Computation of a multi-objective production planning model with probabilistic constraints

Abstract

In this paper, a multi-objective production planning model has been presented for a captive plant. The model includes multi-products, multi-plants, and multi-objective with some probabilistic constraints. The probabilistic constraints have been transformed into deterministic constraints assuming the parameters as independent normal random variables. The deterministic problem has been computed with two different methods, namely weighting method and fuzzy programming method. Finally, the integral solution obtained by these two methods have been compared.

Keywords:

• captive plants
• production planning
• probabilistic programming
• multi-objective model
• non-linear programming
• weighting method
• fuzzy programming method and integral solution

CCS Category :

• F.2.2
• G.3
• I.6.8

Acknowledgements

Both the authors of the paper are grateful to the referees for their valuable comments to revise the paper. Authors are also grateful to Professor D. Acharya, Director, Indian Institute of Technology, Kharagpur, India and Professor A.K. P.C. Swain, Department of statistics, Utkal University, Bhubaneswar, India for suggesting the topic of research at the very beginning.