Mathematical Model of the Interpersonal Conflict on the Spacecraft during Long Mission
- Paper number
IAC-05-A1.P.13
- Author
Prof. Ludmila Prisniakova, Dnipropetrovsk Humanitarian University, Ukraine
- Year
2005
- Abstract
People various character traits, views and values are not capable to not conflict with each other, as a rule. The interpersonal conflict as collision of members of crew of a spacecraft is provoked by long flight, by conditions of the limited space, by distinct from terrestrial a gravitational field, by vibrations and other specific conditions in addition. Qualitative des-criptive consideration of interpersonal conflicts is well-known, but scientific ways of ma-nagement of they, search of opportunities of their avoiding is possible at presence of ma-thematical model of such process. Let’s consider, that all reasons and expression of conf-licts are determined by a quantity of the information which further we shall represent in a relative kind. Let standards of behaviour of the first and second cosmonauts (internal a position) are defined by amount of information I′ 1 and I′ 2 accordingly. Source of conflicts according to our model is non co-ordination of actions of the cosmonaut No.2, touching interests of the cosmonaut No.1 and is the entry in the contradiction with his internal posi-tion, expressed by the standard of behaviour I′ 1 . Let the characteristic of a conflictness of the cosmonaut No.1 with the cosmonaut No.2 is the relationship s 1/2 = I 2/1/ I′ 1=1/ p ( p – tolerance of the cosmonaut No.1, I 2/1 – information expression of actions of the cosmonaut No.2, touching interests of the cosmonaut No.1). The conflict is expressed by number of the open disagreements W 1 started by the cosmonaut No.1 as reaction to behaviour of the cosmonaut No.2. The common tension of conflict consists of the open conflicts W 1 and latent discon-tent W lt of the cosmonaut No.1 in relation to actions of the cosmonaut No.2. On the other hand, this conflict’s tension is in direct proportion to density of information contact of the first cosmonaut with the second ρ 1/2= t/ t Σ (the relationship of time of contact of cosmonauts among themselves by time of wakefulness), to conflictnesses of the first cosmonaut s 1/2, to his temperament mu 1, to time of flight tau, and in inverse proportion to relative volume of vital space V= V j / V′ ( V′ is the standard of volume of a workplace on the Earth), and to level of absence of conflict (1− s 1/2). We shall take some information expression of the common number of conflicts on spacecraft W Σ. for the normalized size. We shall accept also, that the latent conflictś tension is proportional to a conflictness of the first cosmonaut in power n: s 1/2 n . Aforesaid allows to work out the balance equation of a conflictś tension between two cosmonauts on the space ship in such kind (for n=2, taking into account the factor not become aware of of the latent discontent): (σ + a s 2)(1/ s −1)= R ρ 1/2 τ µ 1/ V= C ex , where σ = W 1/ W lt ; a is factor of secretiveness of the first cosmonaut; R is some factor of proporti-onality; s 1/2= s. We have received the equation for definition of the conflictś tension on a spacecraft between the first and the second cosmonaut. Its kind corresponds to catastrophe cusp, which allows to analyze quantitative influence of various magnitudes including temperament and character of the cosmonaut, various conditions of space flight on occurrence of disagree-ments in crew of the space vehicle. For example, the reduction of density of information contact of the first cosmonaut with the second on 10 % under initial magnitude C ex =1 has decreased C ex up to 0.9. Calculation shows the decreasing of conflictś tension on space vehicle up to 40-%, in this case. Thus the received equation enables to analyze quantitative influence of other parameters included in the given model.
- Abstract document
- Manuscript document
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