کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623878 1339526 2006 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotically optimal production policies in dynamic stochastic jobshops with limited buffers
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asymptotically optimal production policies in dynamic stochastic jobshops with limited buffers
چکیده انگلیسی

We consider a production planning problem for a jobshop with unreliable machines producing a number of products. There are upper and lower bounds on intermediate parts and an upper bound on finished parts. The machine capacities are modelled as finite state Markov chains. The objective is to choose the rate of production so as to minimize the total discounted cost of inventory and production. Finding an optimal control policy for this problem is difficult. Instead, we derive an asymptotic approximation by letting the rates of change of the machine states approach infinity. The asymptotic analysis leads to a limiting problem in which the stochastic machine capacities are replaced by their equilibrium mean capacities. The value function for the original problem is shown to converge to the value function of the limiting problem. The convergence rate of the value function together with the error estimate for the constructed asymptotic optimal production policies are established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 317, Issue 2, 15 May 2006, Pages 398-428