• 제어로봇시스템학회논문지
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• 제7권10호
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• pp.867-873
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• 2001

The purpose of this study is to find analytic solution of determining the optimal capacity (lot-size) of multiproduct acyclic multistage production and inventory system to meet the finished product demand under the constraint of finite intermediate storage. Intermediate storage is a practical way to mitigate the material flow imbalance through the line of supply and demand chain. However, the cost of constructing and operating storage facilities is becoming substantial because of increasing land value, environmental and safety concern. Therefore, reasonable decision-making about the capacity of processes and storage units is an important subject for industries. The industrial solution for this subject is to use the classical economic lot sizing method, EOQ/EPQ(Economic Order Quantity/Economic Production Quantity) model, incorporated with practical experience. But EOQ/EPQ model is not suitable for the chemical plant design with highly interlinked processes and storage units because it is developed based on single product and single stage. This study overcomes the limitation of the classical lot sizing method. The superstructure of the plant consists of the network of serially and/or parallelly interlinked non-continuous processes and storage units. The processes transform a set of feedstock materials into another set of products with constant conversion factors. A novel production and inventory analysis method, PSW(Periodic Square Wave) model, is applied to describe the detail material flows among equipments. The objective function of this study is minimizing the total cost composed of setup and inventory holding cost. The advantage of PSW model comes from the fact that the model provides a set of simple analytic solutions in spite of realistic description of the material flows between processes and storage units. the resulting simple analytic solution can greatly enhance the proper and quick investment decision for the preliminary plant design problem confronted with economic situation.

• 제어로봇시스템학회논문지
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• 제17권9호
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• pp.932-940
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• 2011

This paper presents an integrated analysis of supply chain and financing decisions of multi-national corporation. We construct a model in which multiple currency storage units are installed to manage the currency flows associated with multi-national supply chain activities such as raw material procurement, process operation, inventory control, transportation and finished product sales. Core contribution of this study is to quantitatively investigate the influence of macroscopic economic factors such as exchange rates and taxes on operational decisions. The supply chain is modeled by the Process-Storage Network with recycle streams. The objective function of the optimization is minimizing the opportunity costs of annualized capital investments and currency/material inventories minus the benefit to stockholders interpreted by home currency. The major constraints of the optimization are that the material and currency storage units must not be depleted. A production and inventory analysis formulation, the periodic square wave (PSW) model, provides useful expressions for the upper/lower bounds and average levels of the currency and material inventory holdups. The expressions for the Kuhn-Tucker conditions of the optimization problem are reduced to a subproblem and analytical lot sizing equations. The procurement, production, transportation and financial transaction lot sizes can be determined by analytical expressions after the average flow rates are already known. We show that, when corporate income tax is taken into consideration, the optimal production lot and storage sizes are smaller than is the case when such factors are not considered typically by 20 %.

• 제어로봇시스템학회논문지
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• 제16권3호
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• pp.305-312
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• 2010

The aim of this study is to find an analytic solution to the problem of determining the optimal capacity of a batch-storage network to meet demand for finished products in a system undergoing joint random variations of operating time and batch material loss. The superstructure of the plant considered here consists of a network of serially and/or parallel interlinked batch processes and storage units. The production processes transform a set of feedstock materials into another set of products with constant conversion factors. The final product demand flow is susceptible to joint random variations in the cycle time and batch size. The production processes have also joint random variations in cycle time and product quantity. The spoiled materials are treated through regeneration or waste disposal processes. The objective function of the optimization is minimizing the total cost, which is composed of setup and inventory holding costs as well as the capital costs of constructing processes and storage units. A novel production and inventory analysis the PSW (Periodic Square Wave) model, provides a judicious graphical method to find the upper and lower bounds of random flows. The advantage of this model is that it provides a set of simple analytic solutions while also maintaining a realistic description of the random material flows between processes and storage units; as a consequence of these analytic solutions, the computation burden is significantly reduced. The proposed method has the potential to rapidly provide very useful data on which to base investment decisions during the early plant design stage. It should be of particular use when these decisions must be made in a highly uncertain business environment.

