in some data envelopment analysis (dea) applications, some inputs of dmus have negative values with positive cost. this paper generalizes the global cost malmquist productivity index to compare the productivity of dierent dmus with negative inputs in any two periods of times under variable returns to scale (vrs) technology, and then the generalized index is decomposed to several components. th...

Presently there is a little information that relates to heat shield systems.  Also this information is not certain in so many cases.  The main reason is that accurate calculations for measuring the sacrificing rate of various materials have not been obtained yet.  Additionally, the real scale test has two disadvantages: high cost and low flexibility, and for each case we must perform a new test...