Building a Multi-Objective Model for Multi-Product Multi-Period Production Planning with Controllable Processing Times: A Real Case Problem

Journal of Optimization in Industrial Engineering

مقاله 1، Volume 2، Issue 4، آذر 2009، صفحه 1-11   

نویسندگان

Mir Bahadorgholi Aryanezhad¹؛ Mehdi Karimi-Nasab^{* 1}؛ Seyed Mohammad Taghi Fatemi Ghomi²

¹Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

²Department of Industrial Engineering, Amirkabir University of Technology, Tehran, Iran

چکیده

Model building is a fragile and complex process especially in the context of real cases. Each real case problem has its own characteristics with new concepts and conditions. A correct model should have some essential characteristics such as: being compatible with real conditions, being of sufficient accuracy, being logically traceable and etc. This paper discusses how to build an efficient model for a real case production planning problem. This process is reinforced by providing the proofs confirming the special characteristics of the final model such as proving its NP-Completeness. Also, the extremes of both objective functions – production smoothing versus cost minimizing – are calculated analytically. Finally, the case study and its solution methods are discussed briefly.

کلیدواژه‌ها

Multi-objective؛ Single machine؛ production planning؛ Multi-product؛ Multi-period؛ Controllable processing time؛ Pareto-optimal solutions