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**1 - 6**of**6**### A Single-Unit Decomposition Approach to Multiechelon Inventory Systems

"... doi 10.1287/opre.1080.0620 ..."

### Stochastic Clearing Systems with Markovian Inputs: Performance Evaluation and Optimal Policies

"... I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii This thesis studies the stochastic clearing systems wh ..."

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I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii This thesis studies the stochastic clearing systems which are characterized by a non-decreasing stochastic input process {Y (t), t ≥ 0}, where Y (t) is the cumulative quantity entering the system in [0, t], and an output mechanism that intermittently and instanta-neously clears the system. Examples of such systems can be found in shipment consoli-dation, inventory backlog, lot sizing, shuttle bus dispatch, bulk service queues, and other stochastic service and storage systems. In our model, the input process is governed by an underlying discrete-time Markov chain such that, the distribution of the input in any given period depends on the underlying state in that period. The outstanding inputs in the system are recorded in strings to keep track of the ages, i.e., the time elapsed since their arrival, of each input. The decision of when to clear the system depends on a “clear-

### This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE TRANSACTIONS ON IMAGE PROCESSING 1 Analysis and Compensation of Rolling Shutter Effect

"... Abstract—Due to the sequential-readout structure of complementary metal-oxide semiconductor image sensor array, each scanline of the acquired image is exposed at a different time, resulting in the so-called electronic rolling shutter that induces geometric image distortion when the object or the vid ..."

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Abstract—Due to the sequential-readout structure of complementary metal-oxide semiconductor image sensor array, each scanline of the acquired image is exposed at a different time, resulting in the so-called electronic rolling shutter that induces geometric image distortion when the object or the video camera moves during image capture. In this paper, we propose an image processing technique using a planar motion model to address the problem. Unlike previous methods that involve complex 3-D feature correspondences, a simple approach to the analysis of inter- and intraframe distortions is presented. The high-resolution velocity estimates used for restoring the image are obtained by global motion estimation, Bézier curve fitting, and local motion estimation without resort to correspondence identification. Experimental results demonstrate the effectiveness of the algorithm. Index Terms—Complementary metal-oxide semiconductor (CMOS) sensor array, motion analysis, rolling shutter. I.

### IEEE PES Transactions on Smart Grid 1 1 2 3 4 5 6 7 8

"... Abstract—In this paper, we study the optimal energy delivery problem from viewpoints of both the vehicle owner and aggregator, in load shaving services of a vehicle-to-grid (V2G) system. We formulate the optimization problem based on a general plugin hybrid electric vehicle (PHEV) model, taking into ..."

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Abstract—In this paper, we study the optimal energy delivery problem from viewpoints of both the vehicle owner and aggregator, in load shaving services of a vehicle-to-grid (V2G) system. We formulate the optimization problem based on a general plugin hybrid electric vehicle (PHEV) model, taking into account the randomness in vehicle mobility, time-of-use electricity pricing, and realistic battery modeling. Stochastic inventory theory is applied to analyze the problem. We mathematically prove that a state-dependent (S, S ′ ) policy is optimal for the daily energy cost minimization of each vehicle, and develop an estimation algorithm to calculate the parameters of the optimal policy for practical applications. Furthermore, we investigate the multivehicle aggregator design problem by considering the power system constraints. A policy adjustment scheme is proposed to adjust the values of S and S ′ with respect to the optimal policy adopted by each PHEV, such that the aggregated recharging and discharging power constraints of the power system can be satisfied, while minimizing the incremental cost (or revenue loss) of PHEV owners. Based on characteristics of the statedependent (S, S ′ ) policy and our proposed policy adjustment scheme, the optimal aggregator operation problem is transformed into a convex optimization one which can be readily solved by existing algorithms. The performance of our proposed schemes is evaluated via simulations based on real data collected from Canadian utilities, households, and commuters. Index Terms—Optimal energy delivery, plug-in hybrid electric vehicle, stochastic inventory theory, vehicle-to-grid. Ci,n,si,n,xi,n(Ui,n) Ci,N (x) c rc

### 2012 Proceedings IEEE INFOCOM Towards Optimal Energy Store-Carry-and-Deliver for PHEVs via V2G System

"... Abstract—As an important component of smart grid, the vehicle-to-grid (V2G) system is recently introduced to enable bidirectional energy delivery between the power grid and plugin electric vehicles. Communication technology is incorporated to facilitate the energy delivery by providing electricity p ..."

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Abstract—As an important component of smart grid, the vehicle-to-grid (V2G) system is recently introduced to enable bidirectional energy delivery between the power grid and plugin electric vehicles. Communication technology is incorporated to facilitate the energy delivery by providing electricity pricing and energy demand information. However, different from the stationary energy storage systems, the energy store-carry-anddeliver mechanism for a V2G system poses new challenges for performance optimization, such as bi-directional energy flow and non-stationary energy demand. How to utilize the statistical information provided by the communication system to achieve efficient energy delivery is critical for a V2G system and is still an open issue. In this paper, we address a specific problem in this new research area, i.e., daily energy cost minimization of vehicle owners under time-of-use (TOU) electricity pricing. We investigate a plug-in hybrid electric vehicle (PHEV) with a realistic battery model, which is general for both battery electric cars and plug-in hybrids. A dynamic programming formulation is established by considering the bidirectional energy flow, nonstationary energy demand, battery characteristics, and TOU electricity price. We prove the optimality of a state-dependent doublethreshold (or (S, S ′)) policy based on the stochastic inventory theory. A modified backward iteration algorithm is devised for practical applications, where an exponentially weighted moving average (EWMA) algorithm is used to estimate the statistics of PHEV mobility and energy demand. The performance of the proposed scheme is demonstrated by simulations based on survey and real data collected from Canadian households. Numerical results indicate that our proposed scheme performs closely to a scheme with a priori knowledge of the PHEV mobility and energy demand information. Compared with the existing approaches, the proposed scheme can achieve energy cost reduction, which increases with the battery capacity. I.

### Dynamic Pricing Policies for an Inventory Model with Random Windows of Opportunities

, 2015

"... We study a single-product fluid-inventory model in which the procurement price of the product fluc-tuates according to a continuous time Markov chain. We assume that a fixed order price, in addition to state-dependent holding costs are incurred, and that the depletion rate of inventory is determined ..."

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We study a single-product fluid-inventory model in which the procurement price of the product fluc-tuates according to a continuous time Markov chain. We assume that a fixed order price, in addition to state-dependent holding costs are incurred, and that the depletion rate of inventory is determined by the sell price of the product. Hence, at any time, the controller has to simultaneously decide on the selling price of the product and whether to order or not, taking into account the current procurement price and the inventory level. We consider two policies, derive the associated steady state distributions and cost functionals, and apply these to study these policies. 1