Provided by James R. Martin, Ph.D., CMA
Professor Emeritus, University of South Florida
Linear Programming Main Page |
Quantitative Methods Main Page
Aronofsky, J. S. and A. C. Williams. 1962. The use of linear programming and mathematical models in underground oil production. Management Science (July): 394-407.
Baker, K. R. and R. E. Taylor. 1979. A linear programming framework for cost allocation and external acquisition when reciprocal services exist. The Accounting Review (October): 784-790.
Balas, E.1966. The dual method for the generalized transportation problem. Management Science (March): 555-568.
Balas, E. and P. L. Ivanescu. 1964. On the generalized transportation problem. Management Science (September): 188-202.
Balinski, M. L. 1965. Integer programming: Methods, uses, computation. Management Science (November): 253-313.
Balinski, M. L. and R. E. Gomory. 1964. A primal method for the assignment and transportation problems. Management Science (April): 578-593.
Bazarraa, M. S., J. J. Jarvis and H. D. Sherali. 2009. Linear Programming and Network Flows, 4th edition. Wiley.
Bellman, R. 1957. On the computational solution of linear programming problems involving almost-block-diagonal matrices. Management Science (July): 403-406.
Berman, E. B. 1959. A regional production and transportation model. Management Science (April): 319-326.
Bock, R. H. 1962. A new method for teaching linear programming. The Journal of the Academy of Management 5(1): 82-86.
Brickman, L. 1989. Mathematical Introduction to Linear Programming and Game Theory (Undergraduate Texts in Mathematics). Springer.
Carsberg, B. 1969. On the linear programming approach to asset valuation. Journal of Accounting Research (Autumn): 165-182.
Charnes, A. and W. W. Cooper. 1954. The stepping stone method of explaining linear programming calculations in transportation problems. Management Science (October): 49-69.
Charnes, A. and W. W. Cooper. 1957. Management models and industrial applications of linear programming. Management Science (October): 38-91.
Charnes, A., W. W. Cooper and G. L. Thompson. 1965. Constrained generalized medians and hypermedians as deterministic equivalents for two-stage linear programs under uncertainty. Management Science (September): 83-112.
Charnes, A., W. W. Cooper and K. Kortanek. 1963. Duality in semi-infinite programs and some works of Haar and Carathéodory. Management Science (January): 209-228. 1963. Erratum: Duality in semi-infinite programs and some works of Haar and Caratheodory. Management Science (July): 701.
Charnes, A., W. W. Cooper and K. Kortanek. 1965. On representations of semi-infinite programs which have no duality gaps. Management Science (September): 113-121.
Charnes, A., W. W. Cooper and R. O. Ferguson. 1955. Optimal estimation of executive compensation by linear programming. Management Science (January): 138-151.
Chasteen, L. G. 1972. A graphical approach to linear programming shadow prices. The Accounting Review (October): 819-823.
Chasteen, L. G. 1972. Shadow prices: A graphical approach. Management Accounting (September): 27-29.
Chvatal, V. 1983. Linear Programming (Series of Books in the Mathematical Sciences). W. H. Freeman.
Dantzig, G., S. Johnson and W. White. 1958. A linear programming approach to the chemical equilibrium Problem. Management Science (October): 38-43.
Dantzig, G. B. 1955. Linear programming under uncertainty. Management Science (April-July): 197-206.
Dantzig, G. B. 1956. Recent advances in linear programming. Management Science (January): 131-144.
Dantzig, G. B. 1957. Thoughts on linear programming and automation. Management Science (January): 131-139.
Dantzig, G. B. 1959. On the status of multistage linear programming problems. Management Science (October): 53-72.
Day, C. F. 1959. "Shadow prices" for evaluating uses of available alternative capacity. N.A.A. Bulletin (May): 67-76. (Illustration of a relatively simple linear programming problem).
De Ghellinck, G. T. and G. D. Eppen. 1967. Linear programming solutions for separable Markovian decision problems. Management Science (January): 371-394.
Dembeck, J. L. and D. E. Stout. 1997. Using a spreadsheet to solve a multinational marketing problem. Management Accounting (January): 33-39. (Using linear programming for determining production and sales mix).
Dopuch, N. 1963. Mathematical programming and accounting approaches to incremental cost analysis. The Accounting Review (October): 745-753.
Dorfman, R., P. A. Samuelson and R. M. Solow. 1987. Linear Programming and Economic Analysis. Dover Publications.
Duffin, R. J. and L. A. Karlovitz. 1965. An infinite linear program with a duality gap. Management Science (September): 122-134.
Dwyer, P. S. 1966. The direct solution of the transportation problem with reduced matrices. Management Science (September): 77-96.
Enrick, N. L. 1965. Statistical control applications in linear programming. Management Science (June): B177-B186.
Evers, W. H. 1967. A new model for stochastic linear programming. Management Science (May): 680-693.
Fabian, T. 1958. A linear programming model of integrated iron and steel production. Management Science (July): 415-449.
