eprintid: 10047977 rev_number: 24 eprint_status: archive userid: 608 dir: disk0/10/04/79/77 datestamp: 2018-05-10 12:20:47 lastmod: 2021-10-16 22:43:09 status_changed: 2018-05-10 12:20:47 type: article metadata_visibility: show creators_name: Huang, C creators_name: Cattani, F creators_name: Piccione, PM creators_name: Galvanin, F title: Traveling Traders' Exchange Problem: Stochastic Modeling Framework and Two-Layer Model Identification Strategy ispublished: pub divisions: UCL divisions: B04 divisions: C05 divisions: F43 keywords: Travelling traders’ exchange problem; collision-exchange system; Monte Carlo method; stochastic simulation note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. abstract: The Travelling Traders’ Exchange Problem (TTEP) is formalised, aiming at studying the collision-exchange systems found in various research areas. As an example of the TTEP models, a 1-D model is developed and characterised in detail. The computational stochastic simulation of the 1-D TTEP model relies on a stochastic simulation algorithm implemented based on the Monte Carlo method. A model identification framework is proposed where the money distribution in the system obtained from the stochastic model is characterised in terms of (a) standard deviation of the money redistribution; (b) its probability density function. Results indicate that the expressions of the estimated functions for (a) and (b) are tightly related to the system input conditions. The example of curve fitting on the probability density function shows how the variation of money redistribution in the system in time is driven by different values of the parameters describing the interaction mechanism. date: 2018-08-01 date_type: published publisher: American Chemical Society official_url: https://doi.org/10.1021/acs.iecr.8b00338 oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 1554076 doi: 10.1021/acs.iecr.8b00338 lyricists_name: Galvanin, Federico lyricists_name: Huang, Chunbing lyricists_id: FGALV19 lyricists_id: CHUAN46 actors_name: Galvanin, Federico actors_id: FGALV19 actors_role: owner full_text_status: public publication: Industrial and Engineering Chemistry Research volume: 57 number: 30 pagerange: 10011-10025 issn: 0888-5885 citation: Huang, C; Cattani, F; Piccione, PM; Galvanin, F; (2018) Traveling Traders' Exchange Problem: Stochastic Modeling Framework and Two-Layer Model Identification Strategy. Industrial and Engineering Chemistry Research , 57 (30) pp. 10011-10025. 10.1021/acs.iecr.8b00338 <https://doi.org/10.1021/acs.iecr.8b00338>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10047977/1/acs.iecr.8b00338.pdf