Single machine batch scheduling with non-increasing time slot costs

2021 ◽  
Author(s):  
Junfeng Ren
Keyword(s):  
Single Machine ◽  
Time Slot ◽  
Batch Scheduling

Single machine batch scheduling with release times and delivery costs

2011 ◽  
Vol 16 (1) ◽  
pp. 69-79 ◽  
Author(s):  
Esaignani Selvarajah ◽  
George Steiner ◽  
Rui Zhang
Keyword(s):  
Single Machine ◽  
Batch Scheduling ◽  
Release Times ◽  
Delivery Costs

Online Single Machine Batch Scheduling

2006 ◽  
pp. 424-435
Author(s):  
Beat Gfeller ◽  
Leon Peeters ◽  
Birgitta Weber ◽  
Peter Widmayer
Keyword(s):  
Single Machine ◽  
Batch Scheduling

Bi-objective optimization of single-machine batch scheduling under time-of-use electricity prices

2016 ◽  
Vol 50 (4-5) ◽  
pp. 715-732 ◽  
Author(s):  
Junheng Cheng ◽  
Feng Chu ◽  
Chengbin Chu ◽  
Weili Xia
Keyword(s):  
Single Machine ◽  
Batch Scheduling ◽  
Electricity Prices

scholarly journals Single-Machine Parallel-Batch Scheduling with Nonidentical Job Sizes and Rejection

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 258
Author(s):  
Miaomiao Jin ◽  
Xiaoxia Liu ◽  
Wenchang Luo
Keyword(s):  
Integer Programming ◽  
Single Machine ◽  
Heuristic Algorithms ◽  
Batch Processing ◽  
Batch Scheduling ◽  
Scheduling Problem ◽  
Programming Formulation ◽  
Processing Times ◽  
Batch Processing Machine ◽  
Rejection Penalty

We investigate the single-machine parallel-batch scheduling problem with nonidentical job sizes and rejection. In this problem, a set of jobs with different processing times and nonidentical sizes is given to be possibly processed on a parallel-batch processing machine. Each job is either accepted and then processed on the machine or rejected by paying its rejection penalty. Preemption is not allowed. Our task is to choose the accepted jobs and schedule them as batches on the machine to minimize the makespan of the accepted jobs plus the total rejection penalty of the rejected jobs. We provide an integer programming formulation to exactly solve our problem. Then, we propose three fast heuristic algorithms to solve the problem and evaluate their performances by using a small numerical example.

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