What is it about?

This paper presents a new exact method to SRFLP based on a new class of variables and an extended branch and bound method (B&B). First, the SRFLP is formulated by new decision variables. To solve it, a new branching scheme for B&B algorithm is presented. Subsequently, we introduce a fuzzy robust single row facility layout problem (FRSRFLP) and solve it by a real expected value method and a fuzzy stochastic chance-constrained programming based on possibility and necessity measures together with an extended B&B method.

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Why is it important?

The facility layout problem is the optimal arrangement of facilities in the plant area. Based on layout configurations, there are several types of the facility layout problem. The single row facility layout problem (SRFLP) is one them in which facilities have to be placed along a line. Although there are exact approaches, based on the integer programming model for solving SRFLP, a huge number of variables and constraints should be used in this model. This paper presents a new exact method to SRFLP based on a new class of variables and an extended branch and bound method (B&B).

Perspectives

As this paper is an early step towards the study of developing a fuzzy random approach for the SRFLP, it is also necessarily restricted to simple assumptions like the clearance requirement between adjacent departments. For example, it may be that, in some circumstances, other factors might be considered. Further research is also needed to see whether the author’s approach is also a powerful method in more practical and large scale cases and to perform it as a case study. For future research, we can investigate the SRFLP with other uncertain variables such as random fuzzy variables and random rough variables and obtain new solving methods. We will also use the methods described to solve the FRSRFLP problem to other optimization problems with uncertainty such as water resource planning and energy management problems

Dr. javad nematian
University of Tabriz

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This page is a summary of: A robust single row facility layout problem with fuzzy random variables, The International Journal of Advanced Manufacturing Technology, February 2014, Springer Science + Business Media, DOI: 10.1007/s00170-013-5564-y.
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