Non-homogeneous semi-Markov systems and maintainability of the state sizes

1992 ◽  
Vol 29 (3) ◽  
pp. 519-534 ◽  
Author(s):  
P.-C. G. Vassiliou ◽  
A. A. Papadopoulou
Keyword(s):  
Convex Set ◽  
Analytic Form ◽  
The State ◽  
Markov Systems ◽  
Markov System ◽  
Basic Parameters ◽  
Manpower System ◽  
Closed Analytic Form ◽  
First Time ◽  
Expected Duration

In this paper we introduce and define for the first time the concept of a non-homogeneous semi-Markov system (NHSMS). The problem of finding the expected population stucture is studied and a method is provided in order to find it in closed analytic form with the basic parameters of the system. Moreover, the problem of the expected duration structure in the state is studied. It is also proved that all maintainable expected duration structures by recruitment control belong to a convex set the vertices of which are specified. Finally an illustration is provided of the present results in a manpower system.

Non-homogeneous semi-Markov systems and maintainability of the state sizes

1992 ◽  
Vol 29 (03) ◽  
pp. 519-534 ◽  
Author(s):  
P.-C. G. Vassiliou ◽  
A. A. Papadopoulou
Keyword(s):  
Convex Set ◽  
Analytic Form ◽  
The State ◽  
Markov Systems ◽  
Markov System ◽  
Basic Parameters ◽  
Manpower System ◽  
Closed Analytic Form ◽  
First Time ◽  
Expected Duration

In this paper we introduce and define for the first time the concept of a non-homogeneous semi-Markov system (NHSMS). The problem of finding the expected population stucture is studied and a method is provided in order to find it in closed analytic form with the basic parameters of the system. Moreover, the problem of the expected duration structure in the state is studied. It is also proved that all maintainable expected duration structures by recruitment control belong to a convex set the vertices of which are specified. Finally an illustration is provided of the present results in a manpower system.

The non-homogeneous Markov system in a stochastic environment

1993 ◽  
Vol 30 (02) ◽  
pp. 285-301 ◽  
Author(s):  
N. Tsantas ◽  
P.-C. G. Vassiliou
Keyword(s):  
Population Structure ◽  
Stochastic Environment ◽  
Input Process ◽  
Relative State ◽  
Markov System ◽  
Basic Parameters ◽  
Manpower System ◽  
Relative Structure ◽  
First Time

We introduce and define for the first time the concept of a non-homogeneous Markov system in a stochastic environment (S-NHMS). The problem of finding the expected population structure in an S-NHMS is studied, and important properties among the basic parameters of the S-NHMS are established. Moreover, we study the problem of maintaining the relative sizes of the states in a stochastic environment applying control in the input process. Among other things, we provide the probability of maintaining any vector of relative state sizes. Also strategies for attaining in an optimal way a desired relative structure are designed, with the use of a given algorithm. Finally, an illustration is provided of the present results in a manpower system.

The non-homogeneous Markov system in a stochastic environment

1993 ◽  
Vol 30 (2) ◽  
pp. 285-301 ◽  
Author(s):  
N. Tsantas ◽  
P.-C. G. Vassiliou
Keyword(s):  
Population Structure ◽  
Stochastic Environment ◽  
Input Process ◽  
Relative State ◽  
Markov System ◽  
Basic Parameters ◽  
Manpower System ◽  
Relative Structure ◽  
First Time

We introduce and define for the first time the concept of a non-homogeneous Markov system in a stochastic environment (S-NHMS). The problem of finding the expected population structure in an S-NHMS is studied, and important properties among the basic parameters of the S-NHMS are established. Moreover, we study the problem of maintaining the relative sizes of the states in a stochastic environment applying control in the input process. Among other things, we provide the probability of maintaining any vector of relative state sizes. Also strategies for attaining in an optimal way a desired relative structure are designed, with the use of a given algorithm. Finally, an illustration is provided of the present results in a manpower system.

The size order of the state vector of discrete-time homogeneous Markov systems

2001 ◽  
Vol 38 (2) ◽  
pp. 357-368 ◽  
Author(s):  
I. Kipouridis ◽  
G. Tsaklidis
Keyword(s):  
Lower Bound ◽  
Discrete Time ◽  
State Vector ◽  
The State ◽  
Order Problem ◽  
Markov Systems ◽  
Markov System

The size order problem of the probability state vector elements of a homogeneous Markov system is examined. The time t0 is evaluated, after which the order of the state vector probabilities remains unchanged, and a formula to quickly find a lower bound for t0 is given. A formula for approximating the mode of the state sizes ni(t) as a function of the means Eni(t), and a relation to evaluate P(ni(t) = x+1) by means of certain terms which constitute P(ni(t) = x) are derived.

Asymptotic periodicity of the variances and covariances of the state sizes in non-homogeneous Markov systems

1988 ◽  
Vol 25 (1) ◽  
pp. 21-33 ◽  
Author(s):  
G. Tsaklidis ◽  
P.-C. G. Vassiliou
Keyword(s):  
Incidence Matrix ◽  
Stochastic Matrix ◽  
The State ◽  
Transition Matrices ◽  
Markov Systems ◽  
Stochastic Transition ◽  
Manpower System ◽  
Asymptotic Periodicity

In this paper we study the asymptotic periodicity of the sequence of means, variances and covariances of the state sizes of non-homogeneous Markov systems. It is proved that under the assumption that the sequence of the extended stochastic transition matrices converge to a matrix which is an irreducible stochastic matrix of period d, and all the matrices in this sequence have the same incidence matrix, then the sequence of means, variances and covariances splits into d subsequences which converge. Finally, we discuss the application of the present results in a manpower system.

