• Title/Summary/Keyword: Optimal Order Point

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A Study on the (Q, r) Inventory Model under the Lead Time Uncertainty and its Application to the Multi-level Distribution System (주문 인도기간이 불확실한 상황에서의 (Q, r) 재고 부형과 다단계 분배 시스템의 응용에 관한 연구)

  • 강석호;박광태
    • Journal of the Korean Operations Research and Management Science Society
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    • v.11 no.1
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    • pp.44-50
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    • 1986
  • In this paper, we find optimal policy for the (Q, r) inventory model under the lead time uncertainty. The (Q, r) inventory model is such that the fixed order quantity Q is placed whenever the level of on hand stock reaches the reorder point r. We first develop the single level inventory model as the basis for the analysis multi-level distribution systems. The functional problem is to determine when and how much to order in order to minimize the expected total cost per unit time, which includes the set up, inventory holding and inventory shortage cost. The model, then, is extended to the multi-level distribution system consisting of the factory, warehouses and retailers. In this case, we also find an optimal policy which minimizes the total cost of the contralized multi-level distribution system.

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A Study on the Congestion Management by OPF in the Electricity Power Market with the Bidding Function (입찰함수에 의한 전력거래에서의 최적조류 계산에 의한 혼잡비용 처리연구)

  • Kim, Gwang-Ho;Jeong, Jae-Ok
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.8
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    • pp.374-379
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    • 2000
  • The nodal marginal cost and the congestion charge are used as the econimic signals for the electricity price and new invetments in deregulated power systems. In this paper, the nodal marginal cost and the congestion charge are calculated by using the shadow prices resulted from the calculation of Optimal Power Flow(OPF). Linearization of inequality constraints and piecewise linear cost functions make an OPF problem LP-based forms. In order to use the shadow price, the Interior Point(IP) algorithm is applied as a solution technique to the formulation. This paper proposes an algorithm to determine efficients initial points which are guaranteed to be interior points.

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Design of a Fuzzy Controller for Position Control and Anti-Swing in Container Crane Systems Using Genetic Algorithms (유전알고리즘을 이용한 컨테이너 크레인 시스템의 위치제어 및 흔들림 억제를 위한 퍼지 제어기 설계)

  • 정형환;허동렬;오경근;주석민;안병철
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.6
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    • pp.53-60
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    • 2000
  • In this paper, we design a GA-fuzzy controller for position control and anti-swing at the destination point. A genetic algorithm is used to complement the demerits such as the difficulty of the component selection of the fuzzy controller, namely, scaling factors, membership functions and control rules. Lagrange equation is used to represent the motion equation of trolley and load in order to obtain mathematical modelling. Simulation results show that the proposed control technique is superior to a conventional optimal control in destination point moving and modification.

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Three-Level Optimal Control of Nonlinear Systems Using Fast Walsh Transform (고속월쉬변환을 이용한 비선형 시스템의 3계층 최적제어)

  • Kim, Tai-Hoon;Shin, Seung-Kwon;Cho, Young-Ho;Lee, Han-Seok;Lee, Jae-Chun;Ahn, Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.11
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    • pp.505-513
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    • 2001
  • This paper presents the new three-level optimal control scheme for the large scale nonlinear systems, which is based on fast walsh transform. It is well known that optimization for nonlinear systems leads to the resolution of a nonlinear two point boundary value problem which always requires a numerical iterative technique for their solution. However, Three-level costate coordination can avoid two point boundary condition in subsystem. But this method also has the defect that must solve high order differential equation in intermediate level. The proposed method makes use of fast walsh transform, therefore, is simple in computation because of solving algebra equation instead of differential equation.

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Asset Buying Problem with Consideration of the Budget Constraints and Loan (예산 제약과 대출을 고려한 자산 매입 문제)

  • Son, Jae-Dong
    • IE interfaces
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    • v.24 no.4
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    • pp.295-303
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    • 2011
  • This paper presents a discrete time optimal asset buying problem with a predetermined final deadline where an available budget is limited. A cost is paid to search for assets called the search cost. A seller who shows up offers a price for the asset and then the buyer decides whether or not to buy the asset by comparing the offered price to his optimal selection threshold. When the budget becomes less than the search cost or the price of the asset the buyer can get a necessary loan with some interests. We clarify the properties of the buyer's optimal selection threshold in order to maximize the expected value of budget which is left after paying all the search costs and the price of the asset at that point in time.

A Study on Determining the Optimal Number of Equipment Spares under Availability Consideration (가용도를 고려한 장비의 최적 예비부품수 결정에 관한 연구)

  • Park Beom-Chang;Gang Seong-Jin
    • Journal of the military operations research society of Korea
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    • v.16 no.2
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    • pp.83-95
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    • 1990
  • This paper addresses the problem of determining the optimal number of spares for a system consisting of multi-item parts. In commercial sector, the cost minimization is mainly considered as an objective functions in most inventory models. However, in the military inventory systems, it is more stressed on maximizing the system availability than minimizing the system cost because the field commander always wants the system to be in perfect working condition to prepare against an emergence case. In this point of view, this paper develops an inventory model which decides the optimal number of spares by minimizing units short and simultaneously achieving a certain level of system availability. Solution algorithms are derived using the generalized Lagrange multiplier approach and marginal analysis approach. Sample data and output results are provided and sensitivity analysis is performed as the level of system availability changes in order to decide the optimal number of spares and availability in terms of economic sense.

