{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T17:46:18Z","timestamp":1777311978389,"version":"3.51.4"},"reference-count":31,"publisher":"Pleiades Publishing Ltd","issue":"4","license":[{"start":{"date-parts":[[2014,4,1]],"date-time":"2014-04-01T00:00:00Z","timestamp":1396310400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,4,1]],"date-time":"2014-04-01T00:00:00Z","timestamp":1396310400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Autom Remote Control"],"published-print":{"date-parts":[[2014,4]]},"DOI":"10.1134\/s0005117914040110","type":"journal-article","created":{"date-parts":[[2014,4,15]],"date-time":"2014-04-15T05:00:31Z","timestamp":1397538031000},"page":"715-727","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["Bilevel competitive facility location and pricing problems"],"prefix":"10.1134","volume":"75","author":[{"given":"A. A.","family":"Panin","sequence":"first","affiliation":[]},{"given":"M. G.","family":"Pashchenko","sequence":"additional","affiliation":[]},{"given":"A. V.","family":"Plyasunov","sequence":"additional","affiliation":[]}],"member":"137","published-online":{"date-parts":[[2014,4,16]]},"reference":[{"key":"57_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-7572-0","volume-title":"Foundations of Location Analysis","author":"HA Eiselt","year":"2011","unstructured":"Eiselt, H.A. and Marianov, V., Foundations of Location Analysis, New York: Springer, 2011."},{"key":"57_CR2","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1016\/S0966-8349(98)00053-9","volume":"6","author":"HW Hamacher","year":"1998","unstructured":"Hamacher, H.W. and Nickel, S., Classification of Location Models, Locat. Sci., 1998, vol. 6, pp. 229\u2013242.","journal-title":"Locat. Sci."},{"key":"57_CR3","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1016\/S0377-2217(96)00216-0","volume":"96","author":"HA Eiselt","year":"1996","unstructured":"Eiselt, H.A. and Laporte, G., Sequential Location Problems, Eur. J. Oper. Res., 1996, vol. 96, pp. 217\u2013242.","journal-title":"Eur. J. Oper. Res."},{"key":"57_CR4","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1287\/trsc.27.1.44","volume":"27","author":"HA Eiselt","year":"1993","unstructured":"Eiselt, H.A., Laporte, G., and Thisse, J.-F., Competitive Location Models: A Framework and Bibliography, Transportat. Sci., 1993, vol. 27, pp. 44\u201354.","journal-title":"Transportat. Sci."},{"key":"57_CR5","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1016\/S0377-2217(00)00169-7","volume":"129","author":"F Plastria","year":"2001","unstructured":"Plastria, F., Sequential Location Problems, Eur. J. Oper. Res., 2001, vol. 129, pp. 461\u2013470.","journal-title":"Eur. J. Oper. Res."},{"key":"57_CR6","doi-asserted-by":"publisher","first-page":"41","DOI":"10.2307\/2224214","volume":"39","author":"H Hotelling","year":"1929","unstructured":"Hotelling, H., Stability in Competition, Econ. J., 1929, vol. 39, pp. 41\u201357.","journal-title":"Econ. J."},{"key":"57_CR7","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1093\/oxfordjournals.oep.a041343","volume":"28","author":"DA Hay","year":"1976","unstructured":"Hay, D.A., Sequential Entry and Entry-Deterring Strategies in Spatial Competition, Oxford Econ. Papers, 1976, vol. 28, pp. 240\u2013257.","journal-title":"Oxford Econ. Papers"},{"key":"57_CR8","doi-asserted-by":"publisher","first-page":"378","DOI":"10.2307\/3003293","volume":"8","author":"EC Prescott","year":"1977","unstructured":"Prescott, E.C. and Vissher, M., Sequential Location Among Firms with Foresight, Bell J. Econ. Papers, 1977, vol. 8, pp. 378\u2013393.","journal-title":"Bell J. Econ. Papers"},{"key":"57_CR9","volume-title":"Marktform und Gleichgewicht","author":"H von Stackelberg","year":"1934","unstructured":"von Stackelberg, H., Marktform und Gleichgewicht, Vienna: Springer, 1934."},{"key":"57_CR10","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1016\/j.ejor.2011.06.036","volume":"217","author":"D Kress","year":"2012","unstructured":"Kress, D. and Pesch, E., Sequential Competitive Location on Networks, Eur. J. Oper. Res., 2012, vol. 217, pp. 483\u2013499.","journal-title":"Eur. J. Oper. Res."