A mathematical model for the design of distributed layout by considering production planning and system reconfiguration over multiple time periods

Subject Areas : Mathematical Optimization

Farhad Shafigh ¹ , Fantahun M. Defersha ² , Soha Eid Moussa ³

1 - School of Engineering, University of Guelph, 50 Stone Road East, Guelph, ON, N1G 2W1, Canada
2 - School of Engineering, University of Guelph, 50 Stone Road East, Guelph, ON, N1G 2W1, Canada
3 - School of Engineering, University of Guelph, 50 Stone Road East, Guelph, ON, N1G 2W1, Canada

Received: 2020-10-03 Accepted : 2020-10-03 Published : 2015-09-01

Keywords: linear programming, Distributed layout . Dynamic reconfiguration . Production planning . Mixed integer,

Abstract :

In this paper, we develop a new mathematical model that integrates layout configuration and production planning in the design of dynamic distributed layouts. The model incorporates a number of important manufacturing attributes such as demand fluctuation, system reconfiguration, lot splitting, work load balancing, alternative routings, machine capability and tooling requirements. In addition, the model allows several cost elements to be optimized in an integrated manner. These costs are associated with material handling, machine relocation, setup, inventory carrying, in-house production and subcontracting needs. Numerical examples of different sizes are presented to illustrate the nature of the developed model and shed light on several managerial insights.