Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory

Mehmet Miman

Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory

Abstract

One of the main problems of the firms is the inefficiency of the production; hence, one of the primary objectives of them is to improve the production by the increased utilization of the scarce recourses the most economically in accordance with the goals of the firms. Therefore, a variety of operational research tools have been evolved in the literature. Among those techniques, linear programming is of great importance with its power of tractability as well as the sensitivity analysis it enables the planner to investigate the robustness of the solution it generates. At present, firms have been lost their freedoms of changing the prices to a large extent because of the increasing competition, hence, they choose the way of minimizing the costs to be able to improve their profitability. As a result, the importance of the linear programming which is the effective production planning method has been growing day by day. This study models and demonstrates the benefits of the mixed integer linear programming in aggregate production planning for a lubricant factory.

Keywords

Aggregate production planning; mixed integer linear programming

References

Gündoğar, N., Üretim Planlamasında Doğrusal Programlama ve Demir Çelik Endüstrisinde Bir Uygulama, Ankara Üniversitesi Yayınları, Ankara, 1981.
Bowles, S., "The production Process in a Competitive Economy: Walrasian, Neo- Hobbesian, and Marxian Models", The American Economic Review, Vol. 75, No. 1, 16-36, 1985.
Acar, N., Üretim Planalaması Yöntem ve Bulguları (10. Baskı), MPM Yayınları, Ankara, 1989.
Kobu, B., Üretim Yönetimi (10. Baskı), İstanbul Üniversitesi İşletme Fakültesi İktisadi ve İdari Bilimler Yayınları, İstanbul, 1999.
Aslan, D., Üretim Planalama (4. Baskı), Dokuz Eylül Üniversitesi Mühendislik Fakültesi, Yayınları, İzmir, 2002.
Pochet, Y. and Wolsey, L. A., Production Planning by Mixed Integer Programming, Springer, New York, US, 2006.
Rad, M. F. and Shirouyehzad, H., "Proposing an Aggreagte Production Planning Model by Goal programming Approach, a Case Study", Journal of Data Envelopment Analysis and Decision Sciences, 1-13, 2014.
Wang, R. C. and Liang, T. F., "Applying possibilistic linear programming to aggregate production planning", International Journal of Production Economics, Vol. 98, No. 3, 328-341, 2005.

Pradenas, L., Alvarez, C. and Ferland, J. A., "A Solution to the aggregate production planning problem in a multi-plant, multi-period and multi-product environment", Acta Mathematica Vietnama, Vol. 34, No. 1, 11-17, 2009.
Shi, Y. and Haase, C., "Optimal trade-offs of aggregate production planning with multi-objective and multi-capacity-demand levels", International Journal of Operations and Quantitative Management, Vol. 2, No. 2, 127-143, 1996.
Jain, A. and Palekar, U. S., "Aggregate production planning for a continuous reconfigurable manufacturing process", Computers & Operations Research, Vol. 32, No. 5, 1213-1236, 2005.
Baykasoğlu, A., "MOAPPS 1.0: Aggregate production planning using the multiple objective tabu search", International Journal of Production Research, Vol. 39, No. 16, 3685-3702, 2001..
Wang, R. and Fang, H., "Aggregate production planning with multiple objectives in a fuzzy environment", European Journal of Operational Research, Vol. 133, No. 3, 521-536, 2001.
Saad, G., "An overview of production planning model: Structure classification and empirical assessment", International Journal of Production Research, Vol. 20, No. 1, 105-114, 1982.
Charnes, A. and Cooper, W. W. Management Models and Industrial Applications of Linear Programming, Wiley, New York, US, 1961..
Holt, C. C., Modigliani, F. and Simon, H. A., "Linear decision rule for production and employment scheduling", Management Science, Vol. 2. No. 1, 1-30, 1955.
Bowman, E. H., "Production scheduling by the transportation method of linear programming" Operations Research, Vol. 4, No. 1, 100-103, 1956.
Bowman, E. H., "Consistency and optimality in managerial decision making", Management Science, Vol. 9, No.2, 310-321, 1963.
Taubert, W. H., "A search decision rule for the aggregate scheduling problem", Management Science, Vol. 14, No. 6, 343-359, 1968.
Jones, C. H., "Parametric production planning", Management Science, Vol. 13, No. 11, 843-866, 1967.
Wang, Dantzig, G. B. and Thapa, M. N., Linear Programming, Springer, California, US, 1997.
Hillier, F. S. and Lieverman, G. J., Introduction to Operations Research (3rd ed.), Tata Mc Graw Hill, New York, US, 2005.
Jolayemi, J. K. and Olorunniwo, F. O., "A deterministic model for planning production quantities in a multi-plant, multi-warehouse environment with extensible capacities", International Journal of Production Economics, Vol. 87, No. 2, 99-113, 2004.
Silva, C., Figueira, J., Lisboa, J. and Barman, S., "An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming", Omega: The International Journal of Management Science, Vol. 34, No. 2, 167-177, 2006.
Gnoni, M., Lavagnilio, R., Mossa, G., Mummolo, G. and Leva, A. D., "Production planning of a multi-site manufacturing system by hybrid modeling: A case study from the automotive industry", International Journal of Production Economics, Vol. 85, No. 2, 251-262, 2003.
Jensen, H. and Maturana, A., "A possibilistic decision support system for imprecise mathematical programming models", International Journal of Production Economics, Vol. 77, No. 2, 145-158, 2002.
Uluçam , V., "Aggregate production planning model based on mixed integer linear programming", Öneri Dergisi, Vol. 9, No. 34, 195-201, 2010.
Khan, İ. U., Bajuri, N. H. and Jadoon, I. A., "Optimal production planning for ici Pakistan using linear programing and sensitivity analysis", International Journal of Business and Social Science, Vol. 2, No. 23, 206-212, 2011.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Mehmet Miman

