Scheduling tirage champagne production

Linear programming models for the scheduling of tirage champagne production are presented. The basic model demonstrates that cyclic schedules which reduce the average holdings of both maturation and finished product stock can be determined. Reduced costs associated with tirage bottle rewashing indicate that this is not an economic strategy. A common maturation stock model is presented as an option for future potential earnings

Scheduling in the manufacture of evaporative air conditioners

The MISG examined the problem of scheduling production of air conditioners at Seeley International. Seeley's objective was to meet their demand in a more cost-effective way. Two models are proposed to achieve this objective. A long term master production schedule with a yearly planning horizon was formulated to give Seeley a broad based schedule for planning production to meet forecast demands and production constraints. Output from this model is designed to provide the appropriate number of units of each product type or sub-assembly item to be produced in the following week. This output is then designed to be the input to a more detailed short term model for scheduling production at the machine level. The short term model is formulated to handle a mixture of both finished products and sub-assemblies. The objective of the short term model is to minimise total production time to free up the use of resources in order to allow for external orders. Directions for further work are discussed

Optimisation of work flow

AeroSpace Technologies of Australia (ASTA) is a supplier of aircraft components for several of the world's major aircraft manufacturers. Its anticipation of a substantial increase in demand has led to concern as to its ability to satisfy customer imposed schedules. ASTA's main concern is scheduling at its five autoclaves. The autoclaves, which are large pressurised ovens in which components are cured before non destructive testing and final assembly, appear to be the bottlenecks in ASTA's manufacturing process. ASTA came to the Australian Mathematics-in-Industry Study Group (MISG) with the objective of developing an optimised loading plan for the autoclaves to improve their utilisation while meeting demand for final components. This report discusses the results of an intensive three day study by the MISG group working on the ASTA problem. Its findings were that: • Modifying the way in which Materials Requirements Planning (MRP) is used may usefully increase autoclave utilisation. • A single product which will account for 60% of factory hours could and should be scheduled separately. • It is feasible and very helpful to group products into a small number of sets with common autoclave processing requirements. • Integer programming models modelling the production line show considerable promise and should be developed further

The application of cellular automata to weather radar

A possible cellular automaton approach to weather (and in particular rainfall) modelling is considered. After posing a paradigm problem in a manner reminiscent of a numerical PDE solver and showing that the general approach appears to be valid, we consider some more detailed modelling and comment on how this could be used to construct a genuine finite-state cellular automaton

Study of nonequilibrium two-phase flow of a gas-particle mixture Technical note no. 2

Two-phase nonequilibrium flow of particle suspensions in gaseous mediu

Personnel shift assignment: Existence conditions and network models

The personnel scheduling problem is known to be a five-stage process in which the final stage involves the assignment of shifts to the days worked in the schedule. This paper discusses the existence conditions for both continuous and forward rotating shift assignments and heuristic network algorithms for the determination of such assignments. Results generated for a number of test problems demonstrate, first, that the network devised to search for continuous solutions produces these solutions in a high proportion of cases where such solutions are known to exist. Second, for more general problems, the algorithm is shown to be efficient in its ability to generate either continuous or rotating solutions

Experimental study of a vortex subjected to imposed strain

An experimental project was undertaken to investigate the character of vortex breakdown with particular regard to the waveguide theories of vortex breakdown. A rectangular wing based on the NACA 0012 airfoil was used to produce a trailing vortex which convected downstream without undergoing breakdown. Dye marked the vortex location. A disturbance was then introduced onto the vortex using a small moving wire to 'cut' the vortex. The development of upstream and downstream propagating disturbance waves was observed and the propagation velocities measured. The downstream traveling wave produced a structure similar in appearance to a vortex breakdown. The upstream wave produced a moving, swirling, turbulent region that was not a vortex breakdown. The waves moving in either direction have the same swirl velocity profiles but quite different axial velocity profiles. The upstream disturbance (turbulence) moved into a flow with an axial velocity profile that had a wake-like defect in the core region. The downstream moving vortex breakdown moved into a flow with a jet-like overshoot in the core region. The fact that no breakdown was observed for the wake-like defect and breakdown was observed for the jet-like overshoot is not consistent with computational fluid dynamics (CFD) calculations. Although there are not a lot of examples, CFD results show breakdown for both types of profiles. The longitudinal and swirl velocity profiles were documented by Laser Doppler Velocimeter (LDV) measurement. Wave velocities, swirl angles, and swirl parameters are reported

The Panton, Leslie Papers

These letters are in continuation of the series of surviving records of Panton, Leslie & Co. the publication of which has been continuous in the Quarterly. They are in the possession of Mrs. John W. Greenslade who has transcribed them

Ball And Ramp, How Far Can You Move It?

Using Interactive Physics 4 eighth grade students explored the question “What are the best combination of variables to move a 2 kilogram mass 20 meters?” This was the first introduction for these students to this program. As part of the NYS 8th grade Performance Test students must run an experiment using a golf ball and ramp to move a cup. They have to run 3 trials by rolling the golf ball down a ramp from a 25 cm release point. They then record the distance the cup was moved. On the Performance Test they are instructed to use the distance recorded to show a general pattern of movement and explain why this pattern could be observed. They are then asked to extrapolate this data to other variables that may effect movement. This Interactive Physics exercise was used to help students prepare for this Performance Test. It allowed students to explore several variables over a short period of time. It allowed students to manipulate variables of their choice. Interactive Physics allowed students to track and explain the patterns that resulted from their chosen manipulated variable. After participating in this activity these students expressed an interest in sharing this experience with other students. They also indicated they would like to work with Interactive Physics on a more regular basis. As all four students said “When can we do this again?

Pro-Slavery Rhetoric in the Constitution

Prior to the Thirteenth Amendment, the United States Constitution did not merely allow slavery: the document protected slavery. At the time of the Declaration of Independence in 1776, the Continental Congress vigorously debated the “peculiar institution” of slavery. The lofty ideals of the Declaration proclaimed the “inalienable rights, including life, liberty, and the pursuit of happiness.” By the time the Constitution was adopted in 1789, the delegates all but abandoned such lofty goals to set forth an administrative guide for government. The Constitution was a pro-slavery document because of the ⅗ clause and it enabled slavery