Controlling Production Processes Which are Subject to Linear Trends

Roger I. Hall · Samuel Eilon

24 citations0/0 files storedJournal of the Operational Research Society

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Advanced Statistical Process Monitoring Reliability and Maintenance Optimization Management and Optimization Techniques

Abstract

Industrial processes must often be reset when a critical dimension of the product approaches or exceeds a specified value. This control procedure ensures that specifications remain between predetermined limits, but the resetting operation may be costly and involve loss of production time. Optimal resetting policies are examined for processes which exhibit a linear trend of a variable dimension produced by the process with a known distribution. Optimal policies are discussed for two criteria: (a) maximum rate of production and (b) minimum cost per unit.

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1988Optimal production run for a process with random linear drift 2001Optimal control of a deteriorating process with a quadratic loss function 2007Joint determination of process mean and production run: A review 1999DETERMINATION OF AN OPTIMAL SETTING AND PRODUCTION RUN USING TAGUCHI'S LOSS FUNCTION 2016A mathematical model and optimization of total production cost and quality for a deteriorating production process 1997An extension of Rahim and Banerjee's model for a process with upper and lower specification limits

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