in this study, a two-objective mixed-integer linear programming model (milp) for multi-product re-entrant flow shop scheduling problem has been designed. as a result, two objectives are considered. one of them is maximization of the production rate and the other is the minimization of processing time. the system has m stations and can process several products in a moment. the re-entrant flow sho...

Re-entrant manufacturing systems differ from traditional manufacturing systems in the sense that a job may visit a service station more than once, at various stages of the product development cycle. Several parts at different stages of processing may be in contention for service at the same machine, which gives rise to the need to solve scheduling problems. This document surveys some of the fac...

Modern semiconductor wafer fabrication facilities need to run at high levels of utilization in order to absorb the huge investments made in facilities and equipment. Simultaneously these facilities desire to minimize the cycle times of products in the factory for a variety of reasons including improved customer response, increased yield, and support of product development efforts. However, prob...

A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous density of items on a production process. The mathematic model is a typical nonlinear and nonlocal PDE and the cycle time depends nonlinearly on the work in pr...

Inspection stations are now an integral part of any manufacturing system and help track product quality and process performance. I n this paper we consider re-entrant manufacturing systems (such as semiconductor fabrication facilities) with inspections at various stages of processing. At the end of each inspect ion, three possibilities are assumed, namely accept, reject, or rework at some previ...

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity that models a highly re-entrant manufacturing system as encountered in semiconductor production. By spectral analysis, we obtain a complete result on the exponential stabilization for the linearized control system. Moreover, by using a Lyapunov function approach, we also prove the ex...

The Internet provides an unprecedented capability for sellers to learn about their customers and offer custom products at special prices. Advanced manufacturing technologies have improved sellers’ manufacturing flexibility. To examine how these advances affect sellers’ products and pricing, we first develop a model of product customization and flexible pricing to incorporate the salient roles o...

In this paper, we describe a content language for a hierarchically organized production control system in semiconductor manufacturing. The semiconductor manufacturing domain is characterized by re-entrant product flows, sequence-dependent setup-times, prescribed due-dates, a diverse product mix, a mix of different process types including batch processes and preventive maintenance issues caused ...

Re{entrant lines are manufacturing systems where parts may return more than once to the same machine, for repeated stages of processing. Examples of such systems are semiconductor manufacturing plants. We consider the problems of scheduling such systems to reduce manufacturing lead times, variations in the manufacturing lead times, or holding costs. We assume a deterministic model, which allows...