Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Operations Research and Decisions

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On the one-shot two-person zero-sum game in football from a penalty kicker’s perspective

Ekhosuehi V.

Operations Research and Decisions

2018

Vol. 28, No. 3

17--27

A penalty kicker’s problem in football has been modelled. The study took into consideration different directions in which the ball can be struck and goalkeepers’ success at defending shots. The strategic form of the game that can be used to predict how the kicker should optimally randomise his strategies has been modelled as a non-linear game-theoretic problem from a professional kicker’s viewpoint. The equilibrium of the game (i.e., the pair of mutually optimal mixed strategies) was obtained from the game-theoretic problem by reducing it to a linear programming problem and the two-phase simplex method was adopted to solve this problem. The optimal solution to the game indicates that the kicker never chooses to kick the ball off target, to the goalpost or to the crossbar, but rather chooses to kick the ball in the opposite direction to the one where the goalkeeper is most likely to successfully defend from past history.

Financing university education in Nigeria : a proposal for infrastructure replenishment in universities

Ekhosuehi V., Iguodala W. A., Osagiede A. A.

Operations Research and Decisions

2016

Vol. 26, No. 4

33--47

The subject of replenishment of infrastructure in Nigerian public universities has been of great concern to stakeholders in the educational system. How to obtain an appropriate replenishment plan that would give the desired infrastructure for a university after a certain period of time is a long-standing problem. We attempt to find a solution to this problem from an engineering perspective based on optimal control theory. The revenue generated through the payment of school fees and the costs of investment in infrastructure are used to construct the objective function. The state variables are the amount budgeted for such an investment and the stock of infrastructure, while the rate of replenishment is used as the control variable. The problem is solved by utilising Pontryagin’s principle. The dynamics of the replenishment plan is illustrated with an example. The results show that there should be a steady increase in the amount budgeted, in order to attain the desired infrastructure.