2018
DOI: 10.1002/tee.22842
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Job scheduling and resource allocation in parallel‐machine system via a hybrid nested partition method

Abstract: Scheduling problems with resource allocation have received much attention in the academic and industrial communities in recent years. This study addresses a parallel-machine scheduling problem with resource allocation under the objective of minimizing the makespan, where jobs need an additional resource that is allocated to machines in advance. The processing time of jobs is a function of the amount of allocated resources on their corresponding machines. In order to deal with this problem, three decisions must… Show more

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Cited by 6 publications
(5 citation statements)
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References 33 publications
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“…r ik the required amount of resource that job i is processed in mode k. p ik the processing time of job i is processed in mode k. applied to solve many complex optimization problems, for example, traveling salesman problem, 43 buffer allocation problem, 44 product design problem, 45 and production scheduling problems. 46,47 Basic algorithm framework…”
Section: Solution Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…r ik the required amount of resource that job i is processed in mode k. p ik the processing time of job i is processed in mode k. applied to solve many complex optimization problems, for example, traveling salesman problem, 43 buffer allocation problem, 44 product design problem, 45 and production scheduling problems. 46,47 Basic algorithm framework…”
Section: Solution Methodsmentioning
confidence: 99%
“…applied to solve many complex optimization problems, for example, traveling salesman problem, 43 buffer allocation problem, 44 product design problem, 45 and production scheduling problems. 46,47 Basic algorithm framework…”
Section: Solution Methodsmentioning
confidence: 99%
“…Results show that the proposed method outperforms the methods proposed by Daniels et al (1997) in terms of computational time and solution quality. In Fu, Jiang, Tian, & Wang (2019b) , the authors consider the same problem, but propose a hybrid NPM. Similarly, compared to the methods of Daniels et al (1997) , their proposed solution method shows better results.…”
Section: Scheduling With Speeding-up Resource Typesmentioning
confidence: 99%
“…Gyorgyi, Peter (2017) propose a polynomial time approximation scheme to solve the UPMR with non-renewable resource constraints. Fu, Y., Jiang, G., Tian, G., et al (2019) design a constructive heuristic approach and a hybrid nested partition method to fix the UPS where the resource needs to be allocated to machines in advance. Fanjul-Peyro, L., Perea, F., Ruiz, Rubén (2017) uses the ideas obtained from bin packing problem and propose matheuristic strategies.…”
Section: : Literature Reviewmentioning
confidence: 99%