In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in highly re-entrant manufacturing system. By using suitable Lyapunov function, prove sufficient necessary conditions on ISS. We propose numerical discretization the error. A discrete function is analyzed to provide ISS proposed approximatio...

This paper presents makespan algorithms and scheduling heuristic for an Internet-based collaborative design and manufacturing process using bottleneck approach. The collaborative manufacturing process resembles a permutation re-entrant flow shop environment with four machines executing the process routing of M1,M2,M3,M4,M3,M4 in which the combination of the last three processes of M4,M3,M4 has ...

-Re-entrant lines are a class of non-traditional queueing network models that are congenial for the modeling of manufacturing systems with distinct multiple visits to work centers. Analyzing the performance of scheduling policies in re-entrant lines is a problem of significant research interest. Reentrant lines are non-product form owing to priority scheduling, and all the existing performance ...

In this paper a mathematical framework of the control theory of manufacturing systems is proposed. All possible plant structures are classiied. A mathematical dynamical model which describes the dynamics of a plant is developed. With the help of this model it is shown how the real time control policy which guarantees the stable work of the plant with the quasi-maximal production rate can be des...

Queue changes associated with each step of a manufacturing system are modeled by constant vector 6elds (8uid model of a queueing network). Observing these vector 6elds at 6xed events reduces them to a set of piecewise linear maps. It is proved that these maps show only periodic or eventually periodic orbits. An algorithm to determine the period of the orbits is presented. The dependence of the ...

Typical semiconductor production is re-entrant and hence requires priority decisions when parts compete for production capacity at the same machine. A standard way to run such a factory is to start to plan and to finish according to demand. Often this results in a push policy where early production steps have priority over later production steps at the beginning of the production line and a pul...

We study the problem of optimal feedback switching control of two-server re-entrant manufacturing network with nozero setup times introduced by Kumar and Seidman. The optimal steadystate (periodic) behavior is determined for the system in the analytical form. A simple feedback switching control law is proposed under which the process in the system converges to the optimal steady state behavior ...

In this contribution the optimal boundary control problem for a first order nonlinear, nonlocal hyperbolic pde is studied. Motivated by various applications ranging from re-entrant manufacturing systems to particle synthesis processes, we establish the regularity of solutions for W 1,p–data. Based on a general L2 tracking type cost functional, the existence, uniqueness, and regularity of the ad...

Protection of critical infrastructure in an urban environment is a challenging task, specifically against the vehicle bourne improvised explosive device threat. To design to withstand this evolving threat, novel solutions and advanced materials need be developed. One such material interest are auxetics. This study experimentally analysed mitigation blast response auxetic re-entrant honeycomb st...