Computer assisted mathematical programming

A Computer Assisted Mathematical Programming (Modelling) System (CAMPS) is described in this paper. The system uses program generator techniques for model creation and contrasts with earlier approaches which use a special purpose language to construct models. Thus no programming skill is required to formulate a model. In designing the system we have first analysed the salient components of the mathematical programming activity. A mathematical programming model is usually constructed by progressive definition of dimensions, data tables, model variables, model constraints and the matrix coefficients which connect the last two entities. Computer assistance is provided to structure the data and the resulting model in the above sequence. In addition to this novel feature and the automatic documentation facility, the system is in line with recent developments, and incorporates a friendly and flexible user interface

Mathematical Programming Decoding of Binary Linear Codes: Theory and Algorithms

Mathematical programming is a branch of applied mathematics and has recently been used to derive new decoding approaches, challenging established but often heuristic algorithms based on iterative message passing. Concepts from mathematical programming used in the context of decoding include linear, integer, and nonlinear programming, network flows, notions of duality as well as matroid and polyhedral theory. This survey article reviews and categorizes decoding methods based on mathematical programming approaches for binary linear codes over binary-input memoryless symmetric channels.Comment: 17 pages, submitted to the IEEE Transactions on Information Theory. Published July 201

New computer system simplifies programming of mathematical equations

Automatic Mathematical Translator /AMSTRAN/ permits scientists or engineers to enter mathematical equations in their natural mathematical format and to obtain an immediate graphical display of the solution. This automatic-programming, on-line, multiterminal computer system allows experienced programmers to solve nonroutine problems

Reoptimizations in linear programming

Replacing a real process which we are concerned in with other more convenient for the study is called modeling. After the replacement, the model is analyzed and the results we get are expanded on that process. Mathematical models being more abstract, they are also more general and so, more important. Mathematical programming is known as analysis of various concepts of economic activities with the help of mathematical modelsReoptimization, linear programming, mathematical model

Applications of mathematical programming on four New Zealand horticultural holdings : a thesis presented in partial fulfilment of the requirements for the degree of Master of Horticultural Science in Massey University

Although fifteen years have passed since the publication of Dorfman's article 1 Dorfman, Robert, "Mathematical or 'Linear' Programming, a Non-Mathematical Exposition," American Economic Review, vol.43,p.797, 1953. describing linear programming in terms readily understood by the most non-mathematical agricultural economist, and fourteen years have lapsed since Heady published an article 2 Heady, Earl o., "Simplified Presentation and Logical Aspects of Linear Programming Technique," Journal of Farm Economics, vol.36, p. 1035, 1954. demonstrating the obvious potential of linear programming in solving a large class of farm management problems, 'real life' applications of programming, particularly those concerned with horticultural management are surprisingly few. 3 For interesting applications of programming to horticultural or part-horticultural holdings, see: Simpson, I.G., Hales, A.W., and Fletcher, A., "Linear Programming and Uncertain Prices in Horticulture," Journal of Agricultural Economics, vol.15, P.617, 1963; Camm, B.M., "Risk in Vegetable Production on a Fen Farm," The Farm economist, vol.10, p.89, 1962-65; Wesney, D. , "A study or the Financial Returns to Process Pea Growers in Hawkes Bay," unpublished M.Agr .Sc. thesis, Massey University Library, 1964; and Tyler, G.J., "An Application of Linear Programming," Journal of Agricultural Economics, vol.13, p.473, 1960. Linear programming has been accepted in the U.S.A. as an extremely useful and versatile tool for both farm management research and advisory work but has not as yet been widely accepted in the United Kingdom, where simpler techniques such as Programme Planning 4 Clarke, G.B. and Simpson, I.G., "A Theoretical Approach to the Profit Maximisation Problems in Farm Management," Journal of Agricultural Economics, vol. 13, p.25o, 1959. For a comparison of the merits of Programme Planning and Linear Programming see Candler, Wilfred and Warren Musgrave, "A Practical Approach to the Profit Maximisation Problems in Farm Management," Journal of Agricultural Economics, vol.14, p.2O8, 1960.are advocated. Official advisory services in New Zealand tend to be based on techniques used in the United Kingdom and hence linear programming has not been given adequate opportunity to demonstrate its usefulness