Optimization in Layout Design Problems by Designing a Complex Integer Linear Model
Subject Areas :Ahmad jafarnezhad chaghoshi 1 , iman Abbasi 2 , Mohamad Reza Mehregan 3
1 - Tehran University
2 - Tehran University
3 - Tehran University
Keywords: Layout design mathematical modeling Locating Optimization,
Abstract :
The purpose of the layout design is to find the most efficient arrangement of equipment, manpower in departments or units in order to maximize productivity in product production. Existing heuristic models do not consider the organizations need to locate units within certain departments, but in practice many organizations need to design a layout that limits the location of units in their respective departments. Particularly for organizations with an operational organizational structure, and often each of the units in each executive department should be located in their own office. The purpose of this article is that in an organization composed of several main departments and each department comprising several units, optimal placement is made in such a way that the limits of locating the units within the departments that are similar to the work process are met. Many layout design problems are not suited to solve mathematical problems because some of the facilities need to be put together. In this paper, constraints are added to design the facility layout in specific departments and a mathematical model is proposed for optimization. The benefits of introducing departmental constraints are: Compared to existing models, it provides more pragmatic logic for layout and facility design, and can help improve computational efficiency by reducing overlap constraints across facilities.
Apple,J.M., and M.p.Deisenroth. (1972). A Computerized Plant Layout Analysis and Evaluation Technique_Planet. Proceedings of AIIE Annual conference.#
Li, H.-L., & Hsieh, M.-C. (1998). Solving Facility-Layout Optimization Problems with Clustering Constraints. Environment and Planning B: Planning and Design, 25(2), 299–308. #
H. A. Eiselt, Vladimir Marianov (eds.). (2011). Foundations of Location Analysis Springer, Page 335.#
Francis, R. L., and J. A. White. (1992). Facility Layout and Location: An Analytical Approach. Englewood Cliffs, NJ: Prentice Hall.#
Heragu, S. (1991). Efficient models for the facility layout problem. European Journal of Operational Research 53. 1-13.#
Dileep R. Sule. (2008). MANUFACTURING FACILITIES; Location, Planning, and Design. CRC Press is an imprint of the Taylor & Francis Group, Page 293.#
Koopmans T C, Beckman M, 1957, "Assignment problems and the location of economic activities" Econometrica 25 53 - 76.#
Bazaraa M S, Sherali M D, 1980, "Benders' partitioning scheme applied to a new formulation of the quadratic assignment problem" Naval Research Logistics Quarterly 27(1) 29-41#
Burkard R E, 1984 Discrete Location Theory (Academic Press, New York). #
Camp D J, Carter M W, Vannelli A, 1991, "A nonlinear optimization approach for solving facility layout problems" European #Journal of Operational Research 57 174-189
Frieze A M, Yadegar J, 1983, "On the quadratic assignment problem" Discrete Applied Mathematics 5 89-98.#
Li H L, 1994, "A global approach for nonlinear mixed discrete programming in design optimization" Engineering #Optimization 22 109 -122.
Love R F, Morris J G, Wesolowsky G 0,1988 Facilities Location: Models and Methods (North- Holland, New York).#
Seppanen J J, Moore J M, 1970, "Facilities planning in graph theory" Management Science 17
242-253.#
Foulds L R, Gibbons P B, Giffin J W, 1985, "Facilities layout adjacency determination: an experimental comparison of three graph theoretic heuristics" Operations Research 331091 -1106#
Heragu, S. (2018). Facilities Design. Boston, MA: CRC Press Publishing Company, Page 385-386.#
Meyers, F. E. (2000). Manufacturing Facilities Design and Material Handling. Upper Saddle River, NJ: Prentice Hall.#
R Murray-Smith, T. (1997). Johansen. Multiple Model Approaches To Nonlinear Modelling And Control. Taylor & Francis #Ltd, Group, Page 321.
Namhauser G L, Rinnooy Kan A H G, Todd M J, 1989 Optimization (North-Holland, New York)#
