Competitive Strategic Bidding Optimization in Electricity Markets Using Bilevel Programming and Swarm Technique

Zhang, Guangquan; Zhang, Guoli; Gao, Ya; Lu, Jie

doi:10.1109/tie.2010.2055770

Cited by 118 publications

(62 citation statements)

References 20 publications

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“…The bilevel programming problem (BLPP) has a wide variety of applications, and bilevel programming techniques have been applied with remarkable success in different domains such as decentralized resource planning [30], transport system planning [31], civil engineering [32], road network management [33], power market [34], economics, and management [35,36]. The existing methods for solving BP can be categorized as traditional method and heuristic (stochastic) method.…”

Section: Background and Related Workmentioning

confidence: 99%

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Two novel price-based algorithms for spectrum sharing in cognitive radio networks

Weng

Lee

Chen

2013

J Wireless Com Network

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Cognitive radio network is expected to use flexible radio frequency spectrum sharing techniques for achieving more efficient frequency spectrum usage. In this article, we consider the spectrum sharing problem that one primary user (PU) can share its frequency spectrum by renting this spectrum to multiple secondary users (SUs). The pricing scheme is a key issue for spectrum sharing in cognitive radio network. We first propose a nonlinear one-leader-multiple-follower (NLMF) sharing spectrum scheme as a multi-object optimization problem; the prices are offered by PU to SUs at the same time. This problem can be solved using particle swarm optimization (PSO); SUs gradually and iteratively adjust their strategies respectively based on the observations on their opponents' previous strategies until Nash equilibrium is completed. We then present a general nonlinear bilevel one-leader-multiple-follower (NBMF) optimization problem to further consider the revenue of the PU and a new optimal strategic pricing optimization technique which applies bilevel programming and swarm intelligence. A leader-follower game is formulated to obtain the Stackelberg-Nash equilibrium for spectrum sharing that considers not only revenue of a PU but also the SUs utility. We develop a swarm particle algorithm to iteratively solve the problem defined in the NBMF decision model for searching the strategic pricing optimization. The behaviors of two pricing models have been evaluated, and the performance results show that the proposed algorithms perform well to solve the spectrum sharing in a cognitive radio network.

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Section: Background and Related Workmentioning

confidence: 99%

“…There is no exact way to solve the nonlinear bilevel decision problems. For solving the nonlinear bilevel decision problems, heuristic approach may be an alternative in the research community [34,44,45]. In this section, we assume that there are one leader and N followers in a bilevel decision system.…”

Section: Problem Statementsmentioning

confidence: 99%

Two novel price-based algorithms for spectrum sharing in cognitive radio networks

Weng

Lee

Chen

2013

J Wireless Com Network

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“…Gao et al [19] presented a method to solve bilevel pricing problems in supply chains using PSO. Zhang et al [50] presented a new strategic bidding optimization technique which applies bilevel programming and swarm intelligence. In addition, the hybrid algorithms based on PSO are also proposed to solve the bilevel programming problems [27,43,48].…”

Section: Introductionmentioning

confidence: 99%

A cooperative coevolution PSO technique for complex bilevel programming problems and application to watershed water trading decision making problems

Zhang¹,

Chen²,

Chen³

2017

J. Nonlinear Sci. Appl.

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The complex bilevel programming problem (CBLP) in this paper mainly refers to the optimistic BLP in which the highdimensional decision variables at both levels. A cooperative coevolutionary particle swarm optimization (CCPSO) is proposed for solving the (CBLP), in which the evolutionary paradigm can efficiently prevent the premature convergence of the swarm. Furthermore, the stagnation detection strategy in our algorithm can further accelerate the convergence speed. Finally, we use the test problems from the reference and practical example about watershed water trading decision-making problem to measure and evaluate the proposed algorithm. The presented results indicate that the proposed algorithm can effectively solve the complex bilevel programming problems. c 2017 All rights reserved.Keywords: Complex bilevel programming, cooperative coevolutionary particle swarm optimization, watershed water trading decision making problems, elite strategy. 2010 MSC: 65K10, 90C25.

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“…Many real-world decision making problem, such as decentralized resource planning [2], highway pricing [3], electronic power market [4] and logistics planning [5] can be formulated as multi-level decision making models. In the last decades, multi-level decision making problems have received more and more attentions [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

A fuzzy tri-level decision making algorithm and its application in supply chain

Zhang¹,

Zhang²,

Lu³

et al. 2013

Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology

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In this paper, we develop a fuzzy tri-level decision making (FTLDM) model to deal with decentralized decision making problems with three levels of decision makers. Based on the λ-cut of fuzzy set, we transform an FTLDM problem into a multiobjective tri-level decision making problem. Based on the linear tri-level Kth-best algorithm, the global optimal solution can be obtained. A case study for third-party logistics decision making in supply chain is utilized to illustrate the effectiveness of the proposed algorithm.

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Competitive Strategic Bidding Optimization in Electricity Markets Using Bilevel Programming and Swarm Technique

Cited by 118 publications

References 20 publications

Two novel price-based algorithms for spectrum sharing in cognitive radio networks

Two novel price-based algorithms for spectrum sharing in cognitive radio networks

A cooperative coevolution PSO technique for complex bilevel programming problems and application to watershed water trading decision making problems

A fuzzy tri-level decision making algorithm and its application in supply chain

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