This paper formulates a model for determining the optimal allocation of a given advertising budget over M interacting market segments and a time domain of T periods. Guidance for budget size optimization is provided via a shadow price. The basic input parameters are in terms of sales saturation...

A recently proposed goal programming approach to aggregate planning of production rates and work force levels is reviewed and it is pointed out that there is very little difference between the "new approach" and the earlier Hansemann and Hess linear programming formulation. It is noted that the...

For purposes of aggregate production smoothing, quadratic functions often produce good fits to data on some of the relevant incremental costs, such as inventory and overtime costs. However, when costs of hiring and laying off workers are described by smooth quadratic functions, the model...

A previous study attempting to evaluate the benefits of coordination of marketing, production and finance decisions by Damon and Schramm is examined. It is noted that because of a flaw in the formulation of the marketing sector, the numerical results reported in this study are difficult to...

Several models for joint optimization of functional decision making have been presented during the last few years. This note comments on one of these models described in a recent article in this journal, "Marketing Strategy and the Optimal Production Schedule" [Leitch, R. 1974. Marketing...

The simplest price and advertising optimization model consistent with current empirical research is formulated and analyzed. An explicit horizon function is introduced to compare and synthesize the finite and infinite horizon situations. The practically prevalent procedure of setting this...

Computational efficiency in solving large-scale multi-item production smoothing models with quadratic costs is the chief concern of this paper. We consider two multi-item versions of the HMMS model and show that their optimal solutions can be obtained in "almost" closed form. Numerical inversion...