Chen, Ying-Chieh A series-type multistage production system with random demand. (English) Zbl 1039.90013 Int. J. Math. Math. Sci. 2003, No. 40, 2567-2581 (2003). Summary: We propose a mathematical model which considers the series-type product structure with \(n-1\) predecessors. Our objective is to obtain the optimal production functions, in the planning horizon \([0,T]\), based on the assumptions (1) that the cost of production unit is a linear function of production quantity in a time unit, (2) that sales of finished goods occur at the end of planning horizon, and (3) that product demand is a random variable. Then the phenomenon of optimal solution is discussed. MSC: 90B30 Production models 90B05 Inventory, storage, reservoirs 49N90 Applications of optimal control and differential games PDF BibTeX XML Cite \textit{Y.-C. Chen}, Int. J. Math. Math. Sci. 2003, No. 40, 2567--2581 (2003; Zbl 1039.90013) Full Text: DOI EuDML OpenURL