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A SINGLE-PERIOD INVENTORY SYSTEM WITH A GENERAL S-SHAPED UTILITY AND EXPONENTIAL DEMAND

Journal of Systems Science and Systems Engineering 2010年第2期19卷 227-236页

作者： Wei GENG1 Xiaobo ZHAO2 Deng GAO3 Department of Industrial Engineering,Tsinghua University,Beijing 100084,China Department of Industrial Engineering Tsinghua University Beijing China

We discuss a single-period inventory system with a general S-shaped utility function and exponential demand. It is shown that there exists a state-dependent order-up-to policy to be optimal. Behaviors of optimal polic... 详细信息

关键词： Inventory S-shaped utility function order-up-to policy

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PRODUCTION INVENTORY SYSTEM WITH RANDOM SupPLY INTERRupTIONS STATUE AND RANDOM LEAD TIMES

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Acta Mathematica Scientia 2011年第1期31卷 117-133页

作者：侯玉梅刘文远张强仵凤清 College of Economics and Management Yanshan University College of Management and Economics Beijing Institute of Technology

This article analyzes a continuous-review inventory system with random supply interruptions and random lead time which may be interrupted by a random number of supplier’s OFF periods. The inventory with constant demand rate is managed by a （r; q1, q2, · · · , qm） policy and supplies from an unreliable sole supplier. By renewal theory and matrix Geometric method, the long-run average cost function is obtained and some important properties of the function are proved. Furthermore, performance of the inventory is derived.

关键词： Markov processes inventory theory supply chain management P Hdistribution order-up-to policy

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Study on the Complexity of the Bullwhip Effect

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Journal of Electronic Science and Technology of China 2004年第3期2卷 86-91页

作者： LU Yingjin, TANG Yong, Tang Xiaowo (School of Management, University of Electronic Science and Technology of China Chengdu 610054 China) School of Management University of Electronic Science and Technology of China Chengdu 610054 China

Recent years have witnessed a rapid growth of interest in the study of the dynamic behavior of replenishment rules of bullwhip effect. We prove that bullwhip effect and butterfly effect share a same the self-oscillation amplifying mechanism that is the ordering decisions the supplier self-oscillation amplify the perturbations brought by the errors in the processing of retailers' demand information. This results as an explicit self-similar structure of the sensitivity of the system to the initial values duty to the nonlinear mechanism. In this paper, the causes process of the bullwhip effect is described as the internal nonlinear mechanism and study on the complexity of bullwhip effect for order-up-to policy under demand signal processing. The methodology is based on fractal and chaotic theory and allows important insights to be gained about the complexity behavior of bullwhip effect.

关键词： the bullwhip effect complexity theory order-up-to policy demand signal processing

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