Absorbing Markov Chain Models to Determine Optimum Process Target Levels in Production Systems with Dual Correlated Quality Characteristics

Mohammad Saber Fallah Nezhad, Hasan Hosseini Nasab

Abstract


For a manufacturing organization to compete effectively in the global marketplace, cutting costs and improving overall efficiency is essential.  A single-stage production system with two independent quality characteristics and different costs associated with each quality characteristic that falls below a lower specification limit (scrap) or above an upper specification limit (rework) is presented in this paper. The amount of reworks and scraps are assumed to be depending on the process parameters such as process mean and standard deviation thus the expected total profit is significantly dependent on the process parameters. This paper develops a Markovian decision making model for determining the process means. Sensitivity analyzes is performed to validate, and a numerical example is given to illustrate the proposed model. The results showed that the optimal process means extremely effects on the quality characteristics’ parameters.


Keywords


Markov Chain, Process Mean, Bi-variate Normal Distribution

Full Text:

PDF


DOI: http://dx.doi.org/10.18187/pjsor.v8i2.268

Refbacks

  • There are currently no refbacks.




Copyright (c)

Title

Absorbing Markov Chain Models to Determine Optimum Process Target Levels in Production Systems with Dual Correlated Quality Characteristics

Keywords

Markov Chain, Process Mean, Bi-variate Normal Distribution

Description

For a manufacturing organization to compete effectively in the global marketplace, cutting costs and improving overall efficiency is essential.  A single-stage production system with two independent quality characteristics and different costs associated with each quality characteristic that falls below a lower specification limit (scrap) or above an upper specification limit (rework) is presented in this paper. The amount of reworks and scraps are assumed to be depending on the process parameters such as process mean and standard deviation thus the expected total profit is significantly dependent on the process parameters. This paper develops a Markovian decision making model for determining the process means. Sensitivity analyzes is performed to validate, and a numerical example is given to illustrate the proposed model. The results showed that the optimal process means extremely effects on the quality characteristics’ parameters.


Date

2012-03-28

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 2, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810