Application of computational graph to scheduling problems under uncertainty

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Abstract

This paper considers the problem of deploying a computational graph under uncertainty for an example production scheduling problem with time intervals. An estimated level of demand for the product is given for each planning period, and the level of production during time interval t can be used to cover the demand, which may differ for different time periods. The approach proposed in the work allows developing a production program that minimizes the total cost of production, and satisfies demand fully and on time.

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About the authors

M. V. Knyazeva

Southern Federal University, Taganrog

Author for correspondence.
Email: mknyazeva@sfedu.ru

Cand. of Tech. Sc., Assistant Professor

Russian Federation, Taganrog

A. V. Bozhenyuk

Southern Federal University, Taganrog

Email: avbozhenyuk@sfedu.ru

Dr. of Tech. Sc., Professor

Russian Federation, Taganrog

I. N. Rozenberg

Russian University of Transport (MIIT)

Email: avb@itt.net.ru

Dr. of Tech. Sc., Professor

Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Network representing production flows and inventory movement

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3. Fig. 2. Graphical representation of the production and inventory states of the system

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