Successive Linear Programming (SLP) has been used extensively in the refining and petrochemical industries for over 20 years. This paper concentrates on some recent work at Exxon to unify the treatment of nonlinear terms in "mostly linear" models. We first discuss the source of nonlinearities in...

Granot and Hammer (Granot, F., P. L. Hammer. 1971. On the use of boolean functions in 0-1 programming. Operations Research, Statistics and Economic Mimeograph Series No. 70, Technion (August 1970). (Published in Methods of Oper. Res. 12 154-184); Granot, F., P. L. Hammer. 1975. On the role of...

Food preference and utility measures are functionally related to the frequency and quantity of foods consumed within fixed time periods. The coefficients of these functions can be estimated by psychometric or econometric methods. Total preference or utility can be maximized subject to budgetary...

An important problem confronting decision makers in modern organizations is the determination of an optimal product-mix (or service-mix) in situations where learning effects are present. Learning has been observed to exist in a variety of production and service situations in which the amount of...

Successive Linear Programming (SLP), which is also known as the Method of Approximation Programming, solves nonlinear optimization problems via a sequence of linear programs. This paper reports on promising computational results with SLP that contrast with the poor performance indicated by...

This paper presents a simple model to guide the efficient allocation of resources in community programs to detect and treat hypertension. We model such programs as n-component series systems, where each stage must function in sequence in order for the system as a whole to operate. The model...

This paper describes a problem in which the "cost" of satisfying the demand at a particular location is a weighted average of the travel times for the items that are supplied. The greatest weight is given to the first-arriving item, with decreasing weights given to each succeeding item. In the...

Planning the allocation of scarce resources to competing activities over multiple time periods is one of the most important problems facing decision makers in modern organizations. Much of the previous research in this area has concentrated on the use of linear programming procedures and has...

A number of recent research efforts in the area of research and development planning have indicated the necessity that the R&D project selection process be viewed as a multi-criteria decision-making problem. As a result, linear 0-1 goal programming, because of its ability to encompass multiple...

Spatial equilibrium problems are frequently formulated as large scale quadratic programming problems or linear complementarity problems. We show that these problems can be reduced to two or more smaller problems with Generalized Benders Decomposition. The procedure then becomes iterative with...