Parallel machine scheduling with minimum number of tardy jobs: Approximation and exponential algorithms

2021 ◽  
Vol 397 ◽  
pp. 125888
Author(s):  
Federico Della Croce ◽  
Vincent T’kindt ◽  
Olivier Ploton
Author(s):  
M. B. Fakhrzad ◽  
Saber Shamsadini ◽  
Abbasali Jafari-Nodoushan

In this paper, parallel machine scheduling problem is considered under due date assignment, earliness, weighted number of tardy jobs, facilities costs and shipping products by limited vehicle capacity. The orders of the customer are presented with a due date. Each order is scheduled and assigned to one of the machines according to due date, delay weight and penalty of increasing of due date and shipped in the batch. The problem is known as NP-hardness, therefore a Genetic Algorithm (GA) is proposed to solve the problem. The results are also compared with the CPLEX solver in the GAMS. Finally, sensitivity analysis for the problem parameters is performed in relation to the objective function. The results showed a direct relationship between objective function with the weighted tardiness and processing time, also an inverse relationship with the number of machines and vehicle capacity.


2017 ◽  
Vol 58 ◽  
pp. 306
Author(s):  
Jianming Dong ◽  
Xueshi Wang ◽  
Liliang Wang ◽  
Jueliang Hu

2021 ◽  
Vol 132 ◽  
pp. 105315
Author(s):  
Nadia Brauner ◽  
Mikhail Y. Kovalyov ◽  
Alain Quilliot ◽  
Hélène Toussaint

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