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The IUP Journal of Management Research :
GERT Analysis of Life Tests Corrective Action Plan Based on Gamma Failure Model
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The paper presents a life test corrective action plan based on the gamma failure model. The Graphical Evaluation and Review Technique (GERT) has been applied to the model, and the dynamic characteristics of the plan are analyzed. The expression for Operating Characteristics (OC), Average Sample Number (ASN) and other performance characteristics of the plan have also been derived and illustrated numerically.

 
 
 

Shankar (1999) introduced the concept of ‘corrective action scheme’ to maintain the high quality of the production processes that are not well-behaved and/or subject to some deterioration. Subsequently, Shankar and Sahu (1999) developed a corrective action model to study the effect of marginal quality performance of the process. A production process generally tends to lose some of its efficiency in service because of deterioration of machines and equipment as time elapses. In consequence, the quality of products from the process decreases with time, and therefore, some corrective action should be taken. More specifically, the problem under consideration may be stated as follows: “Given
a production process being subject to some deterioration, then the questions arise when to perform which corrective action in order to maintain high quality level of the process. Not having full information of the actual state of the process, the decisions have to be based on some partial information obtained for instance by sampling. Possible corrective actions are (minimal) repairs, adjustments, renewals, which all can be performed after detection of the deterioration or as preventive actions. A policy includes the rules for getting the information, and deciding what to do”.

Gupta and Groll (1961) developed acceptance-sampling plans based on life tests for the Gamma failure model. Later on, sampling inspection plans were studied by several authors. Some references may be made to Gupta (1962), Goode and Kao (1961), Katam and Rosaiah (1989) and Srivastava (1999).

 
 
 

Management Research Journal, Graphical Evaluation and Review Technique, GERT Analysis, Gamma Failure Model, Corrective Action Model, Production Process, Sampling Inspection Plans, Parametric Model, Cumulative Distribution Function, Gamma Distribution, Probability Density Function.