Capital Budgeting of Interrelated Projects: Survey and Synthesis

As capital budgeting decision procedures become more complex, they must allow for more aspects of the real world. The present article surveys the techniques available to handle the important and generally neglected problem of project interrelationships such as mutual exclusion and interdependencies. The techniques utilized are linear and integer programming, dynamic programing, and the discrete optimizing procedure of Reiter. Project interrelationships arising from randomness of outcomes and nonlinear utility functions are also subjected to scrutiny by application of these procedures, and additional interrelationships, arising in the context of research and development budgets, are analyzed. A dynamic programming code for the multidimensional 0-1 knapsack problem is also presented.

[1]  I. Fisher,et al.  The theory of interest , 1956 .

[2]  J. Keynes The General Theory of Employment , 1937 .

[3]  L. J. Savage,et al.  Three Problems in Rationing Capital , 1955 .

[4]  Howard Raiffa,et al.  Games And Decisions , 1958 .

[5]  G. Dantzig Discrete-Variable Extremum Problems , 1957 .

[6]  A. Charnes,et al.  Chance-Constrained Programming , 1959 .

[7]  Ezra Solomon,et al.  The Management of Corporate Capital. , 1960 .

[8]  A. Charnes,et al.  APPLICATION OF LINEAR PROGRAMMING TO FINANCIAL BUDGETING AND THE COSTING OF FUNDS , 1959 .

[9]  R. Gomory,et al.  A Linear Programming Approach to the Cutting-Stock Problem , 1961 .

[10]  Abraham Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[11]  Stanley Reiter,et al.  Allocating Indivisible Resources Affording External Economies or Diseconomies , 1962 .

[12]  Stuart E. Dreyfus,et al.  Applied Dynamic Programming , 1965 .

[13]  D. T. Asher A Linear Programming Model for the Allocation of R and D Efforts , 1962, IRE Transactions on Engineering Management.

[14]  D. E. Farrar,et al.  The investment decision under uncertainty , 1962 .

[15]  Stanley Reiter,et al.  Choosing an Investment Program among Interdependent Projects , 1963 .

[16]  Harvey J. Everett Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources , 1963 .

[17]  F. Hillier THE DERIVATION OF PROBABILISTIC INFORMATION FOR THE EVALUATION OF RISKY INVESTMENTS , 1963 .

[18]  G. Mills,et al.  Approaches to Dynamic Investment Planning. , 1963 .

[19]  The Excess Present Value Index-A Theoretical Basis and Critique , 1963 .

[20]  W. Sharpe A Simplified Model for Portfolio Analysis , 1963 .

[21]  Ralph E. Gomory,et al.  A Linear Programming Approach to the Cutting Stock Problem---Part II , 1963 .

[22]  A. Charnes,et al.  PLANNING FOR LIQUIDITY IN SAVINGS AND LOAN ASSOCIATIONS , 1964 .

[23]  Joel Cord,et al.  A Method for Allocating Funds to Investment Projects when Returns are Subject to Uncertainty , 1964 .

[24]  J. Pratt RISK AVERSION IN THE SMALL AND IN THE LARGE11This research was supported by the National Science Foundation (grant NSF-G24035). Reproduction in whole or in part is permitted for any purpose of the United States Government. , 1964 .

[25]  E. Mansfield,et al.  Approaches to dynamic investment planning , 1964 .

[26]  THE KNAPSACK PROBLEM: SOME RELATIONS FOR AN IMPROVED ALGORITHM , 1965 .

[27]  Letter to the Editor-Comments on Preceding Note , 1965 .

[28]  Richard E. Quandt,et al.  Investment and Discount Rates Under Capital Rationing—A Programming Approach , 1965 .

[29]  Abraham Charnes,et al.  Letter to the Editor-A Note on the Fail-Safe Properties of the Generalized Lagrange Multiplier Method , 1965 .

[30]  Bertil Naslund,et al.  A Model of Capital Budgeting Under Risk , 1966 .

[31]  The Average Investment Performance Index , 1966 .