The working group performance modeled by a bi-layer cellular automaton

Abstract

The problem of ‘humans and work’ in a model working group is investigated by means of the cellular automata technique. The attitude of members of a group towards work is measured by an indicator of loyalty to the group (the number of agents who carry out their tasks) and lack of loyalty (the number of agents who give their tasks to other agents). Initially, all agents realize scheduled tasks one by one. Agents with the number of scheduled tasks larger than a given threshold change their strategy to an unloyal one and begin to avoid completing tasks by passing them to their colleagues. Optionally, in some conditions, we allow agents to return to the loyal state; hence the rule is hysteretic. Results are presented on an influence of (i) the density of tasks, (ii) the threshold number of tasks assigned to the agent, forcing him/her to change strategy on the system efficiency. We show that a ‘black’ scenario of the system stacking in a ‘jammed phase’ (with all agents preferring the unloyal strategy and having plenty of tasks scheduled for realization) may be avoided when return to loyalty is allowed and either (i) the number of agents chosen for task realization, (ii) the number of assigned tasks, (iii) the threshold value of assigned tasks that forces the agent to conversion from a loyal strategy to an unloyal one, or (iv) the threshold value of tasks assigned to an unloyal agent that forces him/her to task redistribution among his/her neighbors, are smartly chosen.

Keywords

social and economic systems social organizations anthropology complex systems structures and organization in complex systems

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References

Bicchieri

. The Grammar of Society: The Nature and Dynamics of Social Norms. Cambridge: Cambridge University Press, 2006.

Pereboom

. Living without Free Will. Cambridge: Cambridge University Press, 2001.

Edmonds

. The use of models—making MABS more informative. In: Moss

Davidson

(eds), Multi Agent Based Simulation 2000 (Lecture Notes in Artificial Intelligence, vol. 1979). Berlin: Springer, 2000, p. 15.

Edmonds

Meyer

(eds). Simulating Social Complexity. A Handbook. Berlin: Springer-Verlag, 2013.

Vichniac

. Simulating physics with cellular automata. Physica D 1984; 10: 96.

Alonso-Sanz

Martín

. Elementary cellular automata with memory. Complex Syst 2003; 14: 99.

Wolfram

. A New Kind of Science. Wolfram Media, Inc., 2002.

Gore

. Human performance: evaluating the cognitive aspects. In: Duffy

(ed.), Handbook of Digital Human Modeling. Taylor and Francis/CRC Press, 2008.

Gore

Hooey

Haan

Bakowski

Mahlstedt

. A methodical approach for developing valid human performance models of flight deck operations. In: Kurosu

(ed.), Human Centered Design (Lecture Notes in Computer Science, vol. 6776). Berlin: Springer, 2011, p. 379.

10.

Edmonds

. Context in social simulation: why it can’t be wished away. Comput Math Organ Theory 2012; 18: 5.

11.

Robbins

Coulter

Kotze

. Management. Ontario: Prentice-Hall Canada, 1997.

12.

Hegselmann

Flache

. Understanding complex social dynamics. JASSS—J Artif Soc S 1998; 3(1): 1.

13.

Hassan

Tucker

. Using cellular automata pedestrian flow statistics with heuristic search to automatically design spatial layout. In: 22nd IEEE international conference on tools with artificial intelligence, vol. 2, 2010, p. 32.

14.

Thirumaran

Dhavachelvan

Aishwarya

. Business workflow growth rate analysis using cellular automata. In: Proceedings of the 2nd international conference on computational science, engineering and information technology, 2012, p. 315.

15.

Bin

Zhang

. Cellular-automata based qualitative simulation for nonprofit group behavior. JASSS—J Artif Soc S 2006; 10(1): 1.

16.

Shengping

Bin

. Upgraded cellular automata based group-work interaction simulation. In: Henderson

Biller

Hsieh

M-H

Shortle

Tew

Barton

(eds), Proceedings of the 2007 winter simulation conference, 2007, p. 1207.

17.

Saravakos

Sirakoulis

GCh

. Modeling employees behavior in workplace dynamics. J Comput Sci 2014; 5: 821.

18.

Jennings

. Work stress and burnout among nurses: role of the work environment and working conditions. In: Hughes

(ed.), Patient Safety and Quality: An Evidence-Based Handbook for Nurses. Rockville, MD: Agency for Healthcare Research and Quality, 2008.

19.

McCarty

Zhao

Garland

. Occupational stress and burnout between male and female police officers—are there any gender differences? Policing 2007; 30: 672.

20.

Kerr

Park

. Group performance in collaborative and social dilemma tasks: progress and prospects. In: Hogg

Tindale

. (eds), Blackwell Handbook of Social Psychology: Group Processes. Malden, MA: Blackwell Publishing, 2003.

21.

Straffin

PhD

. Game Theory and Strategy. Washington, DC: The Mathematical Association of America, 1993.

22.

Wolfram

. Cellular Automata and Complexity. Reading, MA: Addison-Wesley Publishing Company, 1994.

23.

Ilachinski

. Cellular Automata. A Discrete Universe. Singapore: World Scientific, 2001.

24.

Chopard

Droz

. Cellular Automata Modelling of Physical Systems. Cambridge: Cambridge University Press, 1998.

25.

Tang

Bak

. Mean field theory of self-organized critical phenomena. J Stat Phys 1988; 51: 797.

26.

Bagnoli

Boccara

Rechtman

. Nature of phase transitions in a probabilistic cellular automaton with two absorbing states. Phys Rev E 2001; 63: 046116.

27.

Coyle

. Management System Dynamics. Chichester: Wiley, 1977.

28.

Edmonds

. The impossibility of social simulations. ESSA Summer School, 2011.

29.

Babbie

. The Basics of Social Research, 3rd edition. Belmont, MA: Wadsworth Publishing, 2005.

30.

Andrighetto

Villatoro

Conte

. Norm dynamics within the mind. In: Xenitidou

Edmonds

(eds), The Complexity of Social Norms (Computational Social Sciences). Basel: Springer, 2014, p. 141.

31.

Hodas

Lerman

. The simple rules of social contagion. Sci Rep 2014; 4: 4343.

32.

Bak

Tang

Wiesenfeld

. Self-organized criticality: an explanation of 1/f noise. Phys Rev Lett 1987; 59: 381.

33.

Bak

. How Nature Works: The Science of Self-Organized Criticality. New York: Copernicus, 1996.

34.

Barabási

A-L

. The origin of bursts and heavy tails in human dynamics. Nature 2005; 435: 207.