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By Stanley V. Lachmansingh

Bauxite can be regarded as a mixture of hydrated aluminium oxides the predominant constituent - and oxides of iron and titanium, silica and silicates. Heterogeneous and non-crystaline, most bauxites vary in average composition from one deposit to another both in terns of impurities as well as the proportion of Gibbsita and the Monohydrates Diaspore and Boehmite. Iron levels (as Fe2O3) can vary from less than 1% to as high as 30% with the alumina content ranging from 40 to 6o%,. Gore than 90% of all bauxite mined in Guyana is used as feed for the - production of refractory grade calcined bauxite. There are -however, several speciality grades used in various industrial applications and these are characterised by the quality of the bauxite in particular ;,with regards to iron and silica levels which generally have to be low. The main speciality grades are designated Refractory, Abrasive and Chemical. Bauxitte is also used in the production of nigh alumina cements,, activated bauxite end in the manufacture of electrical insulators.

Jan 1, 1977

By DeVerle Harris

The enthusiasm with which individuals have participated in mineral exploration in the development of this country testifies to the fact that there was once a very real probability of making a worthwhile discovery. Over the years, the discovery and subsequent exploitation of the accessible ore deposits have made the finding of new deposits progressively more difficult. Present day mineral exploration has evolved from the lone prospector with the grubstaker behind him to a very costly and complex business, involving large sums of money and a staff of experts in the fields of exploration technology. Exploration today must be carried out on a large scale to be profitable. With the involvement of large amounts of capital, there has been a good deal of interest in methods of optimization of the allocation of the resources of a firm 'engaged in mineral exploration. As a step toward this, mathematical models have been formulated which are designed to quantify those variables of mineral exploration in such a manner that they can be integrated with all phases of the firms operations so as to optimize its profit objective or more simply, to make exploration more efficient and effective.

Jan 1, 1964

By Donald P. Moore

During April 1967 a Frasch sulfur mine was placed in operation near Fort Stockton, Pecos County, in West Texas. This was the first Frasch mine to recover native sulfur from a deposit not associated with the caprock of a salt dome. Since 1967 two additional mines have been opened in west Texas, another one near the first at Fort Stockton and a third one near Orla in Culberson County (Figure 2). Recoverable reserves at the Culberson County mine are estimated to be 57,000,000 long tons of native sulfur (Zimmerman and Thomas, 1969). Total recoverable reserves at the three mines probably exceed 60,000,000 long tons, Studies of the geochemical cycle of native sulfur mineralization in test Texas indicate an origin similar to the deposits on salt domes although the geologic framework is different. A comparison of the geologic setting of the west Texas deposits with the deposits in the Union of Soviet Socialist Republics as reported in the literature, reveals many similarities. ACKNOWLEDGEMENTS The writer wishes to express his appreciation to Cities Service Minerals Corporation for support throughout this study. Special thanks are due Dr. Chris Riecken and Mr. Dave Hardy for their

Jan 1, 1971

By James R. Piper

Cumulophyric feldspars, of varying morphology, carry myrmekitic quartz interstitially between microperthitic feldspar lamellae. The size, coarseness, and morphology of these crystals, together with concordant foliation features constitutes evidence that they are a product of primary crystallization, formed prior to eruption from a vent. These crystals occur preferentially along 2 - 5 mm thick tan, vesicular to compressed alteration bands intercalated with more densely welded light grey bands. In perlite with quartz at or below a 0.1% threshold, megascopic feldspars are less than 1%. Perlite with quartz above this level has megascopic feldspar concentrations >3%, typically in the 5-20% range.

