CAJ | 학술논문

考虑到客户租赁DVD的具体时刻和租赁时长的概率分布,并根据其相互关联关系,对其概率分布进行修正。在对租赁过程进行详细分析的基础上,得到了保有量与DVD租赁周期的公式,建立了保有量的概率模型,根据实际数据和相关参数可以得出具体问题的数值解。此外,对不同周期下的DVD保有量进行了测算,并对不同周期分布、不同时间跨度下的保有量进行了分析。对于给定定单租赁的优化问题,建立了具有现有存量限制条件下的0-1规划模型,并运用L ingo软件对问题进行了求解。对于给定定单的情况下的保有量优化问题,在没有限制存量的条件下,可以根据每份定单分别充分满足贪婪策略,得到用户满意度最大的DVD租赁的日需求量,进而给出日定单的保有量最优策略和满足给定用户群的分配策略。
고필도객호조임DVD적구체시각화조임시장적개솔분포,병근거기상호관련관계,대기개솔분포진행수정。재대조임과정진행상세분석적기출상,득도료보유량여DVD조임주기적공식,건립료보유량적개솔모형,근거실제수거화상관삼수가이득출구체문제적수치해。차외,대불동주기하적DVD보유량진행료측산,병대불동주기분포、불동시간과도하적보유량진행료분석。대우급정정단조임적우화문제,건립료구유현유존량한제조건하적0-1규화모형,병운용L ingo연건대문제진행료구해。대우급정정단적정황하적보유량우화문제,재몰유한제존량적조건하,가이근거매빈정단분별충분만족탐람책략,득도용호만의도최대적DVD조임적일수구량,진이급출일정단적보유량최우책략화만족급정용호군적분배책략。
According to the relationship between the specific leasing time and period of customers, the probability distributions for them are justified. On the basis of the detailed analysis of leasing process, the formula representing the relationship between storing quantity and leasing period is given, and the probability distribution model for storing quantity is developed as well. The numerical solution is obtained with the data and parameters given in the instance. The keeping quantity with different period distribution and time span are analyzed. Aiming at the optimization problem with given orders, a 0 - 1 programming model with the restriction on current storing quantity is established and solved with the help of the software Lingo. When it comes to the optimization problem of keeping quantity with given orders, on the condition that the keeping quantity is not restricted, the daily demanding quantity that can maximize satisfaction degree of customers is obtained by making each order meet greedy strategy sufficiently, and the optimization strategy for storing quantity and distributing option satisfying given customer group can be gotten accordingly.