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capital combination of t's conditional distribution consider continuous inspection cost minimization model cost per unit decision variables depreciation dF(x dynamic programming e"xt equation equipment replacement problems existing equipment expected cost exponentially distributed failed equipment fll f12 function P(t ice-box investment process jet engines maintenance action maintenance and replacement maintenance cost MAPI method MAPI system module normally distributed number of replacements O.lx obsolescence operating and maintenance operating cost opportunity cost optimal combination optimal equipment age optimal inspection optimal policy Optimal Replacement Policy output P(tj P(tk piece of equipment point of regeneration Poisson process Preinreich's probability density function problem for type profit maximization model random variable recurrent formulation reliability function replace the equipment replacement cost replacement decisions replacements in 0,t revenue function scheduled replacement Section standard normal table stochastically failing tests for exponentiality tk,x type I equipment year's operating advantage