},{"key":"57_CR11","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1007\/BF02578966","volume":"12","author":"MD Garcia","year":"2004","unstructured":"Garcia, M.D., Fernandez, P., and Pelegrin, B., On Price Competition in Location-Price Models with Spatially Separated Markets, TOP, 2004, vol. 12, pp. 351\u2013374.","journal-title":"TOP"},{"key":"57_CR12","first-page":"11","volume":"6022","author":"E Alekseeva","year":"2010","unstructured":"Alekseeva, E., Kochetova, N., Kochetov, Y., et al., A Heuristic and Exact Methods for the Discrete (r|p)-Centroid Problem, LNCS, 2010, vol. 6022, pp. 11\u201322.","journal-title":"LNCS"},{"key":"57_CR13","doi-asserted-by":"publisher","first-page":"654","DOI":"10.1016\/j.ejor.2006.06.039","volume":"181","author":"H Noltermeier","year":"2007","unstructured":"Noltermeier, H., Spoerhose, J., and Wirth, H.C., Multiple Voting Location and Single Voting Location on Trees, Eur. J. Oper. Res., 2007, vol. 181, pp. 654\u2013667.","journal-title":"Eur. J. Oper. Res."},{"key":"57_CR14","volume-title":"TOP","author":"I Davydov","year":"2013","unstructured":"Davydov, I., Kochetov, Yu., and Plyasunov, A., On the Complexity of the (r|p)-Centroid Problem in the Plane, TOP, 2013, DOI:10.1007\/s11750-013-0275-y."},{"key":"57_CR15","first-page":"41","volume":"36","author":"P Hanjoul","year":"1990","unstructured":"Hanjoul, P., Hansen, P., Peeters, D., and Thisse, J-F., Uncapacitated Plant Location under Alternative Spatial Price Policies, Market Sci., 1990, vol. 36, pp. 41\u201357.","journal-title":"Market Sci."},{"issue":"2","key":"57_CR16","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1134\/S1990478913020142","volume":"7","author":"A Panin","year":"2013","unstructured":"Panin, A. and Plyasunov, A., The Pricing Problem. Part I: Exact and Approximate Algorithms, J. Appl. Ind. Math., 2013, vol. 7, no. 2, pp. 241\u2013251.","journal-title":"J. Appl. Ind. Math."},{"issue":"3","key":"57_CR17","doi-asserted-by":"publisher","first-page":"420","DOI":"10.1134\/S1990478913030150","volume":"7","author":"A Panin","year":"2013","unstructured":"Panin, A. and Plyasunov, A., The Pricing Problem. Part II: Computational Complexity, J. Appl. Ind. Math., 2013, vol. 7, no. 3, pp. 420\u2013430.","journal-title":"J. Appl. Ind. Math."},{"key":"57_CR18","volume-title":"Foundations of Bilevel Programming","author":"SJ Dempe","year":"2002","unstructured":"Dempe, S.J., Foundations of Bilevel Programming, Dordrecht: Kluwer, 2002."},{"key":"57_CR19","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1016\/j.ejor.2006.07.021","volume":"182","author":"R Aboolian","year":"2007","unstructured":"Aboolian, R., Berman, O., and Krass, D., Competitive Facility Location and Design Problem, Eur. J. Oper. Res., 2007, vol. 182, pp. 40\u201362.","journal-title":"Eur. J. Oper. Res."},{"issue":"6","key":"57_CR20","first-page":"3","volume":"17","author":"VL Beresnev","year":"2010","unstructured":"Beresnev, V.L. and Mel\u2019nikov, A.A., Approximate Algorithms for Competitive Facility Location Problems, Diskret. Anal. Issled. Oper., 2010, vol. 17, no. 6, pp. 3\u201319.","journal-title":"Diskret. Anal. Issled. Oper."},{"key":"57_CR21","volume-title":"Microeconomics and Behavior","author":"RH Frank","year":"2008","unstructured":"Frank, R.H., Microeconomics and Behavior, New York: McGraw-Hill\/Irwin, 2008. Translated under the title Mikroekonomika i povedenie, Moscow: INFRA-M, 2000."},{"key":"57_CR22","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1007\/978-3-642-29210-1_44","volume-title":"Operations Research Proceedings 2011","author":"E Carrizosa","year":"2012","unstructured":"Carrizosa, E., Davydov, I., and Kochetov, Yu., A New Alternating Heuristic for the (r|p)-Centroid Problem on the Plane, in Operations Research Proceedings 2011, Berlin: Springer, 2012, pp. 275\u2013280."