OPTIMIZATION OF PRODUCTION PROBLEMS USING MATHEMATICAL PROGRAMMING - Polish Journal of Management Studies

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OPTIMIZATION OF PRODUCTION PROBLEMS USING MATHEMATICAL PROGRAMMING

Abstracts > Vol 4

OPTIMIZATION OF PRODUCTION PROBLEMS USING MATHEMATICAL PROGRAMMING

Romuald Szopa, Bogdan Marczyk

Abstract:

In production activity, starting manufacturing of a new product involves taking a particular risk. Therefore, the need arises for investigating the rational basis for starting such projects. This process should begin  from the verification of the opportunities of reaching the expected effects of the new production. One of the methods of solving the complex problems is mathematical programming, whose utility was demonstrated with an example of a manufacturing enterprise.

Keywords: mathematical model, linear programming, production optimization

Introduction

In management of production processes, the essential importance, similarly to any problem-generating area, is from decision-making process. There are a variety of factors which contribute  to the development and implementation of optimization decision models. The essence of the decision is to make right choices due to the required solution or solutions. Depending on the number and the quality of the factors which influence on possible decision  variants, optimization of production is distinguished by one- or multi-criteria methods of decision-making.[1] Multi-criteria decision problem concerns the performance of the following conditions:[2]
objectives are defined through the determination of the common set of acceptable solutionsobjective has a priority of achievement, which affects the degree of achievement of other  objectivesparticular problem has a limited number of objectives planned to be achievedof a decision variant is determined by a group of criteria defined for each objective.

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Summary

Choice of trade-off solutions concerns a variety of domains of activities in enterprises, including the area of production management. However, the set objectives necessitate the  definition of a number of criteria of selection of an optimal decision variant, which might be contradictory to each other (not all the criteria can reach the demanded value within the set of acceptable solutions).
Similarly to the above presented analysis, the difficulty in finding a trade-off solution can arise, because the set objectives concerning the decision on starting a production of bearings are not consistent with each other. Even in the case of a problem  situation of a deterministic character, obtaining an optimal solution is not always possible.


References

[1]   Ficon K., Logistyka ekonomiczna. Procesy logistyczne, Bel Studio, Warsaw 2008.
[2]   Guigues V., Robust production management, www.optimization-online.org/DB_FILE/2011/02/2935.pdf.
[3]   Jacyna M., Modelowanie i ocena systemow transportowych, Oficyna Wydaw. Politechnika Warszawska, Warsaw 2009.
[4]   Kot S., Slusarczyk B.: Process Simulation in Supply Chain Using Logware Software, Annales Universitas. Apulensis Ser.Oeconomica Vol. 2 nr 11, 2009.
[5]   Sawicki P., Zarzadzanie systemami transportu drogowego. Programowanie liniowe, etacar.put.poznan.pl/piotr.sawicki/Dydaktyka/Zstd/.../Progr_liniowe.pdf.
[6]   Stephen C. Graves, Manufacturing Planning and Control, Massachusetts Institute of Technology, November 1999, web.mit.edu/sgraves/www/ProdPlanCh.pdf.
[7]   Tarapata Z., Optymalizacja decyzji inwestycyjnych, tarapata.strefa.pl/p.../optymalizacja_decyzji_inwestycyjnych_czI.pdf.
[8]   Ziemba P., Piwowarski M., Metody analizy wielokryterialnej we wspomaganiu porownywania produktow w Internecie, Metody Informatyki Stosowanej, Kwartalnik Komisji Informatyki Polskiej Akademii Nauk Oddzial w Gdansku nr 2/2008.

OPTYMALIZACJA ZAGADNIENIA PRODUKCYJNEGO Z WYKORZYSTANIEM PROGRAMOWANIA MATEMATYCZNEGO

Abstrakt:

W dzialalnosci produkcyjnej rozpoczecie produkcji nowego wyboru wiaze sie z podjeciem pewnego ryzyka, stad tez istnieje potrzeba uprzedniego zbadania racjonalnych podstaw przystapienia  do takiego przedsiewziecia.  Proces ten powinien rozpoczac sie od zbadania mozliwosci osiagniecia spodziewanych efektow nowej produkcji. Jednym ze sposobow rozwiazywania zlozonych problemow jest programowanie matematyczne, ktorego uzytecznosc przedstawiono  na przykladzie przedsiebiorstwa produkcyjnego.





 
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