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Study on an improved grey dynamic programming model

Shi H., Liu S., Fang Z., Du H.

Systems Science

2009

Vol. 35, no 1

75-79

The purpose of our study is to present an improved grey dynamic programming model. Considering the uncertainty of information, the conception of grey dynamic programming is proposed in this paper. It also studies the programming model when the profit values are interval numbers and figure out the optimal solution by defining the superiority, inferiority and equipollence position degree. A case study is stated in the end to prove the applicability of the model. Our approach consists in treating profit value as positive interval grey number and we get the optimal strategy solution by means of defining standard interval grey number. As a result, an improved grey dynamic programming model is put forward. The algorithms of interval grey numbers and grey algebraic system of interval grey number should be improved further. The model is useful to realize optimal control in the process of uncertain manufacture such as production plan, storage, source distribution, investment and sorting problems. An algorithm based on position degree for the grey dynamic programming model is put forward.