Jan 1, 1991

By Peter J. Rafferty, Friedrich Steinhäusler

INTRODUCTION The Nuclear Energy Agency plays an active role in promoting international cooperation among its member countries in the field of nuclear energy. In addition to various other functions, it plays a major role in encouraging harmonisation of government regulatory policies and practices, promoting exchange of information, and coordination of research and development in the field of radiological health and safety associated with nuclear fuel cycle activities. The work of the Agency is carried out through a number of specialised standing committees. In particular, the Committee on Radiation Protection and Public Health (CRPPH) is responsible for the Agency's activities concerned with radiological protection and related environmental problems. Its functions include review and discussion of national radiation protection policies and practices, review of developments in radiological protection, interpretation of ICRP recommendations and the study of the means of their translation into practical applications, including the establishment of radiological protection standards. Its functions also include the preparation of technical studies and reviews on specific problems requiring attention, and coordination of further research and development at the international level. Major attention is presently being given to the NEA programme of work on problems associated with radiation protection and environmental impact of nuclear fuel cycle activities, with particular attention to the front-end (uranium mining and milling) and the back-end (waste management) of the fuel cycle. In this context, the increasing attention that has been given in several countries to the problems associated with the exposure of man to radon, thoron and their daughters, and with their dosimetry and measurement, were readily appreciated by NEA, which began an active programme of work in this field in 1976. Because of the detrimental health effects,as demonstrated by epidemiological studies,caused by prolonged exposure to excessive levels of shortlived daughters of radon, particularly in poorly ventilated underground mines, the bulk of attention and needed effort has been focussed on radon and radon daughters in uranium mining. In certain countries some concern has been expressed also about the significant levels of exposure experienced by workers in non-uranium mines,and members of the public who live in particular areas or in dwellings built with particular materials which produce higher than average levels of radon and radon daughters. However, at the time of the first NEA involvement in this field it was considered that one of the most urgent problems to be solved was that of ensuring adequate personal dosimetry for uranium miners. Consequently, the NEA was urged to organise a specialist meeting on personal dosimetry and area monitoring for radon and radon daughters to provide an international forum for exchanging information and reviewing problems in this field. The meeting was held in Elliot Lake, Canada, in October 1976. A second specialist meeting, on the same subject, was held in Paris, in November 1978, to review further developments in this area. These meetings demonstrated that the overall problem associated with exposure to radon and radon daughters had many facets, each of which in recent years has been the subject of considerable attention in many countries for different reasons. It emerged from the meetings that further work was required on a variety of issues in two main areas: 1) dosimetry 2) metrology and monitoring. Conclusions and recommendations which emerged from the two NEA specialist meetings were discussed by the CRPPH. As a consequence the Committee approved, in September 1979, a detailed programme of work in the area of dosimetry and monitoring of radon, thoron and their daughters, and approved the setting up of an international Group of Experts on Radon Dosimetry and Monitoring to undertake the work. The work has been divided into two phases - phase I, on dosimetric aspects, and phase II, on metrology and monitoring aspects. The terms of reference of the work are given in Appendix 1. A list of national representatives on the Group of Experts on Radon Dosimetry and Monitoring is given in Appendix 2; many of these persons are participating here in the Conference. The Group of Experts met for the first time in April 1980 and met again in September 1981. The work of phase I is nearing completion and a report is expected to be submitted soon to the CRPPH for its consideration. Three technical papers providing interim information on the study appear elsewhere in the proceedings of this Conference. The papers cover the three principle areas examined in the study so far: 1) dosimetric aspects 2) review of the "working level" 3) review of objectives and requirements for measurement and monitoring of radon, thoron and daughters. The authors, their affiliations, and the titles of these papers are listed in Appendix 3. A brief overview follows giving the principal results.

Jan 1, 1981

By S. Rideout

The United States Department of the Interior's Office of Surface Mining (OSM) is responsible for regulating active coal mining and reclaiming abandoned coal mines in the United States. In working with the State government agencies that implement these programs, OSM is building a new approach that moves away from traditional "command and control" regulation and towards an approach that focuses on providing long-term environmental and economic sustainability on lands disturbed by coal mining. This initiative called "Reclaim the Future!" looks to enhance opportunities for economic development, wildlife preservation and enhancement, reforestation, and other beneficial and productive uses of lands disturbed by coal mining. The initiative is also focused on ensuring that the landowners and the local public have significant involvement in determining how best to reclaim mine sites and what post-mining land uses are most appropriate for each individual abandoned mine reclamation project or active mine reclamation. Through the use of the best scientific input in an open, participatory process, OSM hopes to further sustainable development principles for coal mining within the framework of existing United States law.

