TY - JOUR AV - public Y1 - 2018/08/01/ EP - 10025 TI - Traveling Traders' Exchange Problem: Stochastic Modeling Framework and Two-Layer Model Identification Strategy KW - Travelling traders? exchange problem; collision-exchange system; Monte Carlo method; stochastic simulation PB - American Chemical Society N2 - 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. ID - discovery10047977 IS - 30 N1 - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions. SP - 10011 VL - 57 A1 - Huang, C A1 - Cattani, F A1 - Piccione, PM A1 - Galvanin, F JF - Industrial and Engineering Chemistry Research UR - https://doi.org/10.1021/acs.iecr.8b00338 SN - 0888-5885 ER -