DOI: https://doi.org/10.15587/2312-8372.2015.47906

A compositional technique of task solution of trade stock that loses natural properties

Ольга В’ячеславівна Єгорова

Abstract


The mathematical models of the problem of task of trade stock that lose their natural properties, taking into account complex factors, are given in the article. Parametric identification of the given models is complex, non-trivial process that requires the use of a method that does not depend on the choice of starting point and does not require verification of additional restrictions on the characteristics of the objective function.

It is proposed a composite method of direct optimization adapted to the task solution of trade stock that loses natural properties, taking into account complex factors. The algorithm of its implementation in search space of possible solutions is investigated. The aspects of program implementation of the method are considered. The experimental verification of models is done. The experiments show that the best results are obtained within a reasonable time are obtained in the case of developed punitive function compared with adaptive and fuzzy punitive functions, due to their focus on simulation of fuzzy variables.

Keywords


optimization; simulation; stocks; limitation; punitive function

References


Chung, K. J., Liao, J. J. (2004). Lot-sizing decisions under trade credit depending on the ordering quantity. Computers & Operation Research, Vol. 31, № 6, 909–928. doi:10.1016/s0305-0548(03)00043-1

Sharma, A., Goel, R., Dua, N. K. (2012). Optimal policy for EOQ model with two level of trade credits in one replenishment cycle. American Journal of Operations Research, Vol. 2, № 1, 51–58. doi:10.4236/ajor.2012.21006

Shah, N. H., Raykundaliya, N. (2009). Optimal inventory policies for Weibull deterioration under trade credit in declining market. Indus Journal of Managment & Social Sciences, Vol. 3, № 2, 11–20.

Hou, K. L., Lin, L. C. (2009). A cash flow oriented EOQ model with deteriorating items under permissible delay in payments. Journal of Applied Sciences, Vol. 9, № 9, 1791–1794. doi:10.3923/jas.2009.1791.1794

Rajeswari, N., Vanjikkodi, T. (2012). An inventory model for items with two parameter Weibull distribution deterioration and backlogging. American Journal of Operations Research, Vol. 2, № 2, 247–252. doi:10.4236/ajor.2012.22029

Tripathy, C. K., Pradhan, L. M. (2012). An EOQ model for three parameter Weibull deterioration with permissible delay in payments and associated salvage value. International Journal of Industrial Engineering Computations, Vol. 3, № 2, 115–122. doi:10.5267/j.ijiec.2011.07.004

Hsu, J.-T., Hsu, L.-F. (2013). Two EPQ models with imperfect production processes, inspection errors, planned backorders, and sales returns. Computers & Industrial Engineering, Vol. 64, № 1, 389–402. doi:10.1016/j.cie.2012.10.005

Yegorova, O. (2014). Fuzzy expected value model with inspection errors and two level of trade credit in one replenishment cycle. Information Models and Analyses, Vol. 3, 1, 37–52.

Yegorova, O., Snytyuk, V. (2015). Multidimensional compositional overcoming uncertainty technology. In Proceedings of the International Conference Computational Intelligence (Results, Problems and Perspectives), May 12–15, 2015, Kyiv-Cherkasy. Cherkasy: editor July Chabanenko, 68–69.

Yegorova, O., Pasishnyy, I. (2014). Fuzzy constraint handling technique used with genetic algorithms to optimize order quantity. Eastern-European Journal of Enterprise Technologies, 5(4(71)), 63–67. doi:10.15587/1729-4061.2014.27915


GOST Style Citations


Chung, K. J. Lot-sizing decisions under trade credit depending on the ordering quantity [Text] / K. J. Chung, J. J. Liao // Computers & Operation Research. – 2004. – Vol. 31, № 6. – P. 909–928. doi:10.1016/s0305-0548(03)00043-1

Sharma, A. Optimal policy for EOQ model with two level of trade credits in one replenishment cycle [Text] / A. Sharma, R. Goel, N. K. Dua // American Journal of Operations Research. – 2012. – Vol. 2, № 1. – P. 51–58. doi:10.4236/ajor.2012.21006

Shah, N. H. Optimal inventory policies for Weibull deterioration under trade credit in declining market [Text] / N. H. Shah, N. Raykundaliya // Indus Journal of Managment & Social Sciences. – 2009. – Vol. 3, № 2. – P. 11–20.

Hou, K. L. A cash flow oriented EOQ model with deteriorating items under permissible delay in payments [Text] / K. L. Hou, L. C. Lin // Journal of Applied Sciences. – 2009. – Vol. 9, № 9. – Р. 1791–1794. doi:10.3923/jas.2009.1791.1794

Rajeswari, N. An inventory model for items with two parameter Weibull distribution deterioration and backlogging [Text] / N. Rajeswari, T. Vanjikkodi // American Journal of Operations Research. – 2012. – Vol. 2, № 2. – P. 247–252. doi:10.4236/ajor.2012.22029

Tripathy, C. K. An EOQ model for three parameter Weibull deterioration with permissible delay in payments and associated salvage value [Text] / C. K. Tripathy, L. M. Pradhan // International Journal of Industrial Engineering Computations. – 2012. – Vol. 3, № 2. – P. 115–122. doi:10.5267/j.ijiec.2011.07.004

Hsu, J.-T. Two EPQ models with imperfect production processes, inspection errors, planned backorders, and sales returns [Text] / J.-T. Hsu, L.-F. Hsu // Computers & Industrial Engineering. – 2013. – Vol. 64, № 1. – P. 389–402. doi:10.1016/j.cie.2012.10.005

Yegorova, O. Fuzzy expected value model with inspection errors and two level of trade credit in one replenishment cycle [Text] / O. Yegorova // Information Models and Analyses. – 2014. – Vol. 3, № 1. – P. 37–52.

Єгорова, О. В. Багатовимірна технологія спрямованої оптимізації [Текст]: праці міжнар. наук.-практ. конф., 12–15 травня 2015 р., Київ–Черкаси / О. В. Єгорова, В. Є. Снитюк // Обчислювальний інтелект (результати, проблеми, перспективи). – Черкаси: видавець Ю. Чабаненко, 2015. – С. 68–69.

Єгорова, О. В. Оптимізація замовлення товарів на базі генетичного алгоритму з використанням нечітких штрафних функцій [Текст] / О. В. Єгорова, І. О. Пасішний // Східно-Європейський журнал передових технологій. – 2014. – № 5/4 (71). – С. 63–67. doi:10.15587/1729-4061.2014.27915







Copyright (c) 2016 Ольга В’ячеславівна Єгорова

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ISSN (print) 2664-9969, ISSN (on-line) 2706-5448