An inventory model of three-layer supply chain of wood and furniture industry in the Caribbean region of Colombia

ABSTRACT

This article deals with a mathematical model for multi-item inventory system under a collaborative scheme in a three-level supply chain consisting of multiple raw material suppliers, multiple manufacturers and multiple retailers in which different cycle lengths and stochastic demand and production rates are considered for the purpose of evaluating the optimal solution. The model is also validated in the supply chain of wood and furniture industry in the Caribbean region of Colombia. In the process, suppliers of raw wood (sawmills), manufacturers of home furnishings and major retailers are participated. Results include a comparison between three-level and two-level supply chains using the collaborative scheme as well as for the non-collaborative scheme among the participating members of the chain.

KEYWORDS:

• Inventory
• collaboration
• supply chain
• wood and furniture industry

Acknowledgments

The authors would like to express their gratitude to the reviewers for their helpful suggestions and corrections to enhance the clarity of the present article.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Katherinne Salas Navarro

Katherinne Salas Navarro received her industrial engineering degree from Universidad de la Costa, Barranquilla Colombia; M.Sc. degree in Industrial Engineering from Universidad Tecnológica de Bolivar, Cartagena de Indias, Colombia. Currently, she is doing Ph.D. at Universidad Pontificia Bolivariana, Medellín, Colombia, and she is an associate professor in Universidad de la Costa, Barranquilla, Colombia. Her research interest covers the areas of inventory management and supply chain management. She is a member of Research Group Productivity and Competitivity (PRODUCOM) at Universidad de la Costa. She has published few papers in Applied Mathematics and Computation, Revista Ingenierías Universidad de Medellin, Revista Prospectiva, Revista Entre Ciencia e Ingeniería and Revista Scientia et Technica.

Jaime Acevedo Chedid

Jaime Acevedo Chedid received his industrial engineering degree from Universidad Tecnológica de Bolívar, Cartagena de Indias, Colombia; M.Sc. degree in Industrial Engineering from Universidad de los Andes, Bogotá, Colombia. Recently, he is doing Ph.D. at Universidad del Norte, Barranquilla, Colombia, and he is an associate professor in Universidad Tecnológica de Bolivar, Cartagena de Indias, Colombia. His research interest covers the areas of inventory management, supply chain management production schedule and production planning. He is a member of Research Group Productivity and Quality (GIPC) and Operations Research Community in Latin America (CLAIO). He has published papers in Applied Mathematics and Computation, Revista Ingenierías Universidad De Medellín Revista Educación En Ingeniería, Proceedings of the 17th international Conference on Flexible Automation and Intelligent Manufacturing, Proceedings of the 7th Latin American and Caribbean Conference for Engineering and Technology and Proceedings of the 12th Latin American and Caribbean Conference for Engineering and Technology.

Nohora Mercado Caruso

Nohora Mercado Caruso received her M.Sc. degree in systems engineering from Universidad Tecnológica de Bolivar, Cartagena de Indias, Colombia. Currently, she is studying and doing Ph.D. at Universidad Politécnica de Valencia, Valencia, España, and she is an associate professor in Universidad de la Costa, Barranquilla, Colombia. Her research interest covers the areas of supply chain management and Eco-innovation in clusters. She is a member of Research Group Productivity and Competitivity (PRODUCOM) at Universidad de la Costa.

Shib Sankar Sana

Shib Sankar Sana is currently an associate professor in the Department of Mathematics at Bhangar Mahavidyalaya under the University of Calcutta. He served at the Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, as an associate lecturer during 1999–2001. His main area of research is the modeling of production planning and inventory control. He has published over 120 papers in European Journal of Operational Research, International Journal of Production Economics, Computers and Mathematics with Application, Mathematical and Computer Modelling, Applied Mathematics and Computation, American Journal of Mathematical and Management Sciences, International Journal of Systems Science, Far East Journal of Applied Mathematics, Nonlinear Phenomena in Complex Systems, Advanced Modeling and Optimization, Vietnam Journal of Mathematics, Yugoslav Journal of Operational Research, International Journal of Operational Research, International Journal of Services Operations Management, International Journal of Modeling, Identification and Control, International Journal of Innovative Computing and Application, International Journal of Procurement Management, International Journal of Mathematics and Operations Research, IMA Journal of Management Mathematics, International Journal of Information and Decision Science, International Journal of Management Science and Engineering Management, Applied Mathematical Modelling, Decision Support Systems, Service Sciences, International Transaction on Operational Research, Journal of Industrial Engineering, International Journal of Applied and Mathematical Computation, Annals of Operational Research, Journal of Manufacturing Systems, CIRP Journal of Manufacturing Science and Technology, Economic Modelling, Applied Soft Computing, Computers & Industrial Engineering, Expert Systems with Application, International Journal of Production Research, Cogent Business & Management, etc. He is a member of editorial board of American Journal of Industrial and Business Management, American Journal of Computational and Applied Mathematics, Universal Journal of Applied Mathematics, Journal of Modern Management and Foresight, Applied Science Segments, International Journal of Scientific Management and Development and Operations Research and Applications: An International Journal.