• Korean Chemical Engineering Research
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• 제45권3호
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• pp.249-257
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• 2007

사각파 모형은 회분식 공정-저장조 망구조의 최적설계에 성공적으로 적용되었다. 설계된 망구조는 재순환 흐름을 포함하는 회분식의 모든 생산 재고 및 분배 체계를 내포한다. 본 연구에는 사각파 모형의 적용범위를 연속 또는 회분식 공정 뿐 만 아니라 반연속 공정에 까지 확대하려 한다. 이전의 연구에서는 원료조성이나 제품수율은 알려진 상수로 취급되었다. 본 연구에서는 이러한 제약이 완화되어 원료조성이나 제품 수율이 최적화 되어져야 하는 독립변수로 취급된다. 이러한 수정은 정유공장에서 흔히 접하는 최적제품 배합문제를 취급할 수 있게 한다. 원료조성과 제품수율이 독립변수일 때 발생하는 많은 문제의 복잡성에도 불구하고 사각파 모형은 여전히 해석적인 최적용량 공식을 제공한다. 최적공장설계에 적용되는 본 연구의 유용성은 고밀도 폴리에틸렌 공장설계의 예를 통해 나타내었다. 연구결과를 토대로 모든 공정의 최적성을 비교할 수 있는 척도를 제시하였다. 이 척도는 다수의 공정의 성능을 직접 비교할 수 있게 하므로 공정의 상태를 진단하는 유용한 도구가 될 것이다. 공정의 비용이 유속의 제곱근에 비례한다는 결과는 공장설계에서 늘리 알려진 6/10 경험법칙과 유사하다.

• Korean Chemical Engineering Research
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• 제46권3호
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• pp.585-597
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• 2008

본 연구의 목적은 가동 시간과 생산량에 있어서 무작위 변동을 일으키는 공정 시스템에서 최종 제품의 수요를 만족하는 공정-저장조 망구조의 최적용량을 결정하는 문제의 해석적인 해를 유도하는 것이다. 여기서 논의되는 공장의 구조는 회분식 공정과 저장조가 병렬 또는 직렬로 연결된 망구조를 구성하고 있다. 생산공정은 다수의 원료물질을 다수의 제품으로 일정 비율로 전환한다. 최종제품의 수요는 주문주기와 물량이 무작위 변동을 일으킨다. 일부 생산공정은 생산량에 있어서 무작위 변동을 일으키며, 오염된 물질은 재생공정이나 폐기과정을 거쳐서 처리된다. 다른 공정들은 모두 가동시간이 무작위로 변한다. 최적화의 목적함수는 총비용을 최소화하는 것인데, 여기서 총비용은 준비비와 재고 유지비 그리고 공정과 저장조의 자본비용으로 구성되어 있다. 새로운 생산 재고 분석도구인 사각파 모형은 무작위 흐름의 상한값과 하한값을 계산하는 도형적 방법을 제공한다. 이 모형의 장점은 공정과 저장조 사이의 무작위 흐름을 사실적으로 묘사하면서도 간단한 해석적인 해를 제공하는데 있다. 결과적으로 계산량이 획기적으로 줄어든다.

• 제어로봇시스템학회논문지
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• 제9권5호
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• pp.407-412
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• 2003

An effective methodology is .reported for determining the optimal capacity (lot-size) of batch processing and storage networks which include material recycle or reprocessing streams. We assume that any given storage unit can store one material type which can be purchased from suppliers, be internally produced, internally consumed and/or sold to customers. We further assume that a storage unit is connected to all processing stages that use or produce the material to which that storage unit is dedicated. Each processing stage transforms a set of feedstock materials or intermediates into a set of products with constant conversion factors. The objective for optimization is to minimize the total cost composed of raw material procurement, setup and inventory holding costs as well as the capital costs of processing stages and storage units. A novel production and inventory analysis formulation, the PSW(Periodic Square Wave) model, provides useful expressions for the upper/lower bounds and average level of the storage inventory hold-up. The expressions for the Kuhn-Tucker conditions of the optimization problem can be reduced to two subproblems. The first yields analytical solutions for determining batch sizes while the second is a separable concave minimization network flow subproblem whose solution yields the average material flow rates through the networks. For the special case in which the number of storage is equal to the number of process stages and raw materials storage units, a complete analytical solution for average flow rates can be derived. The analytical solution for the multistage, strictly sequential batch-storage network case can also be obtained via this approach. The principal contribution of this study is thus the generalization and the extension to non-sequential networks with recycle streams. An illustrative example is presented to demonstrate the results obtainable using this approach.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2004년도 ICCAS
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• pp.1859-1864
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• 2004

