Total manpower system cost (in ooo's of Nigerian Naira) occasioned by yearly recruitments and promotions exercises for the period is 11334 (7092 for recruiting, 4100 for promoting, and 142 for overstaffing). The data shows yearly recruitments and promotions totaling 507 and 266 staff respectively for a ten-period (year) planning horizon. Five cost variables associated with manpower planning were identified and used as inputs to the modified deterministic DP model.
This allows us to give a generalization to manpower systems by modifying the model to finite grades which came out to be more robust and actionable, a constrained deterministic Dynamic Programming (CDDP) found to function computationally as the very well-known Wagner-Whitin Model in inventory/production management. Dynamic Programming is a mathematical technique well appropriate for the optimization of multistage decision problems. This linkage resulted to a multistage real-life decision-making problem whose solution demands that decisions be made sequentially at different levels and at different points in time and space. Considering the fact that contemporary manpower systems are not limited to just two grades - a kind of “switch-approach” to manpower systems, we first establish the link between a manpower planning problem and a dynamic decision-making process.
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