In this study, we have applied optimal control theory to determine the optimum value of tax revenues accruing to a state given the range of budgeted expenditure on enforcing tax laws and awareness creation on the payment of the correct tax. This is achieved by maximizing the state's net tax revenue over a fixed time interval subject to certain constraints. By assuming that the satisfaction derived by the Federal Government of Nigeria on the ability of the individual states to generate tax revenue which is as near as the optimum tax revenue (via the state's control problem) is described by the logarithmic form of the Cobb–Douglas utility function, a formula for horizontal revenue allocation in Nigeria in its raw form is derived. Afterwards, we illustrate the use of the proposed horizontal revenue allocation formula using hypothetical data.

In this paper, we treat the following problem: Given a stable Gani-type personflow model and assuming no negative recruitment, what recruitment distribution at the  n step is capable of generating a staff-mix that closely follows the desired structure? We relate this problem to the challenge of universities in Nigeria towards attaining the desired academic staff-mix by rank specified by the National Universities Commission (NUC). We formulate a population-dynamic model consisting of aggregate-fractional flow balance equations within a discrete-time Markov chain framework for the system. We use MATLAB as a convenient platform to solve the system of equations. The utility of the model is illustrated by means of academic staff flows in a university-faculty setting in Nigeria.

This paper focuses on a manpower system with a fixed number of jobs that uses both permanent and temporary staff. The dynamics of workforce-mix in such a system is modelled as an optimal control problem. The objective is to find the most economical workforce-mix for the manpower system, subject to the fluctuations in workforce caused by wastage and the hiring of temporary staff. The fluctuations in the workforce-mix are modelled using a model similar to the Vidale-Wolfe advertising model. The solution is found by applying Pontryagin's principle, and a number of resulting propositions are presented along with their proofs. A real-life manpower setting is used to illustrate the utility of the model.

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This study focuses on the measure of stability of external debt using entropy. This is achieved by modifying the conglomerate of Shannon and Boltzmann entropy. This modification rectifies the limitations of these models. Practical illustration of the modified model is also given to justify its use.