کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1134304 956063 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Combining a maintenance center M/M/c/m queue into the economic production quantity model with stochastic machine breakdowns and repair
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی صنعتی و تولید
پیش نمایش صفحه اول مقاله
Combining a maintenance center M/M/c/m queue into the economic production quantity model with stochastic machine breakdowns and repair
چکیده انگلیسی

This article considers a production system in which “m” identical machines produce nonidentical products at production rates. Products made by each machine are on the other hand consumed at a specific demand rate. Machines may be affected by unwanted breakdowns. Machines break down according to a Poisson distribution with equal rates and the failed machines are sent to maintenance center for repair which is consisted of “c” servers or servicemen. However, Number of machines is greater than number of servicemen (m > c). Hence, if the number of failed machines is greater than that of servicemen, the machines have to be put in a queue. Machines are put in one queue with the order of queue being FCFS. The queue has a typical M/M/c/m system. If machines are broken down during production, shortage will occur. This problem has been considered to obtain a single production cycle for the machines and an optimum number of the servers such that costs are minimized. For this purpose, distribution of waiting time for machines in repair center is calculated and a cost function is formed. Steepest descent and direct search methods are applied in this work to obtain optimal production cycle and maintenance servers, respectively. The proposed methods are studied using a comprehensive example.


► We obtained production period length of an EPQ model with machine breakdowns.
► Probability distribution of machines’ waiting time at repair center is calculated.
► Optimal number of maintenance servers are also calculated.
► Methods of direct search and steepest descent are used to minimize cost function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Industrial Engineering - Volume 63, Issue 4, December 2012, Pages 864–874
نویسندگان
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