Jan 1, 2007

By William A. Vogely, Robert T. Deacon, Walter J. Mead

Oil and gas together are the most important energy sources consumed in the United States. In 1983, 67% of total energy consumption was represented by these two resources (43% was oil and 25% natural gas), while coal accounted for only 23% of U.S. energy use. All other sources (hydroelectric, nuclear, geothermal, wood and other waste products) accounted for only 10% (U.S. Department of Energy, 1983, p. 1). In this chapter we address the issue of regulation in the oil and natural gas sectors of the U.S. energy industry. In addition, we analyze the cartel characteristics of the Organization of Petroleum Exporting Countries (OPEC). If OPEC is an effective cartel, then U.S. oil as well as substitute energy prices, production, and consumption will be affected by cartel action. Further, as the nation learned in the 1970s, major changes in oil prices produced major disturbances in other sectors of the U.S. and world economies. Consequently, it is important to determine whether the roughly ten-fold increase in nominal prices that occurred in the 1970s was the result of cartel action, the result of normal economic forces adjusting to the fact that the world was running out of cheap oil, or some combination of the two. Furthermore, the presence of OPEC- associated oil price increases is related to regulations that were imposed on the energy sector during the decade of the 70s. THE RATIONALE FOR GOVERNMENT INTERVENTION Economists have traditionally judged the state of an economy to be efficient if it is impossible to improve the welfare of any one member of society without harming someone else. Any economy that satisfies this condition is said to be Pareto efficient, after the Italian economist Vilfredo Pareto who first gave rigorous attention to such questions (see Chapter 4.10). It is easy to see why an economy that fails to satisfy this condition could not be efficient; by definition, it would be possible to alter the allocation of resources in a way that improves everyone's welfare.' Much of the appeal of this weak efficiency criterion is that it avoids comparisons of levels of well being among different individuals. The cost of such generality, however, is that in any given economic system a wide array of different Pareto efficient states will typically be attainable. In the simple Robinson Cursoe economy of the undergraduate textbook, for example, efficiency could just as easily be attained in the case where most of the island's resources are owned by Friday as in the case where they are under Crusoe's control. However, the distribution of welfare among the two inhabitants would obviously be quite different in the two situations. Such equity issues cannot be settled on objective or scientific grounds. To decide which distribution of welfare is socially "best" an explicit value judgment is needed. It is useful to keep in mind the preceding distinction between efficiency and equity issues when analyzing the role of government in a market economy. Decentralized market processes will not necessarily result in a distribution of welfare that society considers just. For this reason a potential role for government lies in the redistribution of income among individuals. In some circumstances, however, market pro-

Jan 1, 1985

By Robin P. Gardner

The development and use of short-lived radioactive tracer methods for the on-stream determination of residence time distributions in large-scale ball mills is described. Tests are reported on a pilot-plant ball mill with 0.43 m diameter and 0.86 m length and on an industrial mill with 1.83 m diameter and 2.74 m length. Tests with different tracer feed sizes indicate that the residence time distributions on both mills are independent of charge particle size. Similar tests are planned for a-large ball mill of 4.57 m diameter and 9.30 m length. No safety problems were encountered in these tests and none are anticipated in tests of the larger mill.

Jan 1, 1978

By Johann Engelbrecht, Stéfan de Bruyn, Petrus van den Heever

A system for the on-stream X-ray diffractometric determination of mineral phases in slurries was developed in response to the mining industry's need for process control during the beneficiation of industrial minerals. The instrumentation for and results from testwork conducted at a phosphate rock beneficiation plant in Florida are discussed. Results show that the concentrations of the minerals apatite (var. francolite) and quartz can be accurately determined every few minutes, so that adjustments to the flotation circuit can be timeously executed from the control room. The on-stream measurements can ultimately be integrated into an automated plant control strategy. Estimates of savings on reagent and staffing costs, as well as the benefits from consistent grades and greater recoveries, have shown that the investment in such a system could often be recovered in less than a year.

Jan 1, 1999

By Karel SPIRKO

The one-dimensional mathematical model of unsteady-state heat conduct ion through multilayer (wall and floor of airway consist of several layers of material and rock) and two-surface (dry and wet surfaces) airway wall and airway floor with convective heat and moisture transfer between their surfaces and mine air with time dependent changes of temperature and humidity has been developed on the basis of introduction of acceptable simplifications of description of heat and moisture transfer between rock mass and mine air. The analytical solutions for calculation of the surface temperature of any type of surface of airway wall/floor and for calculation of water vapour pressure near the wet surfaces at given time are obtained by means of the model presented. These solutions are illustrated for the case of general harmonic course of air temperature and humidity. Balance of heat and moisture transfer between surfaces of airway wall and floor and mine air is solved by an iterative method in the partial sections of airway. The temperature and the humidity of mine air on the outlet of each partial section of airway at given time are its resolutions and they are the input data for following partial section. By this way it is possible to solve complicated dynamic changes of mine air temperature and humidity in an air way system by relatively simple mathematical apparat.

