CEJOR https://doi.org/10.1007/s10100-018-0553-8 ORIGINAL PAPER Mixed integer linear programming models for Flow Shop Scheduling with a demand plan of job types 1 2 Joaquín Bautista-Valhondo · Rocío Alfaro-Pozo © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract This paper presents two mixed integer linear programming (MILP) mod- els that extend two basic Flow Shop Scheduling problems: Fm/prmu/C and max Fm/block/C . This extension incorporates the concept of an overall demand plan max for types of jobs or products. After using an example to illustrate the new problems under study, we evaluated the new models and analyzed their behaviors when applied to instances found in the literature and industrial instances of a case study from Nis- san’s plant in Barcelona. CPLEX solver was used as a solution tool and obtained acceptable results, allowing us to conclude that MILP can be used as a method for solving Flow Shop Scheduling problems with an overall demand plan. Keywords Flow Shop Scheduling problem · Mixed model sequencing problem · Mixed model assembly lines · Overall demand plan · Mixed integer linear programming 1 Preliminaries The Flow Shop Scheduling problem (FSP) is a sequencing problem that has received considerable attention from professionals and researchers
Central European Journal of Operations Research – Springer Journals
Published: May 29, 2018
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