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Network design problem is usually complicated. Network designers may have to optimize various design objectives simultaneously. This paper considers a multi-objective network design problem for Routing Wavelength Assignment (RWA) in WDM networks. The design objectives are to maximize the number of accepted communication requests (source-destination pairs) as well as to minimize the number of wavelength channel requirement subject to a limited number of wavelength channels available on each network link and at least 80% of all commodities must be accepted. Both the design objectives are conflicted to each other; maximizing the number of accepted commodities will require a large number of wavelength channels while minimizing the number of wavelength channels will limit the amount of accepted commodities.
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