Traditional sensitivity analysis in linear programming usually focuses on variations of one coefficient or term at a time. The tolerance approach was proposed to provide a decision maker with an effective and easy-to-use method to summarize the effects of simultaneous and independent changes in...

We modify the likelihood-based method for obtaining derivatives with respect to the rate of a Poisson process to that it is not necessary to know the exact value of that rate. This type of modification is necessary if the method is to be used on a sample path from a real system. The method is...

We study the robustness of empirical efficiency valuations of production processes in an extended Farrell model. Based on input and output data, an empirical efficiency status---efficient or inefficient---is assigned to each of the processes. This status may change if the data of the observed...

For most order quantity/reorder point inventory systems, the stochastic model, which specifies the demands as stochastic processes, is often more accurate than its deterministic counterpart---the EOQ model. However, the application of the stochastic model has been limited because of the absence...

To clarify the impact of demand variability on single item stochastic inventory systems with setup costs, we subsume the distributional information of the lead time demand into its mean and variance and solve the resulting problem against the worst possible distribution in this class. For (Q, r)...

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...