Alternative Layout and Automation of Optimality Results for Machine Replacement Problems Based On Stationary Data and Age Transition Perspectives
Ukwu Chukwunenye *
Department of Mathematics, University of Jos, P.M.B. 2084, Jos, Plateau State, Nigeria
*Author to whom correspondence should be addressed.
Abstract
Aim: This investigation aimed at automating the computations of optimal replacement policies and rewards for a class of equipment replacement problems based on time perspectives and stationary pertinent data.
Methodology: The aim was achieved by the exploitation of the structure of the states given as functions of decision periods, in age-transition dynamic programming recursions.
Results: Alternative Excel solution implementation templates were designed and automated for the determination of the optimal replacement policies in machine replacement problems, with pertinent data given only as functions of machines’ ages.
Conclusion: The automation of these templates obviates the need for manual inputs of the states and stage numbering, as well as the inherent tedious and prohibitive manual computations associated with dynamic programming formulations and may be optimally exploited for sensitivity analyses on such models.
Keywords: Age transition dynamic programming recursions, automation of optimality results, decision period, machine replacement problems, pertinent data, sensitivity analyses