### Table 3 shows the analytical and simulation values obtained for the dwell time for a 5 * 5 square cell configuration. The relative error was also calculated and was found to be less than 0.2%, which again validated the analytical approach.

"... In PAGE 10: ... Table3 : Average Dwell Time- square cell Si 1 2 3 4 5 6 UA_D 3.... ..."

### Table 3: Simulation Result vs. Analytical Calculation

"... In PAGE 4: ... To start, consider the simplest confusion matrix where the only discrimination is between target and non-target. The confusion matrix for this simple case is shown in Table3 . In a simulation, the numbers in the confusion matrix are used to determine the outcome of a random draw each time an object, target or otherwise, is encountered.... In PAGE 8: ... The results of the simula- tion were compared to the analytical formulations discussed earlier. Table3 shows the comparison results. There is good agreement between analytical prediction and the simulation results.... ..."

### Table 2 Analytical model for calculating adaptation frequency

2000

Cited by 12

### Table 2 Analytical model for calculating adaptation frequency

### TABLE I Helium atom, analytic calculation.

### Table II. Data Used for Analytical Calculations

in Evaluation of the Low-Speed Stability and Control Characteristics of a Mach 5.5 Waverider Concept

### Table 4: Simulation Speed and Variance

1999

"... In PAGE 15: ... IV. Substitution Patterns Table4 provides an illustration of the substitution patterns that are implied by each of the models. In particular, the table gives the probabilities from each of the four models under various scenarios compared with a base situation.... In PAGE 16: ...Table4 are not forecasts, the differences in the substitution patterns that arise under the different models will also occur in forecasting since these differences are intrinsic to the model specifications. We first describe the differences between the standard logit and the mixed logit in column 2 of Table 2, called mixed logit A.... In PAGE 16: ... We then describe differences with the pure probit and the mixed logit in column 4, called mixed logit B. In part 1 of Table4 , a mini electric car is introduced to a base situation consisting of five gas cars. The logit model, because of the iia property, implies that the new electric car will draw proportionately from all five of the gas cars.... In PAGE 17: ...relative to existing products, is potentially important in forecasting penetration rates for any new product, but especially for products that are expected to satisfy niche markets. For part 2 of Table4 , a second electric car in introduced, comparable in size to a gas subcompact. The previous scenario (five gas cars and a mini electric car) is taken as the base.... In PAGE 19: ... The log of the simulated probability is not unbiased for the log of the true probability; rather, given the log transformation, it is biased downward for a finite number of replications, with the bias decreasing as the number of replications increases. The figures in Table4 are consistent with these facts. Whether the bias can be considered large depends on the perspective that one takes.... In PAGE 20: ... We performed similar calculations for the pure probit. The results are given in the last column of Table4 . The variance in the average probability and the log-likelihood function is somewhat smaller for the GHK simulator with 50 replications than the mixed logit with the same number of replications.... In PAGE 21: ... Nevertheless, the recursive nature of the GHK simulator (where the range for the random draw for one alternative depends on the value of previous draws for other alternatives) is inherently slow compared to simulators, like the mixed logit simulator, which draw simultaneously from unrestricted ranges. In light of these issues, the results in Table4 are perhaps best interprested as simply an indication that the mixed logit simulator is reasonably accurate compared to the GHK simulator, particularly for given computer time.... ..."

Cited by 25

### Table 2: An Analytic Comparison

"... In PAGE 9: ... 4 Summary and Competitive Comparison We have described six business object approaches based on a common conceptual model. Table2 sum- marises our findings. In this table, - - means that a BOF does not support an element of our model, -... ..."

### Table 6: Analytic Methods[307] Method Approach References

"... In PAGE 18: ...proaches. Table6 summarizes the e orts of mathematical programming applied to the cell formation problem. Table 6: Analytic Methods[307] Method Approach References... ..."