Jan 1, 1991

By W. C. Wheeler, G. Suranyi, J. F. Gentleman, J. Muller, R. Kusiak

INTRODUCTION In 1974 two of the present authors reported the results of a pilot study indicating an increase of lung cancer risk in Ontario uranium miners. (Muller, Wheeler, 1973, 1974) The study was based on data contained in a computerized Mining Master File maintained by the Ontario Workmen's Compensation Board that contained information on miners examined in Ontario who had either 60 months of dust exposure in mines or had signs of pneumoconiosis or tuberculosis. Including the above conditions the definition of uranium miners added the condition of one month or more of uranium mining experience in Ontario. This list of Ontario uranium miners contained 8,649 names. Following the results of this first pilot study, we embarked on creating a file of uranium miners containing information on men with one month or more of uranium mining experience in Ontario without any further conditions. This file was used by the Royal Commission on the Health and Safety of Workers in Mines in their study of risk in Ontario uranium miners. (Hewitt 1976) This file contained 15,094 names. In this report we give an outline and progress report on a study of Ontario miners that we are conducting at present. It was felt that the male population of Ontario is not necessarily an adequate control population for uranium miners. A preliminary examination of the work history of uranium miners indicated that the majority of them (about 90 percent) had other mining experience in addition to their exposure in uranium mines. We therefore considered it useful to evaluate the possible effects of non-uranium mining on risk, and for this reason decided to make the Uranium Miners Study part of a study dealing with the mortality of Ontario miners in general. Aims of the Study The aims of the Study include the evaluation of: 1) the risk of dying by cause in non-uranium miners as compared to the male population of Ontario and Northern Ontario. 2) any differences that might exist in the death experience of non-uranium miners by cause according to ore mined. 3) the effect of length of exposure in non-uranium mines on age-specific risk by cause. 4) the dose-response function for primary cancer of the trachea, bronchus and lung from exposure to radon and its short-lived daughters. 5) the possible effect of the mining environment on deaths from causes other than cancer of the trachea, bronchus and lung. The study will address itself to a number of other factors that might well affect the dose-response function. These include: a) factors in the mine environment - other than radon daughters - that might affect lung cancer mortality. b) the effect of non-uranium mining on lung cancer risk in uranium miners. c) the effect of age as well as age at time of exposure on lung cancer risk. d) questions of latency and the possible dependence of latency on age at time of exposure. e) smoking as an important factor in lung cancer risk. f) Histological type of cancer in relation to the various parameters of exposure and age. MATERIALS AND METHODS The Study is making use of existing computerized data files and has set up certain new files. These include the Mining Master File and the Model Development File. The Mining Master File This file is a computerized record of data on individual miners obtained at yearly miners' examinations that have been carried out since the mid 1920's. The conditions for inclusion in the Mining Master File have been indicated above. Information contained in the file includes: (1) Identifying information: a) Surname and given names b) Date and place of birth c) Miners Certificate Number d) Social Insurance Number if available. (2) Updated Employment data obtained at each miner's examination: a) Year of first dust exposure in Ontario b) Year of first dust exposure outside Ontario c) Number of months worked in mining d) Ores mined e) Mining areas and mines f) Occupations

Jan 1, 1981

By D. P. Caplice

On behalf of the Ontario Water Resources Commission, I would like to express my sincere appreciation to your Institute for presenting us with this opportunity to outline the regulatory control programme as it relates to the mining industry in the Province of Ontario. In Canada, and particularly in Ontario, we are blessed with an abundance of natural resources. Fresh water in the form of lakes and rivers covers nearly 17 per cent of the area of the Province. (Total area of the Province of Ontario is 412,582 square miles.) The mining industry, which had its beginning in the early 1800's with a small iron ore plant, has progressed with the major discoveries of nickel and copper in 1883, silver in 1903, gold in 1908, iron in 1939 and uranium in 1953, to the point where, in 1966, almost one billion dollars in mineral wealth was mined in Ontario. Water, in spite of its great abundance and with due respects that it may become a natural resource worthy of export in the foreseeable future, has become increasingly precious in Ontario, particularly in the more urban areas in the southern part of the Province.