Fabian, T. 1967. Blast furnace production planning - A linear programming example. Management Science (October): B1-B27.
Ferguson, A. R. and G. B. Dantzig. 1956. The allocation of aircraft to routes - An example of linear programming under uncertain demand. Management Science (October): 45-73.
Ferris, M. C., O. L. Mangassarian and S. J. Wright 2008. Linear Programming with MATLAB. Society for Industrial Mathematics.
Fetter, R. B. 1961. A linear programming model for long range capacity planning. Management Science (July): 372-378.
Finn, F. J. 1973. Integer programming, linear programming and capital budgeting. Abacus 9(2): 180-192.
Fuller, J. A. 1975. A linear programming approach to aggregate scheduling. The Academy of Management Journal 18(1): 129-136.
Garrison, R. H. 1971. Linear programming in capital budgeting. Management Accounting (April): 43-46.
Garvin, W. W., H. W. Crandall, J. B. John and R. A. Spellman. 1957. Applications of linear programming in the oil industry. Management Science (July): 407-430.
Gass, S. I. 2003. Linear Programming: Methods and Applications: Fifth Edition. Dover Publications.
Gass, S. I. 2010. Linear Programming: Methods and Applications, 5th edition. Dover Publications.
Grigoriadis, M. D. and W. F. Walker. 1968. A treatment of transportation problems by primal partition programming. Management Science (May): 565-599.
Grinnell, D. J. 1977. Using linear programming to compare direct and absorption costing. The Accounting Review (April): 485-491.
Harper, R. M. Jr. 1986. Linear programming in managerial accounting: A misinterpretation of shadow prices. Journal of Accounting Education 4(2): 123-130.
Hartley, R. V. 1969. Linear programming: Some implications for management accounting. Management Accounting (November): 48-51.
Heesterman, A. R. G. and J. Sandee. 1965. Special simplex algorithm for linked problems. Management Science (January): 420-428.
Horsky, D. and P. Nelson. 2006. Testing the statistical significance of linear programming estimators. Management Science (January): 128-135.
Ijiri, Y., F. K. Levy and R. C. Lyon. 1963. A linear programming model for budgeting and financial planning. Journal of Accounting Research (Autumn): 198-212.
Jaedicke, R. K. 1961. Improving B-E analysis by linear programming technique. N.A.A. Bulletin (March): 5-12.
Journal of Accounting Research. 1969. Corrigenda: Note on "Two-sided shadow prices". Journal of Accounting Research (Autumn): Unnumbered.
Karloff, H. 2008. Linear Programming, 2nd edition. Birkhauser Boston.
Karush, W. and A. Vazsonyi. 1957. Mathematical programming and service scheduling. Management Science (January): 140-148.
Kennon, W. 1955. Product mix control by activity analysis. N.A.C.A. Bulletin (November): 319-334.
Klein, M. 1967. A primal method for minimal cost flows with applications to the assignment and transportation problems. Management Science (November): 205-220.
Koch, J. V. 1973. A linear programming model of resource allocation in a university. Decision Sciences 4(4): 494-504.
Kornbluth, J. S. H. 1974. Accounting in multiple objective linear programming. The Accounting Review (April): 284-295.
Lea, R. B. 1972. A note on the definition of cost coefficients in a linear programming model. The Accounting Review (April): 346-350.
Loucks, D. P., C. S. Revelle and W. R. Lynn. 1967. Linear programming models for water pollution control. Management Science (December): B166-B181.
Lourie, J. R. 1964. Topology and computation of the generalized transportation problem. Management Science (September): 177-187.
Luenberger, D. G. 2003. Linear and Nonlinear Programming, Second Edition. Kluwer Academic Publishers.
Luenberger, D. G. and Y. Ye. 2010. Linear and Nonlinear Programming, 3rd edition. Springer.
Manne, A. S. 1960. Linear programming and sequential decisions. Management Science (April): 259-267.
Manthey, P. S. 1966. Scheduling and profit planning by utilizing the ratio-analysis method of linear programming. Management Accounting (June): 33-43.
Markowitz, H. M. 1957. The elimination form of the inverse and its application to linear programming. Management Science (April): 255-269.
Martin, A. D. Jr. 1955. Mathematical programming of portfolio selections. Management Science (January): 152-166.
Martin, J. R. Not dated. TOC Problem 1: Find the constraint and the product mix needed to maximize throughput. Management And Accounting Web. TOCClassProblem1
Martin, J. R. Not dated. TOC Problem 2: Determine the optimum product mix with overlapping constraints. Management And Accounting Web. TOCClassProblem2
Martin, J. R. Not dated. TOC Problem 3: Determine the optimum product mix with overlapping constraints. Management And Accounting Web. TOCClassProblem3
Martin, J. R. Not dated. TOC problems and introduction to linear programming. Management And Accounting Web. TOCProblemsIntroToLP
Masse, P. and R. Gibrat. 1957. Application of linear programming to investments in the electric power industry. Management Science (January): 149-166.
