Game theory model analysis for solid waste optimization in Enugu Municipal, Enugu State Nigeria

The use of Game theory model to optimize the planning and management of Municipal Solid Waste (MSW) in Enugu is intended to solve the problem of maximizing the solid waste generated for the economic benefit of the state and her inhabitants. This would ensure proper solid waste handling, recovery, reduction, re-use and recycling to wealth.  The aim is to develop optimization solution strategies for solid waste management using Game theory decision model theory.  The existing solid waste volume and characteristics were used at designated dump sites in Enugu to estimate the solid waste generated per day and game theory optimization model used to create wealth for Enugu State. The methodology used include characterization of solid waste deposited at selected dumpsites and estimation of the waste volume generated per capita per day projected for fifty (50) years based on 2006 census figure for Enugu municipal which comprise Enugu North, Enugu East and Enugu South Local government areas of Enugu State. The estimated population projection based on record from Enugu State Waste Management Authority (ESWAMA) shows that Enugu municipal would generate over 3234tons per day by March 2025. The summary of costs/benefits shows that minimax is 2.16 while the maximum is 5.19 without a saddle point so the linear programming of game theory was used to calculate the value of the game.  The result shows that the financial benefit under the worst condition will be N18.284 trillion per annum.