optimum process adjustment under inspection errors with considering the cycle time of production and two markets for the sale of goods

this paper is devoted to the study of determining optimal process mean in system production with the two markets for the sale of goods. in this paper, we developed an absorbing markov chain model in production systems where all items are inspected %100 for conformance with their specification limits. when the value of the quality characteristic of an item falls below a lower limit, the item is scrapped. if it falls above an upper limit, the item is reworked (reprocessed). products items conformance with specification limits sold in a primary market or a secondary market. flow of material through the production system can be modeled in an absorbing markov chain. we included cycle time of production line in model. also effects of inspection errors are investigated. numerical examples are given to demonstrate the application of the proposed model.