A mathematical model to determine the optimal production lot size for a deteriorating production system under an extended product inspection policy is developed. The last-K product inspection policy is considered so t...A mathematical model to determine the optimal production lot size for a deteriorating production system under an extended product inspection policy is developed. The last-K product inspection policy is considered so that the nonconforming items can be reduced, under which the last K products in a production lot are inspected and the nonconforming items from those inspected are reworked. Consider that the products produced towards the end of a production lot are more likely to be nonconforming, is proposed an extended product inspection policy for a deteriorating production system. That is, in a production lot, product inspections are performed among the middle K1 items and after inspections, all of the last K2 products are directly reworked without inspections. Our objective here is the joint optimization of the production lot size and the corresponding extended inspection policy such that the expected total cost per unit time is minimized. Since there is no closed form expression for our optimal policy, the existence for the optimal production inspection policy and an upper bound for the optimal lot size are obtained. Furthermore, an efficient solution procedure is provided to search for the optimal policy. Finally, numerical examples are given to illustrate the proposed model and indicate that the expected total cost per unit time of our product inspection model is less than that of the last-K inspection policy.展开更多
With the rapid development of modern society and the continuous upgrading of scientific and technological equipment, especially with the continuous development of engineering construction, countless high-rise building...With the rapid development of modern society and the continuous upgrading of scientific and technological equipment, especially with the continuous development of engineering construction, countless high-rise buildings have been built. In order to improve the efficiency of engineering construction, it is necessary to manage and maintain the use of engineering mine steel wire ropes and prolong the service life of engineering mine steel wire ropes. This paper discusses and studies the management and maintenance of modern engineering mine steel wire ropes, analyzes the importance of management and maintenance of engineering mine steel wire ropes, and then studies and analyzes the use characteristics and maintenance characteristics of engineering mine steel wire ropes, so as to put forward the management and maintenance strategies of modern engineering mine-used steel wire ropes.展开更多
基金supported by the National Natural Science Foundation of China(60874034).
文摘A mathematical model to determine the optimal production lot size for a deteriorating production system under an extended product inspection policy is developed. The last-K product inspection policy is considered so that the nonconforming items can be reduced, under which the last K products in a production lot are inspected and the nonconforming items from those inspected are reworked. Consider that the products produced towards the end of a production lot are more likely to be nonconforming, is proposed an extended product inspection policy for a deteriorating production system. That is, in a production lot, product inspections are performed among the middle K1 items and after inspections, all of the last K2 products are directly reworked without inspections. Our objective here is the joint optimization of the production lot size and the corresponding extended inspection policy such that the expected total cost per unit time is minimized. Since there is no closed form expression for our optimal policy, the existence for the optimal production inspection policy and an upper bound for the optimal lot size are obtained. Furthermore, an efficient solution procedure is provided to search for the optimal policy. Finally, numerical examples are given to illustrate the proposed model and indicate that the expected total cost per unit time of our product inspection model is less than that of the last-K inspection policy.
文摘With the rapid development of modern society and the continuous upgrading of scientific and technological equipment, especially with the continuous development of engineering construction, countless high-rise buildings have been built. In order to improve the efficiency of engineering construction, it is necessary to manage and maintain the use of engineering mine steel wire ropes and prolong the service life of engineering mine steel wire ropes. This paper discusses and studies the management and maintenance of modern engineering mine steel wire ropes, analyzes the importance of management and maintenance of engineering mine steel wire ropes, and then studies and analyzes the use characteristics and maintenance characteristics of engineering mine steel wire ropes, so as to put forward the management and maintenance strategies of modern engineering mine-used steel wire ropes.
