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Regular Articles

Mixed integer formulations for a coupled lot-scheduling and vehicle routing problem in furniture settings

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Pages 563-596 | Received 14 Mar 2017, Accepted 10 Jan 2019, Published online: 15 Apr 2019
 

Abstract

We propose and analyze two mathematical programming models for a production, inventory, distribution and routing problem considering real and relevant features from the furniture industry, such as production sequence-dependent setup times, heterogeneous fleet of vehicles, routes extending over one or more periods of the production planning horizon, multiple time windows and customers’ deadlines, among others. These features are rarely jointly considered in the related literature, but commonly found in real-world applications. The models properly represent the problem in this industrial sector and can be used as a tool to support production and distribution planning in small companies. A large set of random and realistic instances is used to contrast the performance of the models in terms of both solution quality and computational effort. It is shown how much integrating production and distribution decisions in a single framework helps to reduce the total cost of the system, in comparison with a sequential approach that follows a common practice in this industry. This cost reduction comes at a higher computational effort, though.

Acknowledgements

The authors would like to thank an anonymous reviewer for his/her useful comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the São Paulo Research Foundation (FAPESP) under Grant numbers 2014/10565-8 and 2016/01860-1; the Brazilian National Council for Scientific and Technological Development (CNPq) under Grants numbers 140179/2014-3 and 309612/2018-7; and the Coordination for the Improvement of Higher Education Personnel (CAPES). This support is gratefully acknowledged.

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