The transfer functions of discrete-time SISO compartmental systems whose compartments are connect... more The transfer functions of discrete-time SISO compartmental systems whose compartments are connected either in series or in parallel are characterized, and then the corresponding realization problem is studied. The obtained results are extended to the transfer matrix of Nperiodic compartmental systems.
International Journal of Reliability, Quality and Safety Engineering, 2006
ABSTRACT This paper proposes a new reliability model, circular consecutive 2-out-of-(r,r)-from-(n... more ABSTRACT This paper proposes a new reliability model, circular consecutive 2-out-of-(r,r)-from-(n,n):F model. In this model, the system consists of a square grid of side n (containing of n2 components) such that the system fails if and only if there is at least one square of side r which includes among them at least two failed components. For i.i.d. case an algorithm is given for computing the reliability of circular system. The reliability function can be expressed by the number of 0–1 matrices having no two or more 0s at any square of side r.
International Journal of Mathematical Education in Science and Technology, 2006
Adopting a discrete-time cohort-type model to represent the dynamics of a population, the problem... more Adopting a discrete-time cohort-type model to represent the dynamics of a population, the problem of achieving a desired total size of the population under a balanced growth (contraction) and the problem of maintaining the desired size, once achieved, are studied. ...
Abstract This paper reports recent results in controllability theory for a class of positive line... more Abstract This paper reports recent results in controllability theory for a class of positive linear discrete-time systems which were employed to examine and analyse the reachability and controllability properties of cohort-type population models representing the dynamics of ...
One of the most important concepts in production planning is that of the establishment of an over... more One of the most important concepts in production planning is that of the establishment of an overall or aggregate production plan. In this paper, the problem of establishing an aggregate production plan for a manufacturing plant is considered. A new dynamic discrete-time model of capacity planning utilizing concepts arising in positive linear systems (PLS) theory is proposed and its controllability property is analyzed. Controllability is a fundamental property of the system with direct implications not only in dynamic optimization problems (such as those arising in inventory and production control) but also in feedback control problems. Some new open problems regarding controllability of stationary and nonstationary PLS with linear constraints are posed in the paper. An optimal control problem for capacity planning is formulated and discussed.
The transfer functions of discrete-time SISO compartmental systems whose compartments are connect... more The transfer functions of discrete-time SISO compartmental systems whose compartments are connected either in series or in parallel are characterized, and then the corresponding realization problem is studied. The obtained results are extended to the transfer matrix of Nperiodic compartmental systems.
International Journal of Reliability, Quality and Safety Engineering, 2006
ABSTRACT This paper proposes a new reliability model, circular consecutive 2-out-of-(r,r)-from-(n... more ABSTRACT This paper proposes a new reliability model, circular consecutive 2-out-of-(r,r)-from-(n,n):F model. In this model, the system consists of a square grid of side n (containing of n2 components) such that the system fails if and only if there is at least one square of side r which includes among them at least two failed components. For i.i.d. case an algorithm is given for computing the reliability of circular system. The reliability function can be expressed by the number of 0–1 matrices having no two or more 0s at any square of side r.
International Journal of Mathematical Education in Science and Technology, 2006
Adopting a discrete-time cohort-type model to represent the dynamics of a population, the problem... more Adopting a discrete-time cohort-type model to represent the dynamics of a population, the problem of achieving a desired total size of the population under a balanced growth (contraction) and the problem of maintaining the desired size, once achieved, are studied. ...
Abstract This paper reports recent results in controllability theory for a class of positive line... more Abstract This paper reports recent results in controllability theory for a class of positive linear discrete-time systems which were employed to examine and analyse the reachability and controllability properties of cohort-type population models representing the dynamics of ...
One of the most important concepts in production planning is that of the establishment of an over... more One of the most important concepts in production planning is that of the establishment of an overall or aggregate production plan. In this paper, the problem of establishing an aggregate production plan for a manufacturing plant is considered. A new dynamic discrete-time model of capacity planning utilizing concepts arising in positive linear systems (PLS) theory is proposed and its controllability property is analyzed. Controllability is a fundamental property of the system with direct implications not only in dynamic optimization problems (such as those arising in inventory and production control) but also in feedback control problems. Some new open problems regarding controllability of stationary and nonstationary PLS with linear constraints are posed in the paper. An optimal control problem for capacity planning is formulated and discussed.
Uploads
Papers by Ventsi Rumchev