A stochastic joint replenishment problem considering transportation and warehouse constraints with gainsharing by Shapley Value allocation.

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Title: A stochastic joint replenishment problem considering transportation and warehouse constraints with gainsharing by Shapley Value allocation.
Authors: Otero-Palencia, Carlos1 cjotero@uninorte.edu.co, Amaya–Mier, René1, Yie-Pinedo, Ruben1
Source: International Journal of Production Research. May2019, Vol. 57 Issue 10, p3036-3059. 24p. 4 Diagrams, 5 Charts, 1 Graph.
Subjects: Warehouses, Cost control, Genetic algorithms, Operating costs, Gaussian distribution, Economies of scale
Abstract: The purpose of this paper is to introduce a heuristic approach that uses a capacitated inventory model as means for identifying a collaborative agreement between different buyers jointly replenishing multiple items from multiple vendors, thus attaining economies of scale while reducing by sharing fixed procurement and operational costs. The proposed approach is denominated Stochastic Collaborative Joint Replenishment Problem (S-CJRP) and consists of two stages. The first stage determines a cost-efficient replenishment frequency for each collaborating company in all possible coalition arrangements. To accomplish the former, an extension of the known Joint Replenishment Problem (JRP) considering real-life capacity constraints, such as stochastic demand assuming normal distribution, finite storage and transport, is solved via genetic algorithms delivering a suitable coalition. In a second stage, the Shapley Value function is established to assess and allocate the potential gains achieved by colluding in the first stage, determining a fair share distribution among players that increases the viability of such coalition. Several scenarios from a simulated numerical study illustrate average cost savings of 32.3%. 28.2% and 32.7% for 3, 4 and 5 players, respectively, considering up to 30 items for the proposed collaboration, in all cases consistently exhibiting cost reduction and increasing the proposal feasibility. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A stochastic joint replenishment problem considering transportation and warehouse constraints with gainsharing by Shapley Value allocation.
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  Data: <searchLink fieldCode="AR" term="%22Otero-Palencia%2C+Carlos%22">Otero-Palencia, Carlos</searchLink><relatesTo>1</relatesTo><i> cjotero@uninorte.edu.co</i><br /><searchLink fieldCode="AR" term="%22Amaya–Mier%2C+René%22">Amaya–Mier, René</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Yie-Pinedo%2C+Ruben%22">Yie-Pinedo, Ruben</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Production+Research%22">International Journal of Production Research</searchLink>. May2019, Vol. 57 Issue 10, p3036-3059. 24p. 4 Diagrams, 5 Charts, 1 Graph.
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  Data: <searchLink fieldCode="DE" term="%22Warehouses%22">Warehouses</searchLink><br /><searchLink fieldCode="DE" term="%22Cost+control%22">Cost control</searchLink><br /><searchLink fieldCode="DE" term="%22Genetic+algorithms%22">Genetic algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Operating+costs%22">Operating costs</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+distribution%22">Gaussian distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Economies+of+scale%22">Economies of scale</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The purpose of this paper is to introduce a heuristic approach that uses a capacitated inventory model as means for identifying a collaborative agreement between different buyers jointly replenishing multiple items from multiple vendors, thus attaining economies of scale while reducing by sharing fixed procurement and operational costs. The proposed approach is denominated Stochastic Collaborative Joint Replenishment Problem (S-CJRP) and consists of two stages. The first stage determines a cost-efficient replenishment frequency for each collaborating company in all possible coalition arrangements. To accomplish the former, an extension of the known Joint Replenishment Problem (JRP) considering real-life capacity constraints, such as stochastic demand assuming normal distribution, finite storage and transport, is solved via genetic algorithms delivering a suitable coalition. In a second stage, the Shapley Value function is established to assess and allocate the potential gains achieved by colluding in the first stage, determining a fair share distribution among players that increases the viability of such coalition. Several scenarios from a simulated numerical study illustrate average cost savings of 32.3%. 28.2% and 32.7% for 3, 4 and 5 players, respectively, considering up to 30 items for the proposed collaboration, in all cases consistently exhibiting cost reduction and increasing the proposal feasibility. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/00207543.2018.1526418
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Cost control
        Type: general
      – SubjectFull: Genetic algorithms
        Type: general
      – SubjectFull: Operating costs
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      – SubjectFull: Gaussian distribution
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      – SubjectFull: Economies of scale
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      – TitleFull: A stochastic joint replenishment problem considering transportation and warehouse constraints with gainsharing by Shapley Value allocation.
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            NameFull: Otero-Palencia, Carlos
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            NameFull: Amaya–Mier, René
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            NameFull: Yie-Pinedo, Ruben
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              Text: May2019
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