Jan 1, 1968

By G. Q. Huang, Q. X. Yun, Z. Y. Gui

This paper provides a new approach to deal with control of ore-rock excavation by means of the optimal control theory-an important branch in cybernetics. In the optimal control theory, the elementary functions are state-transition function and objective function. According to the characteristics of mining planning and production, a set of formulation are established to cope with ore- rock excavation. The formulations include basic formula, anti-disturbance formula as well as other special formula. The new approach has been successfully used in several mines of China.

Jan 1, 1996

By Thys B. Johnson

This paper presents a new algorithm for solving the Controlled Flow Mine Ventilation Problem in an optimal manner - minimum power consumption. The use of booster fans and restrictions on the locations of ventilation regulators are dealt with in a straightforward manner. This new approach is based on a common Operations Research algorithm for which there are many fast computer programs available.

Jan 1, 1982

By Phil D. Newman, Robert J. Pine, Kevin Ross

The Stratoni Operations in northeastern Greece rely on a selective backfill method to exploit high-grade lead-zinc deposits. Underhand cut and fill often results in spans approaching 6-9 m (depending on the mining method employed) and a competent backfill is required to avoid dilution problems. Cement consumption represents a significant mining cost and through improving the control of the backfill batch preparation, the cement content could be greatly reduced without jeopardizing the grade control. A new distribution system was installed and a QAIQC system designed in cooperation with the operators to allow a wide range of backfill recipes, providing cost savings to the mine. A review of possible failure modes and the consequent strength required for the chosen mining method was also completed and indicated potentially significant cement content reductions. The calculations are supported by 12 years of experience at the mines which provides a valuable insight into the applicability of the approach developed.

Jan 1, 2001

By Ioannis Nicolaou

This paper demonstrates the method of approach for the optimization of such filters. This does not only incorporate the proven and simple recently developed equations for the calculation of the solids throughput, the residual moisture and gas throughput, but also introduces equations for the calculation of the specific product costs for both vacuum and hyperbaric filtration under consideration of the influences exerted by the filter compressor and a possible thermal drying. An easy-to-use method is offered which incorporates a special graphic representation concerning the plotting of the target parameters in dependence of the pressure difference with which the optimal process pressure difference can be established, independent of the specific cake permeability or product fineness. Finally, the optimization method is exemplarily demonstrated for a concrete application.

Jan 1, 1995

By Richard R. Klimpel

INTRODUCTION Previous papers by this author have discussed some of the difficulties involved with optimizing the performance of industrial flotation circuits, e.g. Klimpel (1988, 1989). The two major problems seem to be: 1) the inherent "systems" nature of the froth flotation process which leads to a great deal of self-compensation among the various operating options available and 2) the inherent variations in mineralogy, water chemistry, etc. that always seem to be present in industrial operations. In particular, the influence of reagent dosage has been emphasized in the above referenced work including an industrial system interaction denoted as the R/K trade-off, Klimpel (1984, 1987). Using a simple two parameter model for fitting time - recovery data, Klimpel (1980): [ ] where r is cumulative recovery at time t or at the t th cell, R is the long-term equilibrium recovery and K is the first-order rate of mass removal from the cell (time ), the definition of the R/K trade-off with increasing reagent dosage can be given as follows: at low dosages both R and K increase, at intermediate dosages R continues to increase but K starts to level out, and at high dosages, R may flatten out or still continue to increase but K starts to decrease, sometimes rather quickly. An illustration of this effect in a batch laboratory flotation cell is given in Figure 1. The purpose of this paper is to give a detailed plant illustration of this R/K trade-off phenomena with changing collector dosage which shows just how highly interactive the grindinglflotation system in sulfide mineral processing really is. This is one of about 20 plant level case studies that are being presented and evaluated in an upcoming book, Klimpel (1990). The particular study given here was completed in late 1979 on a copper ore of head grade 0.93% Cu. The frother being used was Dowfroth* 250 at a constant dosage of 0.15 g for each ton of solids feed to the rougher bank and the slurry pH was 10.2. The motivation of the study was to better understand the relationship of changes in feed rate (hence in particle size and state of liberation) with variations in collector dosage (potassium amyl xanthate). The major concern was to determine how much extra economic benefit could be gained by better utilizing the existing grinding mills and rougher bank consisting of eight identical cells. The remainder of the flotation circuit was also studied, including regrinding of rougher tails, but did not prove as critical as the rougher bank operation itself. It appeared from an overall economic viewpoint, the battle was being won or lost in the manner in which the rougher bank was being operated. This was not to minimize the roles of the scavenging and cleaning circuits but those portions of this particular circuit could be rather obviously operated to achieve maximum benefit given the specific output of the rougher bank. A special attempt was made to maintain constant ore type throughout the entire test program. Eight specific test conditions were evaluated including three different feed rates (and hence three different size distributions) to flotation. Tables 1 and 2 summarize the eight test conditions and overall recovery results at the end of the rougher bank for each test. A single test consisted of at least three consecutive eight-hour shifts operating at steady-state with composite cell lip samples taken over the final eight-hour shift. "Trademark of The Dow Chemical Company

