Comparative analysis of Jacobi’s and game theory models for wealth creation from solid wastes in Enugu State, Nigeria

The study is aimed at carrying out comparative analysis of Jacobi’s iteration Optimization and Game theory models for wealth creation from Solid Wastes generation in Enugu. The objectives are to quantify solid wastes volume and characteristics generated, develop the optimization modeling cost for cost effective solid wastes management and planning, apply Jacobi’s iteration model and compare the results with Game theory models to optimize wealth creation in Enugu. There is progressive increase on solid wastes generation due to urbanization and industrialization, unhygienic disposal and associated problems that pose serious threat to public health and environment. Lack of public enlightenment on environmental control measures, protection of environment and human lives, and other pollution menace made the current Solid waste planning and management unsustainable. There is lack of capacity on the part of Enugu State Waste Management Authority (ESWAMA) to live up to the challenges. The methodology involve the use of Jacobi’s iteration Optimization and Game theory optimization models to optimize the Solid Wastes generated in Enugu in order to create wealth for the inhabitants of Enugu. The results show that Jacobi’s iteration optimization model objective function maximized profit at Z = N21,072,853.00 (N21.07million) per ton per day based on fifty years projection from 2006 census projection of the population of Enugu municipal. The benefit of cost recovery for optimal solution using Jacobi’s iteration was N7.67billion per ton per annum with total revenue of N18.409trillion. The result obtained from Game theory optimization model was N18.284trillion which compares favourably with Jacobi’s iteration with difference of N125.00billion. The work concludes that proper management of solid waste generated can create wealth through source reduction, re-use, recycling, recovery with treatment and disposal. Effective legislation based on the outcome of these optimization techniques will market solid waste as essential commodity, which will in turn improve the general sanitation of Enugu urban. Appropriate measures must be put in place on the implementation for the economic benefit of the inhabitants.