eprintid: 4633 rev_number: 5 eprint_status: archive userid: 351 dir: disk0/00/00/46/33 datestamp: 2016-01-15 02:06:42 lastmod: 2021-08-27 17:15:26 status_changed: 2016-01-15 02:06:42 type: article metadata_visibility: show item_issues_count: 1 creators_name: Feichtinger, G. creators_id: 1555 title: Chaos theory in operations research ispublished: pub internal_subjects: iis_sys internal_subjects: iis_mod internal_subjects: iis_pop divisions: prog_pop keywords: Non-linear dynamical systems; Chaos; Endogenous fluctuations; Periodic and aperiodic oscillations; Dynamic optimisation; Complex solutions abstract: The purpose of this paper is to illustrate the potential importance of non-linear dynamical systems theory in OR. After a brief introduction into some basic concepts. We study an advertising diffusion model to exemplify the composition of chaos and optimalily in dynamic programming. It turns out that economies of scale may imply period three cycle and consequently topological chaos. Furthermore, we present an outlook to further potential applications of non-linear dynamical systems in OR/MS queing systems are briefly discussed whose random coding fluctuations are endogenously generated in a pure deterministic framework. Among the various paradigms favouring complex behaviour are dynamic strategic interactions, slow-fast systems, and cellular automata. date: 1996-01 date_type: published publisher: John Wiley & Sons, Ltd id_number: 10.1016/0969-6016(96)00025-1 iiasapubid: XJ-96-073 iiasa_bibnotes: [doi:10.1016/0969-6016(96)00025-1] creators_browse_id: 2589 full_text_status: none publication: International Transactions in Operations Research volume: 3 number: 1 pagerange: 23-36 refereed: TRUE issn: 0969-6016 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/article citation: Feichtinger, G. (1996). Chaos theory in operations research. International Transactions in Operations Research 3 (1) 23-36. 10.1016/0969-6016(96)00025-1 .