Abstract
In this paper, we present an approach allowing the prediction of ideas number during a brainstorming session. This prediction is based on two dynamic models of brainstorming, the non-cognitive and the cognitive models proposed by Brown and Paulus (Small Group Res 27(1):91–114, 1996). These models describe for each participant, the evolution of ideas number over time, and are formalized by differential equations. Through solution functions of these models, we propose to calculate the number of ideas of each participant on any time intervals and thus in the future (called prediction). To be able to compute solution functions, it is necessary to determine the parameters of these models. In our approach, we use optimization model for model parameters calculation in which solution functions are approximated by numerical methods. We developed two generic optimization models, one based on Euler’s and the other on the fourth order Runge–Kutta’s numerical methods for the solving of differential equations, and we apply them to the non-cognitive and respectively to the cognitive models. Through some feasibility tests, we show the adequacy of the proposed approach to our prediction context.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adla A, Zaraté P, Soubie JL (2011) A proposal of toolkit for GDSS facilitators. Group Decis Negot 20(1): 57–77
Ait-Haddou H, Camilleri G, Zaraté P (2010) Parameters calculation of brainstorming dynamic models. In: De Vreede GJ (ed) Group decision and negotiation (GDN). Center for Collaboration Science, pp 24–26
Borgatta EF, Bales RF (1953) Interaction of individuals in reconstituted groups. Sociometry 16(4): 302–320
Bostrom RP, Anson R, Clawson VK (1993) Group facilitation and group support systems. Group support systems: new perspectives, pp 146–168
Briggs RO, Kolfschoten GL, de Vreede GJ, Albrecht CC, Lukosch SG (2010) Facilitator in a box: computer assisted collaboration engineering and process support systems for rapid development of collaborative applications for high-value tasks. In: HICSS, IEEE Computer Society, pp 1–10
Briggs RO, Reinig BA (2010) Bounded ideation theory. J Manag Inf Syst 27(1): 123–144
Brown V, Paulus PB (1996) A simple dynamic model of social factors in group brainstorming. Small Group Res 27(1): 91–114
Brown VR, Paulus PB (2002) Making group brainstorming more effective: recommendations from an associative memory perspective. Curr Dir Psychol Sci 11(5): 208–212
Camacho LM, Paulus PB (1995) The role of social anxiousness in group brainstorming. J Pers Soc Psychol 68(6): 1071–1080
Camilleri G, Zaraté P (2009) Towards a dynamic estimation of collective decision-making meetings efficiency. In: Kilgour M, Wang Q (eds) Group decision and negotiation (GDN), Institute for Operations Research and the Management Sciences (INFORMS), pp 27–29
Coskun H (2005) Cognitive stimulation with convergent and divergent thinking exercises in brainwriting. Small Group Res 36(4): 466–498
Coskun H, Yilmaz O (2009) A new dynamical model of brainstorming: linear, nonlinear, continuous (simultaneous) and impulsive (sequential) cases. J Math Psychol 53(4): 253–264
de Vreede GJ, Vogel DR, Kolfschoten GL, Wien J (2003) Fifteen years of gss in the field: a comparison across time and national boundaries. In: HICSS, p 9
den Hengst M, Adkins M (2007) Which collaboration patterns are most challenging: a global survey of facilitators. In: HICSS, IEEE Computer Society, p 17
DeRosa DM, Smith CL, Hantula DA (2007) The medium matters: mining the long-promised merit of group interaction in creative idea generation tasks in a meta-analysis of the electronic group brainstorming literature. Comput Hum Behav 23(3):1549–1581. (Including the special issue: avoiding simplicity, confronting complexity: advances in designing powerful electronic learning environments)
DeSanctis G, Poole MS, Zigurs I (2008) The minnesota gdss research project: group support systems, group processes, and outcomes. J AIS 9(10): 551–608
Diehl M, Stroebe W (1987) Productivity loss in brainstorming groups: toward the solution of a riddle. J Pers Soc Psychol 53(3): 497–509
Diehl M, Stroebe W (1991) Productivity loss in idea-generating groups: tracking down the blocking effect. J Pers Soc Psychol 61(3): 392–403
Hayne SC (1999) The facilitators perspective on meetings and implications for group support systems design. DATA BASE 30(3–4): 72–91
Isaksen SG (1998) A review of brainstorming research: six critical issues for research. Monograph 302, Creative Problem Solving Group, Buffalo
Karau SJ, Williams KD (1993) Social loafing: a meta-analytic review and theoretical integration. J Pers Soc Psychol 65(4): 681–706
Limayem M (2006) Human versus automated facilitation in the gss context. SIGMIS Database 37(2–3): 156–166
Limayem M, DeSanctis G (2000) Providing decisional guidance for multicriteria decision making in groups. Inf Syst Res 11(4): 386–401
Macaulay LA, Alabdulkarim A (2005) Facilitation of e-meetings: State-of-the-art review. In: EEE, IEEE Computer Society, pp 728–735
Mullen B, Johnson C, Salas E (1991) Productivity loss in brainstorming groups: a meta-analytic integration. Basic Appl Soc Psychol 12(1): 3–23
Nijstad BA, Stroebe W, Lodewijkx HFM (2003) Production blocking and idea generation: does blocking interfere with cognitive processes?. J Exp Soc Psychol 39(6): 531–548
Nunamaker JF, Dennis AR, Valacich JS, Vogel D, George JF (1991) Electronic meeting systems. Commun ACM 34(7): 40–61
Nunamaker JF, Zhao JL, Briggs RO (2002) Intelligent workflow techniques for distributed group facilitation. In: HICSS, p 42
Osborn AF (1957) Applied imagination: principles and procedures of creative problem-solving. Charles Scribner’s Sons, New York
Oxley NL, Dzindolet MT, Paulus PB (1996) The effects of facilitators on the performance of brainstorming groups. J Soc Behav Pers 11: 633–646
Paulus PB, Dzindolet MT (1993) Social influence processes in group brainstorming. J Pers Soc Psychol 64(4): 575–586
Schwarz R (1994) The skilled facilitator. Jossey-Bass Publishers, San Francisco
Soller A, Martnez-Mons A, Jermann P, Muehlenbrock M (2005) From mirroring to guiding: a review of state of the art technology for supporting collaborative learning. I. J Artif Intell Educ 15(4): 261–290
Viller S (1991) The group facilitator: a cscw perspective. In: Bannon LJ, Robinson M, Schmidt K (eds) ECSCW. Kluwer, Dordrecht
Vivacqua A, Marques L, Ferreira M, de Souza J (2011) Computational indicators to assist meeting facilitation. Group Decis Negot 20: 667–684
Wong Z, Aiken MW (2003) Automated facilitation of electronic meetings. Inf Manag 41(2): 125–134
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haddou, H.A., Camilleri, G. & Zaraté, P. Prediction of Ideas Number During a Brainstorming Session. Group Decis Negot 23, 271–298 (2014). https://doi.org/10.1007/s10726-012-9312-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10726-012-9312-8