Jan 1, 1990

By Jaroslav Vicek, Alois Adamus

In the Czech Republic nitrogen was first used for the fight against the mine fire in 1949 (Hajek,1969). In the years 1949¬1996 the consumption of nitrogen in the Ostrava-Karvina Coal Basin /OKB/ reached more than 220 mil. m-3. The main source of nitrogen in the OKB is a central pipeline now. Gas nitrogen is used for the prevention of spontaneous combustion in gobs of longwall faces. The nitrogen infusion technology (Froger,1985), often called "franca technology", has been applied in the Czech coal mines since 1982. The aspects of the nitrogen infusion technol¬ogy can be theoretically solved by the calculation of mixing two gas streams in the filtration space. Longwall faces are parts of the ventilation network of the coal mine. The intake airflow of the longwall face is divided into the airflow passing through the face and a part of air losses passing through the gob. Air leakages through the gob and nitrogen in¬jected into the gob mix there. There is the main problem to solve air leakages in the gob. Usually, the principles of the gob aerody¬namics were used by many authors (Glusberg,1988;Voracek, 1994; Sulkowski,1993; Michailov, 1995; Dziurzynski, 1995; Kolarczyk, 1995; Saghafi, 1995; Sedlaty, 1993) that are applied to our case as well.

Jan 1, 1997

By Mark W. Johns

The design or optimization of a carbon-in-pulp (CIP) plant requires the determination and setting of a number of parameters to ensure optimum economic performance. A number of these parameters are either fixed, a function of the pulp, interdepen­dent, affect other parameters or outputs, so only a limited number of degrees of freedom exist from a metallurgical point of view. The traditional CIP contactor employs a low carbon concen­tration, a low agitation intensity and a reasonably long pulp residence time. The pump cell contactor employs a high carbon concentration, a high agitation intensity and a reasonably short pulp residence time. The two philosophies are dipolar in nature and the question arises as to which configuration is the optimum configuration for a CIP plant. The carbon particle size is shown to have a small effect on the capital cost of a CIP plant. A decrease in the pulp residence time, an increase in the pulp density, an increase in the carbon residence time, an increase in the agitation intensity and an increase in the number of stages are shown to have a positive effect on the capital cost of a CIP plant. The pulp residence time, the pulp density and carbon particle size are shown to have a small effect on the operating cost of a CIP plant. An increase in the carbon residence time, a decrease in the agitation intensity and an increase in the number of stages are shown to have a positive effect on the operating cost of a CIP plant. The optimum CIP plant, therefore, employs a short pulp residence time, the traditional pulp density, a long carbon residence time, the traditional carbon particle size, the traditional agitation intensity, and the traditional number of stages. Neither the pump cell configuration nor the traditional CIP configurations match the optimum configuration.

Jan 1, 1995

By Ernest Koenigsberg

In 1961 Lerchs and Grossman presented a method, based on graph theory, to determine the optimum ultimate pit limits for an open-cast mine. At the same time they demonstrated a dynamic programming algorithm for the optimum pit limits for a two-dimensional open-cast mine. Since then many methods for determining optimum limits for three-dimensional mines have been programed, and even more have been reported in the literature. The methods include computer "simulation" of the manual methods used by engineers, the development of sets of conic sections and fitting to exclude overlap, integer linear programming (and its equivalent network flow model), and dynamic programming. Many of the methods do not guarantee optimal solutions but seem to satisfy the user. Other reported methods have never been applied, partly because they did not yield optimal solutions. We have developed a three-dimensional dynamic programming algorithm which requires a single pass through the data. Large problems can be solved on a small computer because only a small part of the data is required at any time. In this paper we will review the state of the art and to demonstrate the connection between linear programming (and network flow) models and the dynamic programming method.

Jan 1, 1982