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An Adaptive Optimization Algorithm Based on Kriging Interpolation with Spherical Model and its Application to Optimal Design of Switched Reluctance Motor

  • Xia, Bin;Ren, Ziyan;Zhang, Yanli;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • v.9 no.5
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    • pp.1544-1550
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    • 2014
  • In this paper, an adaptive optimization strategy utilizing Kriging model and genetic algorithm is proposed for the optimal design of electromagnetic devices. The ordinary Kriging assisted by the spherical covariance model is used to construct surrogate models. In order to improve the computational efficiency, the adaptive uniform sampling strategy is applied to generate sampling points in design space. Through several iterations and gradual refinement process, the global optimal point can be found by genetic algorithm. The proposed algorithm is validated by application to the optimal design of a switched reluctance motor, where the stator pole face and shape of pole shoe attached to the lateral face of the rotor pole are optimized to reduce the torque ripple.

Acoustic Signal based Optimal Route Selection Problem: Performance Comparison of Multi-Attribute Decision Making methods

  • Borkar, Prashant;Sarode, M.V.;Malik, L. G.
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.2
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    • pp.647-669
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    • 2016
  • Multiple attribute for decision making including user preference will increase the complexity of route selection process. Various approaches have been proposed to solve the optimal route selection problem. In this paper, multi attribute decision making (MADM) algorithms such as Simple Additive Weighting (SAW), Weighted Product Method (WPM), Analytic Hierarchy Process (AHP) method and Total Order Preference by Similarity to the Ideal Solution (TOPSIS) methods have been proposed for acoustic signature based optimal route selection to facilitate user with better quality of service. The traffic density state conditions (very low, low, below medium, medium, above medium, high and very high) on the road segment is the occurrence and mixture weightings of traffic noise signals (Tyre, Engine, Air Turbulence, Exhaust, and Honks etc) is considered as one of the attribute in decision making process. The short-term spectral envelope features of the cumulative acoustic signals are extracted using Mel-Frequency Cepstral Coefficients (MFCC) and Adaptive Neuro-Fuzzy Classifier (ANFC) is used to model seven traffic density states. Simple point method and AHP has been used for calculation of weights of decision parameters. Numerical results show that WPM, AHP and TOPSIS provide similar performance.

Validity of MAST-CLA for diagnosis of arthropod allergy using receiver operating characteristic (ROC) analysis

  • Park, Joon-Soo;Nam, Hae-Seon;Kim, Yong-Bae;Choi, Young-Jin;Lee, Sang-Han;Kim, Sung-Ho
    • Parasites, Hosts and Diseases
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    • v.45 no.3
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    • pp.239-243
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    • 2007
  • Many allergists are currently focusing on the development of new diagnostic tools, and are attempting to improve both the sensitivity and specificity. A multiple allergen simultaneous test-chemiluminescent assay (MAST-CLA) is one of the most popular diagnostic tools used in the Republic of Korea. However, there remains controversy among allergists with regard to the cut-off point for a positive result. The present study was conducted in order to determine the validity of MAST-CLA as compared with that of the skin prick test, with particular emphasis on arthropod allergens, on the basis of percentage agreement rates and k-values, and also to suggest the optimal positive cutoff points using receiver operating characteristic (ROC) curves. The study was conducted with 97 subjects (54 men, 43 women). Optimal individual cut-off points were calculated as follows; class II for Dermatophagoides farinae, class I for Dermatophagoides pteronyssinus, and trace for a cockroach mix. These findings suggest that attempting to apply optimal individual cut-off points will be a good way of improving diagnostic tests, particularly MAST-CLA.

The Value of a Warehouse : Whether to have a warehouse or not (물류센터의 경제성 평가를 위한 수리모델 및 고려요소에 관한 제언)

  • 김종대;강경식
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.18 no.34
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    • pp.193-204
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    • 1995
  • Many studies show that the value of the warehouse is good. However, studies explicitly mention the tradeoff between costs of operating the warehouse and benefits from the warehouse. Also, it is important to know when the benefits overcome the costs. We study a one-warehouse/N-retailer(s,Q) distribution system with stochastic lead times in order to answer two questions: "What are the optimal policies of the system that minimizes total system costs\ulcorner" and given the optimal policies, "Is the value of the warehouse always good\ulcorner" We use an analytical model for answering the questions. We find that the optimal policies are different from those with deterministic lead times. In fact it is reverse. We alse find the existence of the breakeven point beyond which the benefits starts overcomming the costs. And, we show that one of the breakeven points is the mean ratio of a supplier's lead time to transportation lead time between the warehouse and the retailer. Finally, we show that the breakeven point is sensitive to the ratio of holding costs of the warehouse and the retailer and it is also sensitive to the unit backorder costs at the retailer.sts at the retailer.

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