An effective methodology is reported for the optimal design of multisite batch production/transportation and storage networks under uncertain demand forecasting. We assume that any given storage unit can store one material type which can be purchased from suppliers, internally produced, internally consumed, transported to or from other plant sites and/or sold to customers. We further assume that a storage unit is connected to all processing and transportation stages that consume/produce or move the material to which that storage unit is dedicated. Each processing stage transforms a set of feedstock materials or intermediates into a set of products with constant conversion factors. A batch transportation process can transfer one material or multiple materials at once between plant sites. The objective for optimization is to minimize the probability averaged total cost composed of raw material procurement, processing setup, transportation setup and inventory holding costs as well as the capital costs of processing stages and storage units. A novel production and inventory analysis formulation, the PSW(Periodic Square Wave) model, provides useful expressions for the upper/lower bounds and average level of the storage inventory. The expressions for the Kuhn-Tucker conditions of the optimization problem can be reduced to two sub-problems. The first yields analytical solutions for determining lot sizes while the second is a separable concave minimization network flow subproblem whose solution yields the average material flow rates through the networks for the given demand forecast scenario. The result of this study will contribute to the optimal design and operation of large-scale supply chain system.

• 제어로봇시스템학회논문지
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• 제11권11호
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• pp.956-962
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• 2005

This paper presents an integrated analysis of production and financing decisions. We assume that a cash storage unit is installed to manage the cash flows related with production activities such as raw material procurement, process operating setup, Inventory holding cost and finished product sales. Temporarily financial investments are allowed for more profit. The production plant is modeled by the Batch-Storage Network with Recycle Streams in Yi and Reklaitis (2003). The objective function of the optimization is minimizing the opportunity costs of annualized capital investment and cash/material inventory while maximizing stockholder's benefit. No depletion of all the material and cash storage units is major constraints of the optimization. A novel production and inventory analysis formulation, the PSW(Periodic Square Wave) model, provides useful expressions for the upper/lower bounds and average level of the cash and material inventory holdups. The expressions for the Kuhn-Tucker conditions of the optimization problem can be reduced to two subproblems and analytical lot sizing equations under a mild assumption about the cash flow pattern of stockholder's dividend. The first subproblem is a separable concave minimization network flow problem whose solution yields the average material flow rates through the networks. The second subproblem determines the decisions about financial Investment. Finally, production and financial transaction lot sizes and startup times can be determined by analytical expressions as far as the average flow rates are calculated. The optimal production lot and storage sizes considering financial factors are smaller than those without such consideration. An illustrative example is presented to demonstrate the results obtainable using this approach.

• 제어로봇시스템학회논문지
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• 제10권6호
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• pp.537-544
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• 2004

An effective methodology is reported for determining the optimal lot size of batch processing and storage networks which include uncertain demand forecasting. We assume that any given storage unit can store one material type which can be purchased from suppliers, internally produced, infernally consumed, transported to or from other sites and/or sold to customers. We further assume that a storage unit is connected to all processing and transportation stages that consume/produce or move the material to which that storage unit is dedicated. Each processing stage transforms a set of feedstock materials or intermediates into a set of products with constant conversion factors. A batch transportation process can transfer one material or multiple materials at once between sites. The objective for optimization is to minimize the probability averaged total cost composed of raw material procurement, processing setup, transportation setup and inventory holding costs as well as the capital costs of processing stages and storage units. A novel production and inventory analysis formulation, the PSW(Periodic Square Wave) model, provides useful expressions for the upper/lower bounds and average level of the storage inventory. The expressions for the Kuhn-Tucker conditions of the optimization problem can be reduced to two sub-problems. The first yields analytical solutions for determining lot sires while the second is a separable concave minimization network flow subproblem whose solution yields the average material flow rates through the networks for the given demand forecast scenario. The result of this study will contribute to the optimal design and operation of the global supply chain.

• 한국전자파학회논문지
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• 제26권4호
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• pp.397-403
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• 2015

본 논문은 임펄스 초광대역 레이다를 이용한 ISAR 영상의 기하보정 방법에 대해 서술하였다. 임펄스 초광대역 레이다는 시간영역에서 신호처리를 하므로 다중 경로, 간섭 문제 등이 일어나지 않는 장점이 있다. 안테나와 대상체 사이의 송수신 신호를 평면파라고 가정하면, ISAR 기하 모델에서 회전축의 중심을 점표적을 이용하여 계산한다. 수신 데이터에서 합성을 수행하기 전, 점표적은 최대 점의 위치를 최소 자승법으로 근사하여 회전축의 중심을 알아낼 수 있다. 이 방법은 대조비가 더 뛰어난 영상을 얻을 수 있었고, 엔트로피도 가장 큰 값을 가질 수 있었다. 이러한 방법은 장비를 최초 작동하거나 주기적으로 사용되어서 회전축의 중심을 보상하여 영상 합성을 할 것이다. 의료나 보안 감시와 같은 고정된 기하를 가지는 영상화 장비에서 유용하게 사용될 것이다.