Matousek, J. and B. Gartner. 2006. Understanding and Using Linear Programming. Springer.
May, P. A. 1955. Profit polygraph for product mix evaluations. N.A.C.A. Bulletin (November): 307-318.
Mueller-Merbach, H. 1966. An improved starting algorithm for the Ford-Fulkerson approach to the transportation problem. Management Science (September): 97-104.
Niland, P. 1961. A course in the application of linear programming to production problems. The Journal of the Academy of Management 4(2): 137-143.
Onsi, M. 1966. Linear programming: An accounting information model. Management Accounting (December): 46-52. (A computerized responsibility accounting system).
Orchard-Hays, W. 1958. Evolution of linear programming computing techniques. Management Science (January): 183-190.
Paranjape, S. R. 1965. The simplex method: Two basic variables replacement. Management Science (September): 135-141.
Radner, R. 1959. The application of linear programming to team decision problems. Management Science (January): 143-150.
Raun, D. L. 1966. Product mix analysis by linear programming. Management Accounting (January): 3-13.
Reiter, S. and D. B. Rice. 1966. Discrete optimizing solution procedures for linear and nonlinear integer programming problems. Management Science (July): 829-850.
Ritzman, L. P. and L. J. Krajewski. 1973. Multiple objectives in linear programming - An example in scheduling postal resources. Decision Sciences 4(3): 364-378.
Samuels, J. M. 1965. Opportunity costing: An application of mathematical programming. Journal of Accounting Research (Autumn): 182-191.
Samuelson, P. A. and R. M. Solow. 1987. Linear Programming and Economic Analysis. Dover Publications.
Sengupta, J. K., G. Tintner and C. Millham. 1963. On some theorems of stochastic linear programming with applications. Management Science (October): 143-159.
Senju, S. and Y. Toyoda. 1968. An approach to linear programming with 0-1 variables. Management Science (December): B196-B207.
Sharp, J. F. 1975. The effects of income taxes on linear programming models. Decision Sciences 6(3): 462-470.
Sharpe, W. F. 1967. A linear programming algorithm for mutual fund portfolio selection. Management Science (March): 499-510.
Simons, E. 1962. A note on parametric linear programming. Management Science (April): 355-358.
Smith, L. W. Jr. 1956. Current status of the industrial use of linear programming. Management Science (January): 156-158.
Sultan, A. 1993. Linear Programming: An Introduction With Applications. Academic Press.
Summers, E. L. 1972. The audit staff assignment problem: A linear programming analysis. The Accounting Review (July): 443-453.
Sweeney, D. J. and T. A. Williams. 1974. A method for solving linear programs with variable resources. Decision Sciences 5(2): 205-208.
Sweeney, R. B. 1965. Business use of linear programming. Management Accounting (September): 39-47.
Szwarc, W. 1964. The transportation problem with stochastic demand. Management Science (September): 33-50.
Thie, P. R. and G. E. Keough. 2008. An Introduction to Linear Programming and Game Theory, 3rd edition. Wiley-Interscience.
Thompson, G. L., F. M. Tonge and S. Zionts. 1966. Techniques for removing nonbinding constraints and extraneous variables from linear programming problems. Management Science (March): 588-608.
Torrance, G. W. 1974. Initial solution for the dual simplex algorithm - A tutorial note. Decision Sciences 5(3): 422-424.
Troutt, M. D., W. Pang and S. Hou. 2006. Behavioral estimation of mathematical programming objective function coefficients. Management Science (March): 422-434.
Vanderbei, R. J. 2001. Linear Programming, Second Edition - Foundations and Extensions (International Series in Operations Research and Management Science, Volume 37). Kluwer Academic Publishers.
Vanderbei, R. J. 2010. Linear Programming: Foundations and Extensions, 3rd edition. Springer.
Wagner, H. M. 1957. A linear programming solution to dynamic Leontief type models. Management Science (April): 234-254.
Wagner, H. M. 1969. Principles of Operations Research: With Applications to Managerial Decisions. Prentice Hall.
Wagner, H. M., R. J. Giglio and R. G. Glaser. 1964. Preventive maintenance scheduling by mathematical programming. Management Science (January): 316-334.
Wardle, P. A. 1965. Forest management and operational research: A linear programming study. Management Science (August): B260-B270.
Wegner, P. 1960. A non-linear extension of the simplex method. Management Science (October): 43-55.
Wright, F. K. 1968. Measuring asset services: A linear programming approach. Journal of Accounting Research (Autumn): 222-236.
Wright, F. K. 1969. [On the linear programming approach to asset valuation]: A reply. Journal of Accounting Research (Autumn): 183-187.
Yahya-Zadeh, M. 2002. A linear programming framework for flexible budgeting and its application to classroom teaching. Issues in Accounting Education (February): 69-93. (Comparison of the proposed framework with traditional flexible budgeting and TOC).
Zangwill, W. I. 1967. The convex simplex method. Management Science (November): 221-238.