运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2014年
6期
266-273
,共8页
网络演化%适应度%BA模型%集装箱海运网络%优胜劣汰
網絡縯化%適應度%BA模型%集裝箱海運網絡%優勝劣汰
망락연화%괄응도%BA모형%집장상해운망락%우성렬태
network evolution%fitness%BA model%container shipping network%survival of the fittest
集装箱海运网络主要反映的是港口与航线的空间组织,其演化是一种复杂的社会、经济、历史的整合过程。运用生态学的隐喻方法对其演化的动力机制进行剖析,充分考虑到现实集装箱海运网络的规模限制与动态发展的演化特征,提出基于“优胜劣汰”的五种机制:节点增加、节点删除、择优连接、反择优删除与重新连接;通过设计港口腹地经济、港口吞吐量、港口区位等适应性指标对港口节点适应度进行度量,构建出一个适应度BA模型;对港口节点度分布的理论推导与数值模拟结果表明:(1)该模型的度分布不仅取决于港口节点的度,更依赖于港口节点的适应度。(2)该模型能够得到一个度分布服从幂律指数为γ=1+1/β的无标度网络。(3)若每个港口节点取相同适应度时,该模型呈现出“先到者赢”的特征;若每个港口节点适应度并不完全相同时,该模型呈现出“适者更富”的特征。
集裝箱海運網絡主要反映的是港口與航線的空間組織,其縯化是一種複雜的社會、經濟、歷史的整閤過程。運用生態學的隱喻方法對其縯化的動力機製進行剖析,充分攷慮到現實集裝箱海運網絡的規模限製與動態髮展的縯化特徵,提齣基于“優勝劣汰”的五種機製:節點增加、節點刪除、擇優連接、反擇優刪除與重新連接;通過設計港口腹地經濟、港口吞吐量、港口區位等適應性指標對港口節點適應度進行度量,構建齣一箇適應度BA模型;對港口節點度分佈的理論推導與數值模擬結果錶明:(1)該模型的度分佈不僅取決于港口節點的度,更依賴于港口節點的適應度。(2)該模型能夠得到一箇度分佈服從冪律指數為γ=1+1/β的無標度網絡。(3)若每箇港口節點取相同適應度時,該模型呈現齣“先到者贏”的特徵;若每箇港口節點適應度併不完全相同時,該模型呈現齣“適者更富”的特徵。
집장상해운망락주요반영적시항구여항선적공간조직,기연화시일충복잡적사회、경제、역사적정합과정。운용생태학적은유방법대기연화적동력궤제진행부석,충분고필도현실집장상해운망락적규모한제여동태발전적연화특정,제출기우“우성렬태”적오충궤제:절점증가、절점산제、택우련접、반택우산제여중신련접;통과설계항구복지경제、항구탄토량、항구구위등괄응성지표대항구절점괄응도진행도량,구건출일개괄응도BA모형;대항구절점도분포적이론추도여수치모의결과표명:(1)해모형적도분포불부취결우항구절점적도,경의뢰우항구절점적괄응도。(2)해모형능구득도일개도분포복종멱률지수위γ=1+1/β적무표도망락。(3)약매개항구절점취상동괄응도시,해모형정현출“선도자영”적특정;약매개항구절점괄응도병불완전상동시,해모형정현출“괄자경부”적특정。
The container shipping network is port systems and the spatial organization of routes , which evolution is a complex social , economic and historical integration process .According to the evolution dynamic mechanism based on the ecology metaphor , the characteristics of size limit and dynamic development of container shipping network in reality have been fully considered .Furthermore , the five mechanisms , named node step , node dele-tion, preferential attachment , anti-preferential deletion and rewiring are proposed based on “survival of the fit-test”.Since the adaptability indexes for port hinterland economy , port throughput and port location are designed to measure the fitness of port node , a fitness BA model is put forward .Then , the degree distribution is calculated by theoretical derivation and numerical simulation .The results show that (1) the degree distribution depends on not only the degree of port nodes , but also the fitness function of port nodes;( 2 ) the fitness BA model owns a power-law degree distribution with an exponent γ=1+1/β;(3)“first-mover-wins” will be present if the fitness of each port node is all equal , while“fit-gets-richer” will appear if the fitness of each port node is not completely equal.