• Title/Summary/Keyword: Non-stationary demand

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Net Inventory Positions in Systems with Non-Stationary Poisson Demand Processes

  • Sung, Chang-Sup
    • Journal of the Korean Operations Research and Management Science Society
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    • v.6 no.2
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    • pp.51-55
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    • 1981
  • In both continuous-review and periodic-review non-stationary inventory systems, the non-stationary Poisson demand process and the associated inventory position processes were proved being mutually independent of each other, which lead to the probability distribution of the corresponding net inventory position process in the form of a finite product sum of those two process distributions. It is also discussed how these results can correspond to analytical stochastic inventory cost function formulations in terms of the probability distributions of the processes.

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Reinforcement leaning based multi-echelon supply chain distribution planning (강화학습 기반의 다단계 공급망 분배계획)

  • Kwon, Ick-Hyun
    • Journal of the Korea Safety Management & Science
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    • v.16 no.4
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    • pp.323-330
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    • 2014
  • Various inventory control theories have tried to modelling and analyzing supply chains by using quantitative methods and characterization of optimal control policies. However, despite of various efforts in this research filed, the existing models cannot afford to be applied to the realistic problems. The most unrealistic assumption for these models is customer demand. Most of previous researches assume that the customer demand is stationary with a known distribution, whereas, in reality, the customer demand is not known a priori and changes over time. In this paper, we propose a reinforcement learning based adaptive echelon base-stock inventory control policy for a multi-stage, serial supply chain with non-stationary customer demand under the service level constraint. Using various simulation experiments, we prove that the proposed inventory control policy can meet the target service level quite well under various experimental environments.

An Effectivity Analysis of Production Control Policies Based on Demand and Production Characteristics (수요 및 생산특성에 따른 생산통제 기법간의 효율성 분석에 대한 연구)

  • Lee, Jang-Han;Jeong, Han-Il;Park, Jin-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.2
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    • pp.403-420
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    • 1997
  • In this paper, we examine the effect of production uncertainty to production control policies. First, we examine two famous production control policies, namely, MRP and JIT from the view point of shop floor control perspective, and analyze the differences between them due to demand fluctuations and activity time variations. Second, we conduct simulation studies on MRP and JIT to draw out the effects of demand fluctuations and activity time variations. Demand fluctuations are further classified into demand lumpiness and demand irregularity. And, activity time variations are further classified into stationary time variations and non-stationary time variations. Experimental results show that, in terms of demand fluctuations, MRP is affected by demand lumpiness, but JIT by demand irregularity. And we also see that both MRP and JIT are influenced by stationary time variation with respect to activity time variations.

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Joint Replenishment Policy for Items with Non-stationary Demands (비정상적 수요를 갖는 품목들의 통합발주정책)

  • Yang, Young-Hyeon;Kim, Jong-Soo;Kim, Tai-Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.2
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    • pp.116-124
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    • 2012
  • This paper concerns a joint replenishment problem for a single buyer who sells multiple types of items to end-customers. The buyer periodically replenishes the inventory of each item to a preset order-up-to-level to satisfy the end customers' demands, which may be non-stationary. A joint replenishment policy characterized by variable order-up-to-levels is proposed for the buyer who wishes to minimize the expected cost of operating the retail system. The proposed policy starts each period by calculating the expected cost of ordering and not ordering action based on the information of the current inventory position and forecasted demand for the upcoming period. It then takes advantage of an integer programming model to get a cost effective joint replenishment plan. Computer experiment was performed to test efficiency of the proposed policy. When compared with the most efficient policy currently available, our policy showed a considerable cost savings especially for the problems having non-stationary demands.

A Forecast-based Inventory Control Policy for an Item with Non-stationary Demand (비정상 수요를 가진 품목을 위한 예측기반 재고정책)

  • Park, Sung-Il;Kim, Jong-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.37 no.3
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    • pp.216-228
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    • 2011
  • A logistics system involving a supplier who produces and delivers a single product and a buyer who receives and sells the product to the final customers is analyzed. In this system, the supplier and the buyer establish a contract which specifies that the supplier will deliver necessary amount of the product to raise inventory up to a specified position at the beginning of each period. A new periodic order-up-to-level inventory control policy specifically designed for nonstationary end customer's demand is proposed for the system. Simulations are used to test the efficiency of the proposed policy. An analysis of the test results reveals that the proposed policy performs much better than does the existing order-up-to-level policy, especially when the demand is nonstationary.

