Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine Scheduling

Multiple production lines can work together to efficiently manufacture certain products. Thus, when capacity is insufficient, it is necessary to decide whether to develop new production lines to ensure the timely completion of all orders. For example, running a new production line for a small number...

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Main Authors: Hanxing Cui, Qilan Zhao, Huanhuan Wang, Yuliang Guo, Junjie Guo
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Systems
Subjects:
Online Access:https://www.mdpi.com/2079-8954/12/9/354
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author Hanxing Cui
Qilan Zhao
Huanhuan Wang
Yuliang Guo
Junjie Guo
author_facet Hanxing Cui
Qilan Zhao
Huanhuan Wang
Yuliang Guo
Junjie Guo
author_sort Hanxing Cui
collection DOAJ
description Multiple production lines can work together to efficiently manufacture certain products. Thus, when capacity is insufficient, it is necessary to decide whether to develop new production lines to ensure the timely completion of all orders. For example, running a new production line for a small number of orders is not cost-effective. Therefore, decision-making involves choosing between paying tardiness costs for a few orders, abandoning some orders, or developing new production lines to maximize efficiency. Additionally, the timely transportation of completed orders is crucial and depends on vehicle usage efficiency. From a transportation perspective, fully loading vehicles is the most efficient, but this may impact the timeliness of orders, leading to potential tardiness costs. By comprehensively considering these aspects, a multi-machine production model is constructed that incorporates transportation batch sequences and uses heuristic algorithms to solve the problem. Finally, designed case examples validate the effectiveness of the model and algorithm.
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institution OA Journals
issn 2079-8954
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publisher MDPI AG
record_format Article
series Systems
spelling doaj-art-e588cb9accd544d5bea8301f5a3221742025-08-20T01:55:52ZengMDPI AGSystems2079-89542024-09-0112935410.3390/systems12090354Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine SchedulingHanxing Cui0Qilan Zhao1Huanhuan Wang2Yuliang Guo3Junjie Guo4School of Economics and Management, Beijing Jiaotong University, Beijing 100082, ChinaSchool of Economics and Management, Beijing Jiaotong University, Beijing 100082, ChinaSchool of Economics and Management, Beijing Jiaotong University, Beijing 100082, ChinaSchool of Economics and Management, Beijing Jiaotong University, Beijing 100082, ChinaSchool of Economics and Management, Beijing Jiaotong University, Beijing 100082, ChinaMultiple production lines can work together to efficiently manufacture certain products. Thus, when capacity is insufficient, it is necessary to decide whether to develop new production lines to ensure the timely completion of all orders. For example, running a new production line for a small number of orders is not cost-effective. Therefore, decision-making involves choosing between paying tardiness costs for a few orders, abandoning some orders, or developing new production lines to maximize efficiency. Additionally, the timely transportation of completed orders is crucial and depends on vehicle usage efficiency. From a transportation perspective, fully loading vehicles is the most efficient, but this may impact the timeliness of orders, leading to potential tardiness costs. By comprehensively considering these aspects, a multi-machine production model is constructed that incorporates transportation batch sequences and uses heuristic algorithms to solve the problem. Finally, designed case examples validate the effectiveness of the model and algorithm.https://www.mdpi.com/2079-8954/12/9/354parallel machinetardiness costbatch delivery
spellingShingle Hanxing Cui
Qilan Zhao
Huanhuan Wang
Yuliang Guo
Junjie Guo
Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine Scheduling
Systems
parallel machine
tardiness cost
batch delivery
title Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine Scheduling
title_full Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine Scheduling
title_fullStr Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine Scheduling
title_full_unstemmed Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine Scheduling
title_short Integrating Order Splitting and Acceptance with Batch Delivery in Parallel Machine Scheduling
title_sort integrating order splitting and acceptance with batch delivery in parallel machine scheduling
topic parallel machine
tardiness cost
batch delivery
url https://www.mdpi.com/2079-8954/12/9/354
work_keys_str_mv AT hanxingcui integratingordersplittingandacceptancewithbatchdeliveryinparallelmachinescheduling
AT qilanzhao integratingordersplittingandacceptancewithbatchdeliveryinparallelmachinescheduling
AT huanhuanwang integratingordersplittingandacceptancewithbatchdeliveryinparallelmachinescheduling
AT yuliangguo integratingordersplittingandacceptancewithbatchdeliveryinparallelmachinescheduling
AT junjieguo integratingordersplittingandacceptancewithbatchdeliveryinparallelmachinescheduling