A market share attraction model of competitive effort allocation by two firms is formulated as a constant sum, two-person game. The dependence of optimal competitive effort allocations on factors such as gross profit margins, relative effectiveness of effort, and attraction elasticity of effort...

We formulate the Forest Management Problem as a Multicommodity Network Flow Problem with a convex cost function. We then show how to transfer the problem to an equivalent Single-Commodity Network Flow formulation in order to address several sensitivity analysis questions using results by Granot...

Postoptimality or sensitivity analysis are well-developed subjects in almost all branches of mathematical programming. In this note, we propose a simple formula which can be used to get preliminary bounds on the value of this type of analysis for a specific class of mathematical programming...

This paper shows how to perform sensitivity analysis for Mean-Variance (MV) portfolio problems using a general form of parametric quadratic programming. The analysis allows an investor to examine how parametric changes in either the means or the right-hand side of the constraints affect the...

The design of control charts in statistical quality control addresses the optimal selection of the design parameters (such as the sampling frequency and the control limits) and includes sensitivity analysis with respect to system parameters (such as the various process parameters and the...

Data Envelopment Analysis (DEA) evaluates the relative efficiency of decision-making units (DMUs) but does not allow for a ranking of the efficient units themselves. A modified version of DEA based upon comparison of efficient DMUs relative to a reference technology spanned by all other units is...

Infinitesimal Perturbation Analysis (IPA) is a method for computing a sample path derivative with respect to an input parameter in a discrete event simulation. The IPA algorithm is based on the fact that for certain parameters and any realization of a simulation, the change in parameter can be...

The tolerance approach to sensitivity analysis allows for simultaneous and independent variations of the elements of a column or a row of the coefficient matrix in a standard linear programming problem. In particular, the approach yields a maximum tolerance percentage within which the elements...

The familiar square-root formula for the optimal economic order quantity was derived originally by Harris in 1915 (Harris, F. W. 1915. What quantity to make at once. The Library of Factory Management, Vol. V. Operation and Costs. A. W. Shaw Company, Chicago, 47--52.). Since all citations found...

We consider the classic N-stage serial supply systems with linear costs and stationary random demands. There are deterministic transportation leadtimes between stages, and unsatisfied demands are backlogged. The optimal inventory policy for this system is known to be an echelon base-stock...