An optimal production run time with imperfect production processes and allowable shortages

Authors:
Kun-Jen Chung;Kuo-Lung Hou
Affiliations:
Departrnent of Industrial Management, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei 106, Taiwan, ROC;Department of Statistics, National Defense Management College, Chungho, Taipei, Taiwan, ROC
Venue:
Computers and Operations Research
Year:
2003

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Abstract

This paper develops a model to determine an optimal run time for a deteriorating production system under allowable shortage. It is assumed that the elapsed time until the production process shift is arbitrarily distributed. We show that there exists a unique optimal production run time to minimize the total relevant cost function. Finally, bounds for the optimal production run time are provided to develop the solution procedure.