Optimal Machine Maintenance And Replacement By Linear Programming
Optimal Machine Maintenance And Replacement By Linear Programming
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2. Overview of General Dynamic Programming Model The equipment model we are studying is a special case of a general dynamic programming model. Since much of the methodology of this paper is appropriate to the general model, it is appropriate to begin our discussion with this model. The general model is best described using network termi- nology [1 3]. The network is G = [N^, A] where H = {1, . . . , s, . . . , S} is a collection of nodes or states, and A is a collection of directed arcs connect...ing pairs of nodes. Associated with each arc is an immediate return At the start of any time period, the system can be in one of the states s e N^. An arc (s, t) corresponds to the decision to make the transi- tion to state t during the current period with return c . . Let ^ f St A(s) = {t: (s, t) e A}, s = 1, . .. , S and B(s) = {r: (r, s) e A}. We assume A(s) is not empty for each s. If the planning horizon is T time periods and the system begins in state Sr>, the optimization problem is to find a path (sequence of decisions) y = (s^, s, ), (s, ,S2), .
What to read after Optimal Machine Maintenance And Replacement By Linear Programming?
You can find similar books in the "Read Also" column, or choose other free books by J S Daversa to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2. Overview of General Dynamic Programming Model The equipment model we are studying is a special case of a general dynamic programming model. Since much of the methodology of this paper is appropriate to the general model, it is appropriate to begin our discussion with this model. The general model is best described using network termi- nology [1 3]. The network is G = [N^, A] where H = {1, . . . , s, . . . , S} is a collection of nodes or states, and A is a collection of directed arcs connect...ing pairs of nodes. Associated with each arc is an immediate return At the start of any time period, the system can be in one of the states s e N^. An arc (s, t) corresponds to the decision to make the transi- tion to state t during the current period with return c . . Let ^ f St A(s) = {t: (s, t) e A}, s = 1, . .. , S and B(s) = {r: (r, s) e A}. We assume A(s) is not empty for each s. If the planning horizon is T time periods and the system begins in state Sr>, the optimization problem is to find a path (sequence of decisions) y = (s^, s, ), (s, ,S2), .
What to read after Optimal Machine Maintenance And Replacement By Linear Programming?
You can find similar books in the "Read Also" column, or choose other free books by J S Daversa to read onlineMoreLess
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