EURO-ECO 2008 Hanover 18 - 20 November 2008	Environmental and Engineering Aspects for sustainable living
	European Academy of Natural Sciences, Hanover European Scientific Society, Hanover University of Bremen, Bremen

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All circle of the questions connected with solid waste handling, recycling and landfilling carries, certainly, interterritorial character. The problem of solid waste management is a city problem. Compact residing and industrial activities of urban inhabitants lead to sharp increase in quantity of waste.

On the other hand, deficiency of city territories makes impossible placing of the enterprises for waste recycling within city borders. Therefore the city is compelled to carry out expansion of weights of a waste to a residential suburb and this interterritorial process generates a lot of various problems. There is a problem of an estimation of influence of weights of city waste on an environment and quality of health of the population of suburban territory-acceptor.

At placing of a city waste in residential suburb territory it is necessary to provide, first, equality of quality of a life of the population of a city and a residential suburb (it should be a priority for residential suburb controls) and, secondly, minimization of costs for landfilling of a city waste (it is a priority for city controls). In territory area S km2 quality of a life (connected with the waste placed in territory) population Q is measured by the size proportional to product of population density A (men/ km²) and «density of placing of a waste (impurity of territory)» B (ton/km²), that is Q => A×B (men*ton/km⁴) or Q = λ×A×B (men*ton/km⁴), where λ – the normalizing factor.

Then it is possible to formulate conditions:

1) equalities of quality of a life of the population of a city (an index 1) and a residential suburb (an index 2): A₁×B₁ = A₂×B₂ => B₁/B₂ = A₂/A₁ (1)

We will designate density:

B₁₂ – the city waste moved to a residential suburb (B₁₂ ≤ B₁);

B₂ – a waste made and placed in a residential suburb.

We will substitute in (1) and we will receive a condition of alignment of quality of life

B₁/B₂ = A₁/A₂ => (B₁ – B₁₂)/(B₂ + B₁₂) => B₁₂/B₁₁ =

2) minimization of costs for landfilling of a city waste.

Costs for a landfilling of a city waste consist of the sum of transportation costs and a rent for the earth which occupies range.

We will designate: T₁ – transportation costs on 1 ton of a waste landfilled on a city territory (on city landfill); T₂ – transportation costs on 1 ton of a waste landfilled on range out of a city territory (on suburban landfill); C₁ – a rent for 1M² the areas under a landfill on a city territory (on city landfill); C₂ – a rent for 1M² the areas under a landfill out of a city territory (on suburban a landfill); K – the area (M²), necessary for landfilling of 1 ton of waste; M – the lump of a city waste which is subject to landfilling, including: M₁ – the weight of a city waste which is subject to landfilling on a city territory (on city landfill); M₁₂ – the weight of a city waste which is taken out from a city for landfilling out of a city territory (on suburban landfill). Then costs for landfilling on city landfill M₁×T₁ + M₁×K×C₁, and costs for landfilling on

suburban landfill M₁₂×T₂ + M₁₂×K×C₂ and the general costs for landfilling of city waste M₁×T₁ + M₁×K×C₁ + M₁₂×T₂ + M₁₂×K×C₂. We will designate Δ = M₁/M = M₁/(M₁ + M₁₂). Then a condition of minimization of costs: Δ× [K× (C1 – C₂) – (T₂ – T₁)] + T₂ + K×C₂ → min