International Journal of Engineering, Science and Mathematics
  • Year: 2021
  • Volume: 10
  • Issue: 12

Economic reliability design methods for generalized exponential - Poisson distribution

  • Author:
  • V. Kaviyarasu1, S. Sivasankari2
  • Total Page Count: 13
  • Page Number: 1 to 13

1Assistant Professor, Department of statistics, Bharathiar University, Coimbatore-641 046, Tamil Nadu, India

2Ph. D Research Scholar, Department of statistics, Bharathiar University, Coimbatore-641 046, Tamil Nadu, India

Online published on 15 September, 2023.

Abstract

This article presents, a new three parameter compound distribution named as Generalized Exponential-Poisson distribution is developed towards the performance measures of reliability sampling plan under minimum total cost analysis. Single Acceptance sampling plan is proposed for the truncated life test when the life time of the item follows the GEP distribution. The minimum sample size are obtained when the consumers risk and test termination time are specified. The Operating Characteristic values and sensitivity analysis of the cost parameters are also exhibited for the specified percentile accompanying with the economic designing of the plan. Minimum Total cost function values are given and the results are discussed with the help of table values and it reveals with the suitable real time example.

Keywords

Consumer's risk, Generalized Exponential -Poisson distribution, Minimum Total cost, Percentiles, Truncated life test plan