PERFORMANCE EVALUATION OF PARITY STRATEGY FOR SUGAR BEET PROCESSING
Abstract
The article considers a mathematical model for control the processing of a perishable product ‒ sugar beet.
The issue of mixing several batches during processing is being resolved to achieve the highest yield of the final
product. The article shows that the mixing strategy in any proportions will under no circumstances increase the
optimal target function obtained without mixing different batches. However, theoretically, even a mixed strategy
can claim to be quasi-optimal. The article offers estimates of the loss of the objective function for the parity
strategy, which is obtained if beets from all batches are fed to the input each time in equal parts
References
2. Balandin D.V., Vildanov V.K., Kuzenkov O.A., Egamov A.I. «Optimal schedule of sugar beet processing in conditions of uncertainty». In Actual problems of applied mathematics, computer science and mechanics: Proceedings of the International Scientific Conference, Voronezh. 2022. P. 328‒334. (In Russ.)
3. Balandin D.V., Vildanov V.K., Kuzenkov O.A., Zakharova I.V., Egamov A.I.. «Strategy of processing sugar beet batches with close parameters of its withering», [Digests of the second All-Russian scientific and practical seminar "Mathematical and computer modeling and business analysis in the conditions of digitalization of the economy" Proceedings. Nizhny Novgorod. UNN, N.Novgorod, 2022. P.10‒18. (In Russ.)
4. Sapronov A.R. Technology of sugar production. 2nd ed., corrected and additional. 1999. M.: Kolos. (In Russ.)
5. Jiao Z., Higgins A.J., Prestwidge D.B. An integrated statistical and optimization approach to increasing sugar production within a mill region. // Computers and Electronics in Agriculture. 2005. 48. P. 170-181.
6. Ionitsa Y.S., «Change in sugar yield during storage of sugar beet of various selection». 2007. Sugar. №1. PP. 31‒33. (In Russ.) Kulneva N.G., Putilina L.N., Sveshnikov I.Y.,
7. Kazakevich S.Y. «Storage and processing of sugar beet of low technological quality». In the proceedings of scientific articles and reports of the II International
Scientific and Practical Conference Innovative solutions in the production of food from vegetable raw materials. Voronezh, October 26-27, 2016. P. 380‒384. (In Russ.)
8. Kulneva N.G., Putilina L.N. Selection of optimal parameters of sugar beet processing before storage. Proceedings of the XIX International scientific conference «The priorities of the world science: experiments and scientific debate». North Charleston, SC, USA 28-29 November, 2018. P. 8‒11.
9. Kukhar V.N., Chernyavsky A.P., Chernyavskaya L.I. and Mokanyuk Yu.A., Methods for assessing the technological qualities of sugar beet using indicators of the content of potassium, sodium and α-amine nitrogen determined in beet and its processed products // 2019. Sugar. 1. P. 18‒36. [In Russian]
10. Brusenkov A.V., Strukov I.A. and Myakotin V.O. «Factors affecting the storage of sugar beet». In the proceedings of the conference 2nd All-Russian (national) Scientific and Practical Conference "Modern Science: theory, methodology, practice". Tambov, May 28-29, 2020. P. 234‒237. (In Russ.)
11. Junqueira R., Morabito R. Modeling and solving a sugarcane harvest front scheduling problem // International Journal of Production Economics. 2019. 231 (1). P.150-160.
12. Emelichev V.A., Kovalev M.M., Kravtsov M.K. Polyhedra, Graphs, Optimization. M.: Nauka, 1981. 344c (In Russ.)
13. Bunday B., Basic linear programming. 1984. London.
14. Sigal I.H., Ivanova A.P. Introduction to applied discrete programming: models and computational algorithms. Textbook. Moscow. 2002. (In Russ.)
15. Rainer B., Mauro D., Silvano M. «Assignment problems». Printed in the USA. Philadelphia: Society for Industrial and Applied Mathematics. 2009.
16. Malyugina O.A., Chernyshova G.D. The use of the assignment problem in solving the problem of staff formation // Bulletin of the Voronezh State University
(Faculty of Adj. mathematics, computer science and mechanics). 2010. 8. P. 141‒148. (In Russ.)
17. Lelyakova L.V., Kharitonova A.G., Chernyshova G.D. Applied assignment problems (models, solution algorithms) // Bulletin of the Voronezh State University. 2017. 2. P. 22‒27. (In Russ.)
18. Kuhn H. The Hungarian Method for the assignment problem // Naval Research Logistics Quarterly. 1955. 2. P. 83‒97
19. Hopcroft J., Karp R. An n 5/2 algorithm for maximum matchings in bipartite graphs // SIAM J. on Computing. 1973. 2 (4). P. 225‒231.
20. Radzivilovsky L.V. Generalization of permutation inequality and Mongolian inequality // Mathematical Enlightenment. 2006. 10. (In Russ.)
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