2016
DOI: 10.1002/nav.21715
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Parallel machine scheduling with batch deliveries to minimize total flow time and delivery cost

Abstract: Motivated by the flow of products in the iron and steel industry, we study an identical and parallel machine scheduling problem with batch deliveries, where jobs finished on the parallel machines are delivered to customers in batches. Each delivery batch has a capacity and incurs a cost. The objective is to find a coordinated production and delivery schedule that minimizes the total flow time of jobs plus the total delivery cost. This problem is an extension of the problem considered by Hall and Potts, Ann Ope… Show more

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Cited by 8 publications
(8 citation statements)
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“…in which L stands for the set of late jobs in solution S. Based on Eqs. 7and (8), one can draw the following conclusion.…”
Section: Structure Property Analysismentioning
confidence: 68%
See 2 more Smart Citations
“…in which L stands for the set of late jobs in solution S. Based on Eqs. 7and (8), one can draw the following conclusion.…”
Section: Structure Property Analysismentioning
confidence: 68%
“…by Eq. (8). Thus, the value that increases in the optimization function of 2 due to this operation in this case equals…”
Section: Theorem 42 Problem P1 May Be Solved By Algorithm Mdb T Withmentioning
confidence: 95%
See 1 more Smart Citation
“…e coordinated scheduling problems of production and transportation with batching decisions in the iron and steel industry are considered in [3][4][5][6]. Some researchers addressed production and distribution scheduling of minimizing the sum of the total (weighted) flow time and delivery cost from a batch delivery point of view.…”
Section: Introductionmentioning
confidence: 99%
“…In their study, there are m manufacturers that are modeled as single machines. Gong et al (2016) considered the flow of products in the iron and steel industry and studied an identical parallel machine scheduling problem with batch deliveries. Yin et al (2016) investigated a single machine batch delivery scheduling in a make-to-order production system involving two competing agents.…”
Section: Introductionmentioning
confidence: 99%