Publication Date

December 31, 2017

Submission Date

October 25, 2017

Acceptance Date

December 5, 2017

Published in Issue

Year 2017 Volume: 2 Number: 3

IZ

https://izlik.org/JA58CZ49HJ

Cite

RIS / Bibtex

APA

Miman, M. (2017). Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory. Harran Üniversitesi Mühendislik Dergisi, 2(3), 1-9. https://izlik.org/JA58CZ49HJ

AMA

1.Miman M. Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory. Harran Üniversitesi Mühendislik Dergisi. 2017;2(3):1-9. https://izlik.org/JA58CZ49HJ

Chicago

Miman, Mehmet. 2017. “Aggregate Production Planning Model Based on Mixed Integer Linear Programming for a Lubricant Factory”. Harran Üniversitesi Mühendislik Dergisi 2 (3): 1-9. https://izlik.org/JA58CZ49HJ.

EndNote

Miman M (December 1, 2017) Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory. Harran Üniversitesi Mühendislik Dergisi 2 3 1–9.

IEEE

[1]M. Miman, “Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory”, Harran Üniversitesi Mühendislik Dergisi, vol. 2, no. 3, pp. 1–9, Dec. 2017, [Online]. Available: https://izlik.org/JA58CZ49HJ

ISNAD

Miman, Mehmet. “Aggregate Production Planning Model Based on Mixed Integer Linear Programming for a Lubricant Factory”. Harran Üniversitesi Mühendislik Dergisi 2/3 (December 1, 2017): 1-9. https://izlik.org/JA58CZ49HJ.

JAMA

1.Miman M. Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory. Harran Üniversitesi Mühendislik Dergisi. 2017;2:1–9.

MLA

Miman, Mehmet. “Aggregate Production Planning Model Based on Mixed Integer Linear Programming for a Lubricant Factory”. Harran Üniversitesi Mühendislik Dergisi, vol. 2, no. 3, Dec. 2017, pp. 1-9, https://izlik.org/JA58CZ49HJ.

Vancouver

1.Mehmet Miman. Aggregate Production Planning Model based on Mixed Integer Linear Programming for a Lubricant Factory. Harran Üniversitesi Mühendislik Dergisi [Internet]. 2017 Dec. 1;2(3):1-9. Available from: https://izlik.org/JA58CZ49HJ