{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,12]],"date-time":"2025-06-12T09:43:15Z","timestamp":1749721395251},"reference-count":26,"publisher":"Elsevier BV","issue":"1-4","license":[{"start":{"date-parts":[[2000,9,1]],"date-time":"2000-09-01T00:00:00Z","timestamp":967766400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neurocomputing"],"published-print":{"date-parts":[[2000,9]]},"DOI":"10.1016\/s0925-2312(00)00310-6","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T16:23:52Z","timestamp":1027614232000},"page":"145-168","source":"Crossref","is-referenced-by-count":11,"title":["Determination of weights for relaxation recurrent neural networks"],"prefix":"10.1016","volume":"34","author":[{"given":"G\u00fcrsel","family":"Serpen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David L","family":"Livingston","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0925-2312(00)00310-6_BIB1","doi-asserted-by":"crossref","unstructured":"Abe, S., Theories on the Hopfield neural networks, Proceedings of International Joint Conference on Neural Networks, Washington DC, Vol. 1, 1989, pp. 557\u2013564.","DOI":"10.1109\/IJCNN.1989.118633"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB2","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1016\/S0893-6080(05)80043-7","article-title":"Solving inequality constrained combinatorial optimization problems by the Hopfield neural networks","volume":"5","author":"Abe","year":"1992","journal-title":"Neural Networks"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB3","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1109\/72.286889","article-title":"Neural networks for shortest path computation and routing in computer networks","volume":"4","author":"Ali","year":"1993","journal-title":"IEEE Trans. Neural Networks"},{"issue":"3","key":"10.1016\/S0925-2312(00)00310-6_BIB4","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1109\/72.501729","article-title":"Traffic management of a satellite communication network using stochastic optimization","volume":"7","author":"Ansari","year":"1996","journal-title":"IEEE Trans. Neural Networks"},{"issue":"2","key":"10.1016\/S0925-2312(00)00310-6_BIB5","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1109\/72.80232","article-title":"A theoretical investigation into the performance of the Hopfield model","volume":"1","author":"Aiyer","year":"1990","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB6","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1109\/72.207617","article-title":"Neural network for quadratic optimization with bound constraints","volume":"4","author":"Bouzerdoum","year":"1993","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB7","doi-asserted-by":"crossref","unstructured":"Cavalieri, S. and Mirabella, O. Neural Networks for Process Scheduling in Real-Time Communication Systems, IEEE Trans. Neural Networks, 7(5), 1996.","DOI":"10.1109\/72.536320"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB8","first-page":"418","article-title":"Energy function analysis of dynamic programming neural networks","volume":"4","author":"Chiu","year":"1994","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB9","series-title":"Neural Networks for Optimization and Signal Processing","author":"Cichocki","year":"1993"},{"issue":"1","key":"10.1016\/S0925-2312(00)00310-6_BIB10","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1109\/72.737495","article-title":"Extended Hopfield models for combinatorial optimization","volume":"10","author":"Gall","year":"1999","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB11","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1109\/72.125871","article-title":"Knapsack packing networks","volume":"3","author":"Hellstrom","year":"1992","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB12","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","article-title":"Neural networks and physical systems with emergent collective computational properties","volume":"79","author":"Hopfield","year":"1982","journal-title":"Proc. Nat. Acad. Sci. USA"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB13","doi-asserted-by":"crossref","first-page":"3088","DOI":"10.1073\/pnas.81.10.3088","article-title":"Neurons with graded response have collective computational properties like those of two-state neurons","volume":"81","author":"Hopfield","year":"1984","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB14","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/BF00339943","article-title":"Neural computations of decisions in optimization problems","volume":"52","author":"Hopfield","year":"1985","journal-title":"Biol. Cybernet."},{"key":"10.1016\/S0925-2312(00)00310-6_BIB15","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1126\/science.3755256","article-title":"Computing with neural networks","volume":"233","author":"Hopfield","year":"1986","journal-title":"Sci."},{"key":"10.1016\/S0925-2312(00)00310-6_BIB16","doi-asserted-by":"crossref","unstructured":"Li, S.Z., Improving convergence and solution quality of Hopfield-Type neural networks with augmented lagrange multipliers, IEEE Trans. Neural Networks 7(6), (1996).","DOI":"10.1109\/72.548179"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB17","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1109\/72.286888","article-title":"On solving constrained optimization problems with neural networks: a penalty method approach","volume":"4","author":"Lillo","year":"1993","journal-title":"IEEE Trans. Neural Networks"},{"issue":"6","key":"10.1016\/S0925-2312(00)00310-6_BIB18","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1109\/72.728382","article-title":"Optimal Hopfield network for combinatorial optimization with linear cost function","volume":"9","author":"Matsuda","year":"1998","journal-title":"IEEE Trans. Neural Networks"},{"issue":"7","key":"10.1016\/S0925-2312(00)00310-6_BIB19","doi-asserted-by":"crossref","first-page":"1241","DOI":"10.1016\/0893-6080(96)00017-2","article-title":"An investigation into the improvement of local minima of the Hopfield network","volume":"9","author":"Peng","year":"1996","journal-title":"Neural Networks"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB20","unstructured":"G. Serpen, Bounds on constraint weight parameters of Hopfield networks for stability of optimization problem solutions, Ph. D. Dissertation, Old Dominion University, Norfolk, VA., 1992."},{"key":"10.1016\/S0925-2312(00)00310-6_BIB21","first-page":"361","article-title":"Analysis of the relationship between weight parameters and stability of solutions in Hopfield networks from dynamic systems viewpoint","volume":"2","author":"Serpen","year":"1994","journal-title":"Neural Parallel Sci. Comput."},{"key":"10.1016\/S0925-2312(00)00310-6_BIB22","doi-asserted-by":"crossref","unstructured":"Serpen, G., Livingston, D.L., and Parvin, A. Determination of parameters in relaxation-search neural networks for optimization problems, Proceedings of International Conference on Neural Networks, Houston, TX, Vol 2, 1997, pp. 1125\u20131129.","DOI":"10.1109\/ICNN.1997.616214"},{"key":"10.1016\/S0925-2312(00)00310-6_BIB23","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/S0925-2312(96)00037-9","article-title":"On the performance of Hopfield network for graph search problem","volume":"14","author":"Serpen","year":"1997","journal-title":"Neurocomputing: Int. J."},{"issue":"6","key":"10.1016\/S0925-2312(00)00310-6_BIB24","doi-asserted-by":"crossref","first-page":"1301","DOI":"10.1109\/72.728380","article-title":"Neural techniques for combinatorial optimization with applications","volume":"9","author":"Smith","year":"1998","journal-title":"IEEE Trans. Neural Networks"},{"issue":"3","key":"10.1016\/S0925-2312(00)00310-6_BIB25","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1109\/72.501722","article-title":"A high performance neural network for solving linear and quadratic programming problems","volume":"7","author":"Wu","year":"1996","journal-title":"IEEE Trans. Neural Networks"},{"issue":"2","key":"10.1016\/S0925-2312(00)00310-6_BIB26","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1109\/72.485686","article-title":"A new neural network for solving linear programming problems and its application","volume":"7","author":"Xia","year":"1996","journal-title":"IEEE Trans. Neural Networks"}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231200003106?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231200003106?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T04:26:09Z","timestamp":1681100769000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925231200003106"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,9]]},"references-count":26,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2000,9]]}},"alternative-id":["S0925231200003106"],"URL":"https:\/\/doi.org\/10.1016\/s0925-2312(00)00310-6","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2000,9]]}}}