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This paper introduces a novel hybrid optimisation algorithm that combineselements of both metaheuristic search and integer programming. This newmatheuristic combines elements of Benders decomposition and the Bees Algorithm,to create the Bee-Benders Hybrid Algorithm (BBHA) which retains many of theadvantages both of the methods. Specifically it is designed to be easilyparallelizable, to produce good solutions quickly while still retaining aguarantee of optimality when run for a sufficiently long time. The algorithm istested using a transmission network expansion and energy storage planningmodel, a challenging and very large scale mixed integer linear programmingproblem. Transmission network planning problems are already difficult on theirown. When including the planning for storage systems in the network, thevariation of demand over time has to be taken into account significantlyincreasing the size and difficulty of the optimization problem. The BBHA isshown to be highly effective hybrid matheuristic algorithm that performs atleast as well as either Benders decomposition or the Bees Algorithm where theseare effective on their own, and significantly improves upon the individualapproaches where neither component part has a pronounced advantage. While thepaper demonstrates the effectiveness in terms of the concrete electricitynetwork planning problem, the algorithm could be readily applied to any mixedinteger linear program, and is expected to work particularly well whenever thishas a structure that is amenable to Benders decomposition.

A hybrid Benders decomposition and bees algorithm matheuristic approach to transmission expansion planning considering energy storage