Background: Health is an essential component of human rights and the rights are interdependent, indivisible, and correlated. The present study aimed at codifying a multidimensional health index according to multistage index development and describing the status of this index in 22 municipal districts of Tehran.   Methods: This study was conducted using the data collected in the second r...

In this article, a free-time impulsive control problem with state constraints and equality and inequality constraints on the trajectory endpoints is considered. A weakened maximum principle is obtained for problems with data measurable in the time variable, being the time transversality conditions deduced with the help of some extra convexity assumption on the state constraints. In the case of ...

We investigate the maximal non-critical cluster in a big box in various percolation-type models. We investigate its typical size, and the fluctuations around this typical size. The limit law of these fluctuations are related to maxima of independent random variable with law described by a single cluster. Key-words: Maximal clusters, exponential law, Gumbel distribution, FKG inequality, second m...

In this paper, a system of GIG/l/K queue is considered. The optimal system's capacity (K), when the system is optimized with respect to the benefit of the entire system (social optimization) and when the criterion for optimality is individual gains (individual optimization), is determined and compared. In social optimization, the system capacity is obtained through maximization of the syst...

Digraph panel data, corresponding to a given set of nodes and the directed graphs (digraphs) on the set of nodes which are observed at two or more discrete time points, are collected in the social sciences and other fields. Conventional models of digraph panel data assume that the data are discrete outcomes of a continuous-time Markov process on the set of possible digraphs defined on the set o...

For a variational inequality problem (VIP) with a psudomonotone mapping F on its solution set C∗, we give equivalent statements for C∗ to be determined by the zeroes Γ(c∗) of the primal gap function of VIP, where c∗ ∈ C∗. One sufficient condition is also presented in terms of weaker sharpness of C∗. With the psudomonotonicity∗ of F onC∗ being characterized, C∗ turns out to coincide with the zer...

Results are proven on an inequality in max algebra and applied to theorems on the diagonal similarity scaling of matrices. Thus the set of all solutions to several scaling problems is obtained. Also introduced is the “full term rank” scaling of a matrix to a matrix with prescribed row and column maxima with the additional requirement that all the maxima are attained at entries each from a diffe...

This paper addresses the allocation of indirect or joint costs among farm enterprises, and elaborates two maximum entropy models, the basic CoreModel and the InequalityModel, which additionally includes inequality restrictions in order to incorporate knowledge from production technology. Representing the indirect costing approach, both models address the individual-farm level and use standard c...