Four-dimensional representation and collision detection forpolytopic objects

An algorithm for detecting the collision of moving objects is presented. The algorithm applies to polyhedral objects that can be represented as convex hulls of finite number of vertices in two or three-dimensional space. This is then extended to a three or four-dimensional space (respectively) to represent the objects and their motion. Nonlinear programming techniques are then employed to detect possible interference. The algorithm detects in one step whether or not the objects will interfere during their motion which may involve pure translations or rotations or bot

Four-dimensional representation and collision detection for movingobjects

We consider the collision detection problem for general objects. A four-dimensional approach is proposed for this problem which detects exactly and in one-step when and where the earliest collision will occur between the objects. This is done by using four-dimensional sets to represent the objects in both space and time. The problem is then posed as a nonlinear programming problem. The algorithm can handle the case of a rigid body moving on a general path in 2 or 3 with simultaneous translation and rotation. Simulation results on some example problems are given, and show that the algorithm is superior to those available in the literatur

Four-dimensional representation and collision detection forpolytopic objects

An algorithm for detecting the collision of moving objects is presented. The algorithm applies to polyhedral objects that can be represented as convex hulls of finite number of vertices in two or three-dimensional space. This is then extended to a three or four-dimensional space (respectively) to represent the objects and their motion. Nonlinear programming techniques are then employed to detect possible interference. The algorithm detects in one step whether or not the objects will interfere during their motion which may involve pure translations or rotations or bot

Process Improvement By Variance Reduction For A Single Filling Operation With Rectifying Inspection

Recently, there has been a great interest in the economics of quality control. Process mean targeting is one of the quality control problems which has attracted many researchers. Many papers have been written on finding the optimal mean setting of the process, but very few papers have considered the value of variance reduction. In this paper, we consider a single filling operation with rectifying inspection. We study the effect of the variance on the process performance. We analyse the cost saving which results from reduction in the process variance. We also provide a numerical example

Process Improvement By Variance Reduction For A Single Filling Operation With Rectifying Inspection

Recently, there has been a great interest in the economics of quality control. Process mean targeting is one of the quality control problems which has attracted many researchers. Many papers have been written on finding the optimal mean setting of the process, but very few papers have considered the value of variance reduction. In this paper, we consider a single filling operation with rectifying inspection. We study the effect of the variance on the process performance. We analyse the cost saving which results from reduction in the process variance. We also provide a numerical example

Optimal Production Run For Processes With Constant And Random Drifts

In this paper, we consider a production process with a continuous drift in the mean of a quality characteristic of the product. We develop models for this problem in which we consider the drift to be either known in advance and constant, or occurs in a random fashion. We analyse the developed models and discuss the shape of the resulting cost function for one of the models which helps in obtaining a global solution of the problem. We suggest several schemes for solving the resulting models which give policies for optimal tool replacement. We also present some numerical examples. (C) 1998 Elsevier Science B.V. All rights reserved

Optimal Production Run For Processes With Constant And Random Drifts

In this paper, we consider a production process with a continuous drift in the mean of a quality characteristic of the product. We develop models for this problem in which we consider the drift to be either known in advance and constant, or occurs in a random fashion. We analyse the developed models and discuss the shape of the resulting cost function for one of the models which helps in obtaining a global solution of the problem. We suggest several schemes for solving the resulting models which give policies for optimal tool replacement. We also present some numerical examples. (C) 1998 Elsevier Science B.V. All rights reserved

Determination Of The Optimal Process Means And Production Cycles For Multistage Production Systems Subject To Process Deterioration

In this paper, a multistage manufacturing system is considered. Each stage consists of a process which is subject to random deterioration with time. A mathematical model is developed for this problem to minimize the cost of maintenance (process adjustments), quality, and penalties for unfulfilled demand for items. The model rinds optimal initial settings of the process means and optimal cycle lengths. A Hook and Jeeves search algorithm is used to optimize the model, and a numerical example is provided. Sensitivity analysis of the given model is presented. Finally, some suggestions for improving performance of the process are presented