASN), Average Run Length (ARL1) and value of k for NP control charts under repetitive sampling as given in Aslam et al.(2014)

Usage

## Default S3 method:
npcrs1(.n, .p0, .f, .ssize = NULL, .k = NULL,
  .kr = NULL)

Arguments

.n

Sample Size

.p0

probability that process is in control

.f

Size of the Shift

.ssize

Number of samples with replacement at each iteration

.k

Positive Constant

.kr

Random Positive Constant

Value

ARL0, ARL1 and K

Author(s)

  1. Muhammad Yaseen (myaseen208@gmail.com)

  2. Muhammad Aslam (aslam_ravian@hotmail.com)

  3. Sami Ullah (samiullahuos@gmail.com)

  4. Muhammad Azam (mazam@uvas.edu.pk)

  5. Chi-Hyuck Jun (chjun@postech.ac.kr)

  6. Muhammad Kashif (mkashif@uaf.edu.pk)

References

Aslam, M., Azam, M. and Jun, C. (2014). New Attributes and Variables Control Charts under Repetitive Sampling. Industrial Engineering & Management Systems. 13(1):101-106.

Examples


library(magrittr)
npcrs1(
  .n     = 60
, .p0    = 0.10
, .f     = 0.10
, .k     = 2.6432
)


npcrs1(
  .n     = 60
, .p0    = 0.10
, .f     = 0.10
, .ssize = 1000
, .kr    = 4
)

Attributes Control Charts under Repetitive Sampling with two positive integers

Description

Calculates Average Sample Numbers (ASN), Average Run Length (ARL1) and value of k1 and k2 for attributes control charts under repetitive sampling as given in Aslam et al.(2014)

Usage

npcrs2(.n, .p0, .f, .ssize = NULL, .k1 = NULL, .k2 = NULL,
  .k1r = NULL, .k2r = NULL)

## Default S3 method:
npcrs2(.n, .p0, .f, .ssize = NULL, .k1 = NULL,
  .k2 = NULL, .k1r = NULL, .k2r = NULL)

Arguments

.n

Sample Size

.p0

probability that process is in control

.f

Size of the Shift

.ssize

Number of samples with replacement at each iteration

.k1

Fixed positive constant

.k2

Fixed positive constant

.k1r

Random postive constant

.k2r

Random postive constant

Value

ASN, ARL, K1 and K2

Author(s)

  1. Muhammad Yaseen (myaseen208@gmail.com)

  2. Muhammad Aslam (aslam_ravian@hotmail.com)

  3. Sami Ullah (samiullahuos@gmail.com)

  4. Muhammad Azam (mazam@uvas.edu.pk)

  5. Chi-Hyuck Jun (chjun@postech.ac.kr)

  6. Muhammad Kashif (mkashif@uaf.edu.pk)

References

Aslam, M., Azam, M. and Jun, C. (2014). New Attributes and Variables Control Charts under Repetitive Sampling. Industrial Engineering & Management Systems. 13(1):101-106.

Examples


library(magrittr)
 npcrs2(
  .n     = 40
, .p0    = 0.10
, .f     = 0.1
, .ssize = 1000
, .k1r   = 4
, .k2r   = .95
   )


npcrs2(
  .n     = 40
, .p0    = 0.10
, .f     = 0.1
, .k1    = 3.13
, .k2    = .731
   )

Xbar Control Charts Under Repetitive Sampling

Description

Calculates the Average Sample Number and Average Run Length as given in Aslam et al. (2014)

Usage

xrs(.c, .n, .k1, .k2)

## Default S3 method:
xrs(.c, .n, .k1, .k2)

Arguments

.c

Size of the Shift

.n

Sample Size

.k1

Positive Integer

.k2

Positive Integer

Value

Average Sample Number (ASN) and Average Run Length (ARL1) for xbar control charts under repetitive sampling

Author(s)

  1. Muhammad Yaseen (myaseen208@gmail.com)

  2. Muhammad Aslam (aslam_ravian@hotmail.com)

  3. Sami Ullah (samiullahuos@gmail.com)

  4. Muhammad Azam (mazam@uvas.edu.pk)

  5. Chi-Hyuck Jun (chjun@postech.ac.kr)

  6. Muhammad Kashif (mkashif@uaf.edu.pk)

References

Aslam, M., Azam, M. and Jun, C. (2014). New Attributes and Variables Control Charts under Repetitive Sampling. Industrial Engineering & Management Systems. 1(13):101-106.

Examples


library(magrittr)
library(purrr)

c(0.0, 0.1, 0.20, 0.3, 0.4, 0.5, 1.0, 1.5, 2, 3) %>%
purrr::map(
function(x) 
    xrs(
        .c     = x
      , .n     = 10
      , .k1    = 2.9301
      , .k2    = 0.9825))