2011
DOI: 10.1007/978-3-642-22348-8_14
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Efficient Distributed Linear Programming with Limited Disclosure

Abstract: Abstract. In today's networked world, resource providers and consumers are distributed globally and locally. However, with resource constraints, optimization is necessary to ensure the best possible usage of such scarce resources. Distributed linear programming (DisLP) problems allow collaborative agents to jointly maximize profits (or minimize costs) with a linear objective function while conforming to several shared as well as local linear constraints. Since each agent's share of the global constraints and t… Show more

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Cited by 11 publications
(9 citation statements)
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References 11 publications
(26 reference statements)
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“…However, privacy protection issues in a full-collaboration relationship incorporating both vertical and horizontal collaborations are seldom studied. Note that Hong et al (2011aHong et al ( , 2012a studied a mixed data/information partition model for securely solving collaborative linear programming. However, such a model still belongs to the horizontal collaboration in the supply chain.…”
Section: Future Research Trend and Challenge Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…However, privacy protection issues in a full-collaboration relationship incorporating both vertical and horizontal collaborations are seldom studied. Note that Hong et al (2011aHong et al ( , 2012a studied a mixed data/information partition model for securely solving collaborative linear programming. However, such a model still belongs to the horizontal collaboration in the supply chain.…”
Section: Future Research Trend and Challenge Discussionmentioning
confidence: 99%
“…The existing work has successfully protected the private information among all the parties. More specifically, Hong et al (2011aHong et al ( , 2012a enable General Mills and Land O'Lakes to find the optimal delivery assignment in collaborative logistics without sharing their private delivery information, and also accommodate secure channels for different manufacturers to obtain the optimal production assignment without sharing their private production information. The constraints of linear programming problem in Mangasarian (2012) and Li et al (2013) have been horizontally partitioned; then the proposed approach can be utilized to secure the production process in which each factory privately holds a different kind of raw material, or secure the taskmachine scheduling process in which every machine is held by one party.…”
Section: Linear Programmingmentioning
confidence: 99%
“…Specifically, Li and Atallah and Vaidya proposed privacy‐preserving techniques for solving two‐party linear programming (LP) problems. Hong and Vaidya and Mangasarian protected the privacy while solving different forms of multiparty LP problems and their corresponding applications . Besides LP, some other classic optimization problems can be also securely solved with limited disclosure in literature (e.g., ).…”
Section: Related Workmentioning
confidence: 99%
“…Du [12] and Vaidya [13] transformed the linear programming problem by multiplying a monomial matrix to both the constraint matrix and the objective function, assuming that one party holds the objective function while the other party holds the constraints. Bednarz et al [14,15] pointed out a potential attack to the above transformation approach, which has been resolved in [3,16]. In addition, Mangasarian presented two transformation approaches for horizontally partitioned linear programs [17] and vertically partitioned linear programs [18] respectively.…”
Section: Related Workmentioning
confidence: 99%