A Closed-Loop Supply Chain Equilibrium Model with Random and Price-Sensitive Demand and Return
This paper proposes a decentralized closed-loop supply chain network model consisting of raw material suppliers, manufacturers, retailers, and recovery centers. We assume that the demands for the product and the corresponding returns are random and price-sensitive. Retailers and recovery centers fac...
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Veröffentlicht in: | Networks and spatial economics 2017-06, Vol.17 (2), p.459-503 |
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description | This paper proposes a decentralized closed-loop supply chain network model consisting of raw material suppliers, manufacturers, retailers, and recovery centers. We assume that the demands for the product and the corresponding returns are random and price-sensitive. Retailers and recovery centers face penalties associated with shortage demand and supply, respectively. We derive the optimality conditions of the various decision-makers, and establish that the governing equilibrium conditions can be formulated as a finite-dimensional variational inequality problem. The qualitative properties of the solution to the variational inequality are discussed. Numerical examples are provided to illustrate the effects of demand and return uncertainties on quantity shipments and prices. |
doi_str_mv | 10.1007/s11067-016-9333-y |
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Numerical examples are provided to illustrate the effects of demand and return uncertainties on quantity shipments and prices.</description><subject>Civil Engineering</subject><subject>Demand</subject><subject>Economic activity</subject><subject>Economic models</subject><subject>Economics</subject><subject>Economics and Finance</subject><subject>Equilibrium conditions</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Operations Research/Decision Theory</subject><subject>Optimization</subject><subject>Portfolio management</subject><subject>Recovery</subject><subject>Regional/Spatial Science</subject><subject>Shipments</subject><subject>Studies</subject><subject>Suppliers</subject><subject>Supply & demand</subject><subject>Supply chain management</subject><subject>Supply chains</subject><issn>1566-113X</issn><issn>1572-9427</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kEtLxDAUhYsoOI7-AHcB19GbpE2a5VDHB4woMwquDJ0mdTL0NUmr9N_bUhduXNwHl3POhS8ILglcEwBx4wkBLjAQjiVjDPdHwYxEgmIZUnE87pxjQtj7aXDm_R4GYUSjWfCxQElRe6Pxqq4btOmapuhRsktthZaHzhZ262xXoqdamwJ923aH1mml6xINHb04mxm8MZW3rf0y6NaU43mstWk7V50HJ3laeHPxO-fB293yNXnAq-f7x2SxwhkL4xZrAB1GVPAY8kznDKjhEIdSiByAZzyMjZREGBBbqk0sSB5uteSSZprxNGNsHlxNuY2rD53xrdrXw_vhpSKSAGUR4TCoyKTKXO29M7lqnC1T1ysCasSoJoxqoKNGjKofPHTy-EFbfRr3J_lf0w80UHTD</recordid><startdate>20170601</startdate><enddate>20170601</enddate><creator>Hamdouch, Younes</creator><creator>Qiang, Qiang Patrick</creator><creator>Ghoudi, Kilani</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>L.-</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope></search><sort><creationdate>20170601</creationdate><title>A Closed-Loop Supply Chain Equilibrium Model with Random and Price-Sensitive Demand and Return</title><author>Hamdouch, Younes ; 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We assume that the demands for the product and the corresponding returns are random and price-sensitive. Retailers and recovery centers face penalties associated with shortage demand and supply, respectively. We derive the optimality conditions of the various decision-makers, and establish that the governing equilibrium conditions can be formulated as a finite-dimensional variational inequality problem. The qualitative properties of the solution to the variational inequality are discussed. Numerical examples are provided to illustrate the effects of demand and return uncertainties on quantity shipments and prices.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11067-016-9333-y</doi><tpages>45</tpages></addata></record> |
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subjects | Civil Engineering Demand Economic activity Economic models Economics Economics and Finance Equilibrium conditions Mathematical analysis Mathematical models Operations Research/Decision Theory Optimization Portfolio management Recovery Regional/Spatial Science Shipments Studies Suppliers Supply & demand Supply chain management Supply chains |
title | A Closed-Loop Supply Chain Equilibrium Model with Random and Price-Sensitive Demand and Return |
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