Title :
Analysis and algorithm for the stochastic control problem of a production/storage system
Author :
Val, J. B Ribeiro do ; Salles, J. L Félix
Author_Institution :
Univ. Estadual de Campinas, Brazil
Abstract :
One of the simplest problems of optimal control of production rate in a production storage system is studied. A single type of item is produced to meet a random demand, and resources can be channeled either to production or to financial assets. Queuing or renewal theory approaches are not appropriate to deal with this problem, and it is best modeled by a piecewise deterministic Markov process as defined by M.H.A. Davis (1984). Optimal solutions are fully characterized by means of the Hamilton-Jacobi-Bellman equation, and an efficient algorithm is proposed for which a recursive procedure over the whole domain and an optimization test are performed in two distinct phases
Keywords :
Markov processes; optimisation; production control; queueing theory; stock control; Hamilton-Jacobi-Bellman equation; optimal control; optimization test; piecewise deterministic Markov process; production control; production/storage system; queueing theory; renewal theory; stochastic control; Algorithm design and analysis; Control systems; Costs; Equations; Investments; Jacobian matrices; Markov processes; Optimal control; Performance evaluation; Production systems; Queueing analysis; Stochastic processes; Stochastic systems; Testing;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261348
