{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T21:11:10Z","timestamp":1774905070735,"version":"3.50.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2003,7,1]],"date-time":"2003-07-01T00:00:00Z","timestamp":1057017600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,7,1]],"date-time":"2003-07-01T00:00:00Z","timestamp":1057017600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Event Dynamic Systems"],"published-print":{"date-parts":[[2003,7]]},"DOI":"10.1023\/a:1024055724914","type":"journal-article","created":{"date-parts":[[2003,9,12]],"date-time":"2003-09-12T17:07:28Z","timestamp":1063386448000},"page":"245-262","source":"Crossref","is-referenced-by-count":27,"title":["Marking Optimization of Weighted Marked Graphs"],"prefix":"10.1007","volume":"13","author":[{"given":"Nathalie","family":"Sauer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"2","key":"5124356_CR1","doi-asserted-by":"crossref","first-page":"117\u2014125","DOI":"10.1109\/32.67593","volume":"17","author":"J. Campos","year":"1991","unstructured":"Campos, J., Chiola, 0., and Silva, M. 1991. Ergodicity and throughput bounds of Petri nets with unique consistent firing count vector. IEEE Trans. on Software Engineering 17(2): 117\u2014125.","journal-title":"IEEE Trans. on Software Engineering"},{"key":"5124356_CR2","doi-asserted-by":"crossref","unstructured":"Chao, D. T., Zhou, M., and Wang, D. T. 1993. Multiple-weighted marked graphs. Proc. IFAC 12th Triennial World Congress, Australia: Sydney. pp. 371\u2014374.","DOI":"10.1016\/S1474-6670(17)48491-6"},{"key":"5124356_CR3","first-page":"116\u2014128","volume-title":"Workshop on structure in concurrency theory and works\/sop in computing","author":"P. Chrzastowski-Wachtel","year":"1995","unstructured":"Chrzastowski-Wachtel. P., and Raczunas, M. 1995. Orbits, half-frozen tokens and the liveness of weighted circuits. 'Workshop on structure in concurrency theory and works\/sop in computing. Berlin: Springer Verlag, pp. 116\u2014128."},{"key":"5124356_CR4","first-page":"957\u2014966","volume":"144","author":"S. Gaubert","year":"1990","unstructured":"Gaubert, S. 1990. An algebraic method for optimizing resources in timed event graphs, Lecture Notes in Control amid information Sciences, No. 144, Springer Verlag, pp. 957\u2014966.","journal-title":"Lecture Notes in Control amid information Sciences"},{"issue":"5","key":"5124356_CR5","doi-asserted-by":"crossref","first-page":"547\u2014555","DOI":"10.1109\/9.135488","volume":"37","author":"S. Laftit","year":"1992","unstructured":"Laftit, S. Proth, J. M., and Xie, X. 1992. Optimization of semiflow criteria for event graphs. IEEE Trans. on Automatic Control37(5): 547\u2014555.","journal-title":"IEEE Trans. on Automatic Control"},{"key":"5124356_CR6","first-page":"487\u2014513","volume":"27","author":"A. Munier","year":"1993","unstructured":"Munier, A. 1993. R\u00e9gime asymptotique optimal dun graphe d'\u00e9v\u00e9nements temporis\u00e9 gen\u00e9ralis\u00e9\u2014Applicatton un probl\u00e8me d'assemblage. RAIRO 27: 487\u2014513.","journal-title":"RAIRO"},{"key":"5124356_CR7","doi-asserted-by":"crossref","first-page":"219\u2014238","DOI":"10.1016\/0166-218X(94)00126-X","volume":"64","author":"A. Munier","year":"1996","unstructured":"Munier, A. 1996. The basic cyclic scheduling problem with linear precedence constraints. Discrete Applied Mathematics 64: 219\u2014238.","journal-title":"Discrete Applied Mathematics"},{"issue":"4","key":"5124356_CR8","doi-asserted-by":"crossref","first-page":"541\u2014580","DOI":"10.1109\/5.24143","volume":"77","author":"T. Murata","year":"1989","unstructured":"Murata, T. 1989. Petri nets: Properties, analysis and applications. Proceedings of the IEEE 77(4): 541\u2014580.","journal-title":"Proceedings of the IEEE"},{"key":"5124356_CR9","first-page":"221\u2014239","volume":"6","author":"E. M. Proth","year":"1996","unstructured":"Proth, E. M., Sauer, N., Wardi, Y., and Xie, X. 1996. Marking optimization of stochastic timed event graphs using WA. Discrete Es'ent Dynamic Systems 6: 221\u2014239.","journal-title":"Discrete Es'ent Dynamic Systems"},{"issue":"3","key":"5124356_CR10","first-page":"298\u2014306","volume":"44","author":"J. M. Proth","year":"1997","unstructured":"Proth, J. M., Sauer, N., and Xie. X. 1997a. Optimization of the number of transportation devices in a flexible manufacturing system using event graphs. IEEE Traits, on Industrial Electronics 44(3): 298\u2014306.","journal-title":"IEEE Traits, on Industrial Electronics"},{"key":"5124356_CR11","unstructured":"Proth, J. M., and Xie, X. 1997b. Petri Nets: A tool for design and nianagement of manufacturing systems. John Wiley & Son (Ed.)."},{"key":"5124356_CR12","doi-asserted-by":"crossref","unstructured":"Silva, M. Ed Valette, R. 1989. Petri nets and flexible manufacturing. Advances in Petri Nets 1989. G. Rozenberg (ed.), Lecture Notes of Computer Science, Spnnger Verlag, pp. 374\u2014417.","DOI":"10.1007\/3-540-52494-0_38"},{"key":"5124356_CR13","doi-asserted-by":"crossref","unstructured":"Teruel. E., Chrzastowski. P., olom, E. M., and Silva. M. 1992. On Weighted T-Systems. Lecture Notes in Computer Science, 616, 13th International Conference on Applications and Theory of Petri Nets. Sheffield, 348\u2014367.","DOI":"10.1007\/3-540-55676-1_20"},{"key":"5124356_CR14","first-page":"1\u2014226","volume":"22","author":"C. Valentin","year":"1994","unstructured":"Valentin, C. 1994. Modeling and analysis methods for i class of hybnd dynamic systems. Proc. of Syniposiunim ADP-22294, Brussels, 22 1\u2014226.","journal-title":"Proc. of Syniposiunim ADP-22294"},{"key":"5124356_CR15","first-page":"158\u2014163","volume-title":"Proc. of the Seond European Control C'onference","author":"X. L. Xie","year":"1993","unstructured":"Xie, X. L. 1993. On the impact of randomness in production lines controlled by kanbans. Proc. of the Seond European Control C'onference, The Netherlands: Groningen, 158\u2014163."}],"container-title":["Discrete Event Dynamic Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1024055724914.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1024055724914\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1024055724914.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T04:18:55Z","timestamp":1753762735000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1024055724914"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,7]]}},"alternative-id":["5124356"],"URL":"https:\/\/doi.org\/10.1023\/a:1024055724914","relation":{},"ISSN":["0924-6703","1573-7594"],"issn-type":[{"value":"0924-6703","type":"print"},{"value":"1573-7594","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}