},{"key":"57_CR23","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/S0165-1765(97)00100-6","volume":"56","author":"AJ Yates","year":"1997","unstructured":"Yates, A.J., Hotelling and the New York Stock Exchange, Econom. Lett., 1997, vol. 56, pp. 107\u2013110.","journal-title":"Econom. Lett."},{"key":"57_CR24","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1016\/S0166-0462(00)00067-3","volume":"31","author":"F-C Yai","year":"2001","unstructured":"Yai, F.-C., Sequential Locations in Directional Markets, Region. Sci. Urban Econom., 2001, vol. 31, pp. 535\u2013546.","journal-title":"Region. Sci. Urban Econom."},{"key":"57_CR25","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/j.omega.2011.04.005","volume":"40","author":"B Pelegrin","year":"2012","unstructured":"Pelegrin, B., Fernandez, P., Garcia, M.D., and Cano, S., On the Location of New Facilities for Chain Expansion under Delivered Pricing, Omega, 2012, vol. 40, pp. 149\u2013158.","journal-title":"Omega"},{"key":"57_CR26","volume-title":"Algorithms and Theory of Computation Handbook","author":"M Attallah","year":"1999","unstructured":"Attallah, M., Algorithms and Theory of Computation Handbook, Boca Raton: CRC Press, 1999."},{"key":"57_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58412-1","volume-title":"Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties","author":"G Ausiello","year":"1999","unstructured":"Ausiello, G., Crescenzi, P., Gambosi, G., et al., Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties, Berlin: Springer-Verlag, 1999."},{"key":"57_CR28","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1016\/S0305-0548(02)00024-2","volume":"30","author":"J Bhadury","year":"2003","unstructured":"Bhadury, J., Eiselt, H.A., and Jaramillo, J.H., An Alternating Heuristic for Medianoid and Centroid Problems in the Plane, Comput. Oper. Res., 2003, vol. 30, pp. 553\u2013565.","journal-title":"Comput. Oper. Res."},{"key":"57_CR29","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/0305-0548(88)90030-5","volume":"15","author":"HD Sherali","year":"1988","unstructured":"Sherali, H.D. and Soyster, A.L., Convergence Analysis and Algorithmic Implications of Twodynamic Processes Toward an Oligopoly-Competitive Fringe Equilibrium Set, Comput. Oper. Res., 1988, vol. 15, pp. 69\u201381.","journal-title":"Comput. Oper. Res."},{"key":"57_CR30","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1007\/978-3-642-37838-6_7","volume-title":"Metaheuristics for Bi-Level Optimization (Studies in Computational Intelligence)","author":"E Alekseeva","year":"2013","unstructured":"Alekseeva, E. and Kochetov, Yu., Metaheuristics and Exact Methods for the Discrete (r|p)-Centroid Problem, in Metaheuristics for Bi-Level Optimization (Studies in Computational Intelligence), Talbi, E.-G. and Brotcorne, L., Eds., Berlin: Springer, 2013, pp. 189\u2013219."},{"issue":"4","key":"57_CR31","doi-asserted-by":"publisher","first-page":"677","DOI":"10.1134\/S0005117914040080","volume":"75","author":"IA Davydov","year":"2014","unstructured":"Davydov, I.A., Kochetov, Yu.A., Mladenovich, N., and Urosevich, D., Fast Metaheuristics for the Discrete (r|p)-Centroid Problem, Autom. Remote Control, 2014, vol. 75, no. 4, pp. 677\u2013687.","journal-title":"Autom. Remote Control"}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117914040110.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117914040110","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117914040110","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117914040110.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:28:04Z","timestamp":1773613684000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117914040110"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4]]},"references-count":31,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,4]]}},"alternative-id":["57"],"URL":"https:\/\/doi.org\/10.1134\/s0005117914040110","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,4]]},"assertion":[{"value":"14 November 2013","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 April 2014","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}