scholarly journals Robust and Stable Flow Shop Scheduling Problem under Uncertain Processing Times and Machines’ Disruption

2021 ◽  
Vol 34 (4) ◽  

The present paper investigates n×3 specially structured flow shop scheduling model with processing of jobs on given machines in a string of disjoint job blocks and with probabilities associated to the processing times of jobs. The objective is to minimize utilization time of second and third machine and also minimize the total elapsed time for processing the jobs for n×3 specially structured flow shop scheduling problem. The algorithm developed in this paper is quite straightforward and easy to understand and also present an essential way out to the decision maker for attaining an optimal sequence of jobs. The algorithm developed in this paper is validated by a numerical illustration.


Author(s):  
Marcell S. Kalman ◽  
Omar G. Rojas ◽  
Elias Olivares-Benitez ◽  
Samuel Moisés Nucamendi-Guillén

A MILP and genetic algorithm optimization model for the sequencing of jobs in a medium-sized factory, dedicated to the manufacturing of home furniture, where different categories and types of articles are produced and whose routes and manufacturing processing times vary widely, are proposed. Different scenarios are considered for the objective function based on minimizing makespan and tardiness. The results of the optimization for an instance of 24 jobs on five machines, chosen as a representative instance of the order sizes that are handled by the company, show important reductions in the productive system's usage times, oscillating between 10% and 20% with respect to a random initial sequence in the production plan. Improvements were similar in both techniques, the main difference being the solution time of each one.


2019 ◽  
Vol 111 ◽  
pp. 325-345
Author(s):  
Santiago Sánchez-Herrera ◽  
Jairo R. Montoya-Torres ◽  
Elyn L. Solano-Charris

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