{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T19:56:15Z","timestamp":1760730975482},"reference-count":53,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2017,10]]},"abstract":"<jats:p> A firm sets up his facilities including manufacturing\/remanufacturing plants and distribution\/collection centers, incorporating an existing closed-loop supply chain (CLSC) network. The entering firm has to compete with the existing firms in the existing network. The entering firm behaves as the leader of a Stackelberg game while the existing firms in the existing network are followers. We assume that the entering firm can anticipate the existing firms\u2019 reaction to his potential location decision before choosing his optimal policy. We use a CLSC network equilibrium model in which the decision makers are faced with multiple objectives to capture the existing firms\u2019 reaction. A mathematical programming model with equilibrium constraints is developed for this competitive CLSC network design problem by taking into account the market competition existing in the decentralized CLSC network. A solution method is developed by integrating Genetic algorithm with an inexact logarithmic-quadratic proximal augmented Lagrangian method. Finally, numerical examples and the related results are studied for illustration purpose. <\/jats:p>","DOI":"10.1142\/s0217595917500269","type":"journal-article","created":{"date-parts":[[2017,9,15]],"date-time":"2017-09-15T01:57:27Z","timestamp":1505440647000},"page":"1750026","source":"Crossref","is-referenced-by-count":9,"title":["A Mathematical Programming Model with Equilibrium Constraints for Competitive Closed-Loop Supply Chain Network Design"],"prefix":"10.1142","volume":"34","author":[{"given":"Yuxiang","family":"Yang","sequence":"first","affiliation":[{"name":"College of Economics and Management, China Jiliang University, Hangzhou, Zhejiang 310018, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zuqing","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Economics and Management, China Jiliang University, Hangzhou, Zhejiang 310018, P. R. 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