Asymptotic periodicity of the variances and covariances of the state sizes in non-homogeneous Markov systems

1988 ◽  
Vol 25 (01) ◽  
pp. 21-33 ◽  
Author(s):  
G. Tsaklidis ◽  
P.-C. G. Vassiliou
Keyword(s):  
Incidence Matrix ◽  
Stochastic Matrix ◽  
The State ◽  
Transition Matrices ◽  
Markov Systems ◽  
Stochastic Transition ◽  
Manpower System ◽  
Asymptotic Periodicity

In this paper we study the asymptotic periodicity of the sequence of means, variances and covariances of the state sizes of non-homogeneous Markov systems. It is proved that under the assumption that the sequence of the extended stochastic transition matrices converge to a matrix which is an irreducible stochastic matrix of period d, and all the matrices in this sequence have the same incidence matrix, then the sequence of means, variances and covariances splits into d subsequences which converge. Finally, we discuss the application of the present results in a manpower system.

The size order of the state vector of discrete-time homogeneous Markov systems

2001 ◽  
Vol 38 (02) ◽  
pp. 357-368 ◽  
Author(s):  
I. Kipouridis ◽  
G. Tsaklidis
Keyword(s):  
Lower Bound ◽  
Discrete Time ◽  
State Vector ◽  
The State ◽  
Order Problem ◽  
Markov Systems ◽  
Markov System

The size order problem of the probability state vector elements of a homogeneous Markov system is examined. The time t 0 is evaluated, after which the order of the state vector probabilities remains unchanged, and a formula to quickly find a lower bound for t 0 is given. A formula for approximating the mode of the state sizes n i (t) as a function of the means En i (t), and a relation to evaluate P(n i (t) = x+1) by means of certain terms which constitute P(n i (t) = x) are derived.

Politični položaj na Slovenskem leta 1919

2020 ◽  
Vol 20 (2020) (2) ◽  
pp. 359-394
Author(s):  
Jurij Perovšek
Keyword(s):  
State Government ◽  
The State ◽  
The Political ◽  
Liberal Party ◽  
New Era ◽  
Party Organisation ◽  
Western Border ◽  
Historical Phenomenon ◽  
First Time ◽  
Similar Development

For Slovenes in the Kingdom of the Serbs, Croats and Slovenes the year 1919 represented the final step to a new political beginning. With the end of the united all-Slovene liberal party organisation and the formation of separate liberal parties, the political party life faced a new era. Similar development was showing also in the Marxist camp. The Catholic camp was united. For the first time, Slovenes from all political camps took part in the state government politics and parliament work. They faced the diminishing of the independence, which was gained in the State of Slovenes, Croats and Serbs, and the mutual fight for its preservation or abolition. This was the beginning of national-political separations in the later Yugoslav state. The year 1919 was characterized also by the establishment of the Slovene university and early occurrences of social discontent. A declaration about the new historical phenomenon – Bolshevism, had to be made. While the region of Prekmurje was integrated to the new state, the questions of the Western border and the situation with Carinthia were not resolved. For the Slovene history, the year 1919 presents a multi-transitional year.

Islamic and Jewish Religious Feminists Tackle Islamic and Jewish Oral Law: Maintenance and Rebellion of Wives

2017 ◽  
Vol 11 (1) ◽  
pp. 35-63
Author(s):  
Ruth Roded
Keyword(s):  
State Policy ◽  
Political System ◽  
Daily Life ◽  
The State ◽  
The Political ◽  
Jewish Law ◽  
Modern Times ◽  
Parallel Case ◽  
First Time

Beginning in the early 1970s, Jewish and Muslim feminists, tackled “oral law”—Mishna and Talmud, in Judaism, and the parallel Hadith and Fiqh in Islam, and several analogous methodologies were devised. A parallel case study of maintenance and rebellion of wives —mezonoteha, moredet al ba?ala; nafaqa al-mar?a and nush?z—in classical Jewish and Islamic oral law demonstrates similarities in content and discourse. Differences between the two, however, were found in the application of oral law to daily life, as reflected in “responsa”—piskei halacha and fatwas. In modern times, as the state became more involved in regulating maintenance and disobedience, and Jewish law was backed for the first time in history by a state, state policy and implementation were influenced by the political system and socioeconomic circumstances of the country. Despite their similar origin in oral law, maintenance and rebellion have divergent relevance to modern Jews and Muslims.

Mosses of the State Nature Reserve "Kurgalskiy" (Leningrad Region)

2019 ◽  
Vol 53 (2) ◽  
pp. 369-384
Author(s):  
G. Ya. Doroshina ◽  
E. G. Ginzburg ◽  
L. E. Kurbatova
Keyword(s):  
Protected Area ◽  
Nature Reserve ◽  
The State ◽  
Leningrad Region ◽  
Protected Species ◽  
State Nature Reserve ◽  
First Time ◽  
State Nature ◽  
Area Data

The paper provides the data on mosses of the State Nature Reserve ”Kurgalskiy” situated in the Kingisepp District of the Leningrad Region. The list includes 136 species. Among them Plagiothecium nemorale is new for the Leningrad Region, 83 species are recorded for the first time for the protected area, 12 species are protected in the region, Aulacomnium androgynum is protected in Russia. Of the protected species, Plagiothecium latebricola is recorded for the first time for the protected area. Data on habitats, substrates and frequency of every species are provided.

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