The managerial decisions making tasks in human capital reproduction complex systems are solved on the basis of models built experimental data. It is problematic to take into account all factors affecting reproduction. Existing approaches not focused building for with incomplete information. Algorithms inductive modeling developed characteristics functional description. software implement propos...

An anonymous ring network is a ring where all processors (vertices) are totally indistinguishable except for their input value. Initially, to each vertex of the ring is associated a value from a totally ordered set; thus, forming a multiset. In this paper we consider the problem of sorting such a distributed multiset and we investigate its relationship with the election problem. We focus on the...

We adopt the following convention: x, y are arbitrary, X, Y , Z are sets, and n is a natural number. We now define two new constructions. Let D be a nonempty set, and let d be an element of D. Then {d} is a non-empty subset of D. Let D be a non-empty set, and let X1, X2 be subsets of D. Then X1 ∪X2 is a subset of D. Let D be a non-empty set, and let X1 be a subset of D, and let X2 be a non-empt...

Abstract We study the number of ordered k -partitions a multiset with equal sums, having elements $$\alpha _1,\ldots ,\alpha _n$$ α 1 , … n and multiplicities $$m_1,\ldots ,m_n$$ m</mml:mi...

The Li–Wan sieve [11] is extended to multisets when the underlying set symmetric. main ingredient of proof Möbius inversion formula on poset partitions {1,2,…,k} ordered by refinement. As illustrative applications, we investigate problems over finite fields and zero-sum additive group Z/nZ.

We present a simple stochastic rule-based approach to multilevel modelling for computational systems biology. Populations are modelled using multilevel multisets; these contain both species and agents, with the latter possibly containing further such multisets. Rules are pairs of such multisets, but now allowing variables to occur (as well as species and agents), together with an associated sto...

The study of P systems as a mathematical model for biological systems is an important research topic in the area of membrane computing. In this respect, the detection of periodicity and almost periodicity as aspects of the system dynamics seems to be of particular relevance for understanding many biological processes and their related phenomena. This paper introduces specific notions of periodi...

This paper characterizes the computational complexity of nonrecursive queries in logic databases with complex values. Queries are represented by Horn clause logic programs. Complex values are represented by terms in equational theories ( nite sets and multisets are examples of such complex values). We show that the problem of whether a query has a nonempty answer is NEXP-hard for nonrecursive r...