METHODICAL BASIC OF EFFICIENCY INCREASING OF MATHEMATICAL TOOL IN PROBLEMS SOLUTION FOR INDUSTRIAL TRANSPORTATION LOGISTIC
DOI:
https://doi.org/10.20998/2079-0023.2019.02.03Keywords:
industrial and transport logistics, directed simulation, algorithmic function, system optimizationAbstract
The methodological foundations of the efficiency increasing mathematical tools for solving the production and transport logistics problems are developed. The shown result, which obtained on the base of mathematical programming methods, can be used as an integral part of a simulated real system. For this purpose, a methodology for directional simulation is developed. The practical implementation of this methodology consists on using the descent direction of the analytic functions as the descent direction of the algorithmic function. For a numerical assessment of the consequences of the mismatch of the corresponding descent directions and the compensation of errors that arise in this process while determination the optimal value of the algorithmic function, a multistep procedure mechanism is proposed. The computational efficiency of the methodology of directional simulation depends on its mathematical software. It is determined that the structure of each individual model should provide the possibility of its connection to the complex of models and have the necessary free parameters for this. The diverse nature of the models often serves as the main difficulty in the problem solution. Such a barrier can be overcome if the work is based on some valid unified model variants. As a result, the models in the process of their practical implementation allow maintaining uniformity in the forms of representation of the inicial data, in the algorithms and programs used to generate the calculated information. The specified requirements are satisfied by mathematical models of transport problems with intermediate nodes. Such models allow the use of parametric decomposition schemes and lead to the problem of nonsmooth optimization. The made statement describes the methodology of guided simulation modeling, which constructively develops the idea of system optimization by moving from the problem of varying the structure of constraints to radical structural changes in the models.References
Karakikes I, Nathanail E. Simulation Techniques for Evaluating Smart Logistics Solutions for Sustainable Urban Distribution. RelStat’2016: 16th Conferenceon Reliability and Statisticsin Transportationand Communication, 19-22 oct. 2016. Riga: University of Thessaly Publ., 2016, pp. 569–578.
Persson F., Erlandsson D., Larsson A., Johansson M. Solving location problems with simulation modelling - a case from the construction industry. Proceedings of the 2013 Winter Simulation Conference. Linköping: Linköping University Publ., 2013, pp. 336–337.
Quddoos A., Javaid S., Khalid M.M. A New Method for Finding an Optimal Solution for Transportation Problems. International Journal on Computer Science and Engineering (IJCSE). 2012, vol. 4, no. 7, pp. 1271–1274.
Karkula M. Selected aspects of simulation modelling of internal transport processes performed at logistics facilities. AGH University of Science and Technology. 2014, vol. 30, no. 2. pp. 43–56.
Sainathuni B., Parikh P.J., Zhang X, Kong N. The warehouse-inventory-transportation problem for supply chains. European Journal of Operational Research. 20 feb. 2014, pp. 690–700.
Osorio C., Selvam K.K. Solving large-scale urban transportation problems by combining the use of multiple traffic simulation models. Transport Simulation-ISTS’14: 4th International Symposium, 1-4 jun. 2014. Corsica, 2014, pp. 272–284.
Bander A.S., Morovati V., Basirzadeh H. A Super Non-dominated Point for Multi-objective Transportation Problem. Applications and Applied Mathematics: An International Journal (AAM). 2015, vol. 10, no. 1, pp. 544 – 551.
Kundu P. Some Transportation Problems Under Uncertain Environments. Springer-Verlag Berlin Heidelberg. 2015, pp. 225–365.
Burduk A., Musial K. Optimization of Chosen Transport Task by Using Generic Algorithms. Computer Information Systems and Industrial Management (CISIM): 15th IFIP International Conference. Wrocław: Wrocław University of Technology, 2016, pp. 197–205.
Ahmed M.M., Khan A.R., Uddin M.S., Ahmed F. A New Approach to Solve TransportationProblems. Open Journal of Optimization. 2016, vol. 5, pp. 22-30.
Anukokilaa P., Radhakrishnan B., Rajeshwaria M. Multi-objective Transportation Problem by using Goal Programming Approach. International Journal of Pure and Applied Mathematics. 2017, vol. 117, no. 11, pp. 393-403.
Kaur L., Rakshit M., Singh S. A New Approach to Solve Multi-objective Transportation Problem. Applications and Applied Mathematics: An International Journal (AAM). 2018, vol. 13, no. 1, pp. 150–159.
Gambarov L. Parametricheskaia dekompozitciia mnogoetapnykh transportnykh modelei [Parametric decomposition of the multi-phase transport models]. Vіsnik ekonomіki і promislovostі [The bulletin of transport and industry economics]. 2014, issue 45, pp. 239–244.
Gambarov L. Sistemnyi podkhod v vychislitelnykh protcedurakh resheniia mnogoetapnykh transportnykh zadach logistiki [System approach in computational procedures of solving multistatal transport logistic problems]. Aktualnye nauchnye issledovaniia v sovremennom mire [Actual scientific research in the modern world]. 2018, issue. 7(39), part. 1, pp. 100–110.
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