Determining the Optimal Target Value for a Process With Upper and Lower Specifications

Dodson, Bryan

doi:10.1080/08982119308918982

Cited by 17 publications

(5 citation statements)

References 3 publications

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“…For examples, see Hunter and Kartha (1977), Bisgaard ct a/. (1984), Carlsson (1984Carlsson ( , 1989Carlsson ( , 1992, Golhar (1987, Golhar and Pollock 1988, Rahim (1990, 1991), Boucher and Jafari (1991), Gupta and Golhar (1991), and Dodson (1993). An assumption common in the above study is that the process mean remains unchanged throughout the production period when the optimal setting for the process mean is set at the start of the production cycle.…”

Section: Introductionmentioning

confidence: 97%

Determination of the optimal production run and the most profitable process mean for a production process

Chen

Chung

1996

International Journal of Production Research

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This paper deals with the problem of joint determination of the optimal process mean and the production run for a process. It extends the Quality Selection problem to production systems in which the process mean (target) shifts to an outof-control state due to an assignable cause. The problem has been validated using various exan~ples. Moreover, results indicate that an inverse relationship exists for the length of production run and the difference expected profit between in-control state and out-of-control state.

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Section: Introductionmentioning

confidence: 97%

Determination of the optimal production run and the most profitable process mean for a production process

Chen

Chung

1996

International Journal of Production Research

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“…The introduction of the upper limit is associated with a penalty or rework cost. This subsection investigates the impact of the value of the rework cost on the improvement in the expected profit, given by Equation (10) and that of [33]. The improvement is computed using Equation (12) below, where E(TP) * is the maximum expected profit as obtained by the current model in Equation (10) Figure 2 shows that as the rework cost, R, increases, the percentage of improvement decreases.…”

Section: The Impact Of Setting Upper Specification Limitsmentioning

confidence: 99%

A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products

Abdel-Aal

Selim

2019

Mathematics

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This paper presents a generalized targeting model that subsumes most known targeting problems. In this paper, a recurrent state is defined as a condition that requires reprocessing or rework. The generalized model can accommodate one or two specifications limits and can be used for the following quality characteristics: The nominal-the-better, the larger-the-better, and the smaller-the-better. This model can be used to find the optimal mean of a quality characteristic, as well as the optimal specification limits. In addition, the paper studies the conditions under which the solution to the proposed model can provide a global solution. The paper shows that, for some of the special cases and under very general conditions, the optimal lower limit should be zero and the optimal upper limit should be infinity. This paper proves that the expected profits improve for the case where only a lower limit on the quality characteristic is used, if a recurrent state is included by adding an optimized upper limit. A special case of the model is used to study the problem of determining a common mean for multiple products, as well as the optimal upper specification limits for each product. A solution procedure for maximizing the expected profits and obtaining the optimal solution is introduced. A numerical example is presented.

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“…This issue is widely discussed under a single input/output characteristic setting in many studies (Golhar and Pollock, 1988;Dodson, 1993;Spring and Yeung, 1998; Rahim and Shaibu, 2000;Huang, 2000). However, in reality, most products have several interesting quality characteristics, in which it is more appropriate to consider the multivariate problem, that is, multiple inputs and outputs.…”

Section: Introductionmentioning

confidence: 99%

Optimization of process parameters using weighted convex loss functions

Chang

Liu

Hung

2009

European Journal of Operational Research

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Determining the Optimal Target Value for a Process With Upper and Lower Specifications

Cited by 17 publications

References 3 publications

Determination of the optimal production run and the most profitable process mean for a production process

Determination of the optimal production run and the most profitable process mean for a production process

A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products

Optimization of process parameters using weighted convex loss functions

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