Estimation of Annual Minimal Probable Precipitation Under Climate Change in Major Cities (기후변화에 따른 주요 도시의 연간 최소 확률강우량 추정)

  • Park, Kyoohong;Yu, Soonyu;Byambadorj, Elbegjargal
    • Journal of Korean Society of Water and Wastewater
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    • v.30 no.1
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    • pp.51-58
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    • 2016
  • On account of the increase in water demand and climate change, droughts are in great concern for water resources planning and management. In this study, rainfall characteristics with stationary and non-stationary perspectives were analyzed using Weibull distribution model with 40-year records of annual minimum rainfall depth collected in major cities of Korea. As a result, the non-stationary minimum probable rainfall was expected to decrease, compared with the stationary probable rainfall. The reliability of ${\xi}_1$, a variable reflecting the decrease of the minimum rainfall depth due to climate change, in Wonju, Daegu, and Busan was over 90%, indicating the probability that the minimal rainfall depths in those city decrease is high.

An Adaptive Vendor Managed Inventory Model Using Action-Reward Learning Method (행동-보상 학습 기법을 이용한 적응형 VMI 모형)

  • Kim Chang-Ouk;Baek Jun-Geol;Choi Jin-Sung;Kwon Ick-Hyun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.3
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    • pp.27-40
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    • 2006
  • Today's customer demands in supply chains tend to change quickly, variously even in a short time Interval. The uncertainties of customer demands make it difficult for supply chains to achieve efficient inventory replenishment, resulting in loosing sales opportunity or keeping excessive chain wide inventories. Un this paper, we propose an adaptive vendor managed inventory (VMI) model for a two-echelon supply chain with non-stationary customer demands using the action-reward learning method. The Purpose of this model is to decrease the inventory cost adaptively. The control Parameter, a compensation factor, is designed to adaptively change as customer demand pattern changes. A simulation-based experiment was performed to compare the performance of the adaptive VMI model.

A Sufficient Condition for the Independence of Non-Stationary Demand Process and Inventory Position Process under < Q, r > Systems

  • Sung, C.S.
    • Journal of Korean Institute of Industrial Engineers
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    • v.8 no.1
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    • pp.22-28
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    • 1982
  • Under a continuous-review inventory system, the inventory position process was proved to be asymptotically independent of the general renewal demand processes, when the two processes form an asymptotic unimodel joint distribution. The analytical technique implemented through this work seems to be more like general, and so the periodic-review system can be similarly investigated. In conclusion, the results may be evaluated to direct to the analytical analyses of some inventory systems which have been treated under some restrictions on demand processes.

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A Study on the Multi-Level Distribution Policy of High Demand Rate Goods. (수요율이 높은 제품의 다단계 분배정책에 관한 연구)

  • 유형근;김종수
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.31
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    • pp.59-72
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    • 1994
  • This paper deals with ordering policies of consumable goods which have large demand rates in a multi-level distribution system. The system we are concerned consists of one Central Distribution Center(CDC) and N non-identical Regional Distribution Centers(RDCs) which have different demand rates, minimum fillrates, leadtimes, etc. The customer demand on the RDC is stationary poisson and the RDCs demand on the CDC is superposition of Q-stage Erlang distributions. We approximate the RDCs and CDC demand distribution to nomal in order to enhance the efficiency of algorithm. The relevant costs include a fixed ordering cost and inventory holding cost, and backorder cost. The objective is to find a continuous-review ordering policy that minimizes the expected average costs under constraints of minimum fill rates of RDCs and maximum allowable mean delay of CDC. We developed an algorithm for determining the optimal ordering policies of the CDC and the RDCs. We verified and compared the performance of the algorithm through the simulation using the algorithm result as the input parameters.

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Forecasting of Urban Daily Water Demand by Using Backpropagation Algorithm Neural Network (역전파 알고리즘을 이용한 상수도 일일 급수량 예측)

  • Rhee, Kyoung Hoon;Moon, Byoung Seok;Oh, Chang Ju
    • Journal of Korean Society of Water and Wastewater
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    • v.12 no.4
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    • pp.43-52
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    • 1998
  • The purpose of this study is to establish a method of estimating the daily urban water demend using Backpropagation algorithm is part of ANN(Artificial Neural Network). This method will be used for the development of the efficient management and operations of the water supply facilities. The data used were the daily urban water demend, the population and weather conditions such as treperarture, precipitation, relative humidity, etc. Kwangju city was selected for the case study area. We adjusted the weights of ANN that are iterated the training data patterns. We normalized the non-stationary time series data [-1,+1] to fast converge, and choose the input patterns by statistical methods. We separated the training and checking patterns form input date patterns. The performance of ANN is compared with multiple-regression method. We discussed the representation ability the model building process and the applicability of ANN approach for the daily water demand. ANN provided the reasonable results for time series forecasting.

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