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Title: A Mathematical Model to Determine the Process Parameters of a Deteriorating Process for Optimum Production Cost
Authors: Tahera, K. 
Ibrahim, R. N. 
Lochert, P. B. 
Issue Date: 2007
Publisher: University of the Thai Chamber of Commerce
Source: K. Tahera, R. N. Ibrahim, P. B. Lochert (2007) A Mathematical Model to Determine the Process Parameters of a Deteriorating Process for Optimum Production Cost.
Conference: Proceedings of the 2nd International Conference on Operations and Supply Chain Management 
Abstract: A mathematical model is developed in this paper torepresent a deteriorating process that has multipledependent quality characteristics. The deterioration isassumed to be the combined effect of a drift and a shiftresulting from the random occurrence of assignablecauses. Consequently, the process moves into an out-ofcontrolstate where the proportion of defective itemsincreases and affects the production cost. The proposedmodel jointly determines the optimal process parameterssuch as initial process mean and the production run in thisstate which incurs minimum production cost. The jointeffect of a drift and a shift was not considered in theexisting models of the literature. Additionally, most of themodels assumed that the process has a single qualitycharacteristic. A few researchers considered a processwith multiple quality characteristics; however, theyassumed that the process has independent qualitycharacteristics. This assumption is being relaxed in theproposed model and thereby helps management to makedecisions on process adjustment based on an economiccriteria.
Rights: This work is protected by copyright. Reproduction or distribution of the work in any format is prohibited without written permission of the copyright owner.
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