• Title/Summary/Keyword: Fixed Quantity Model

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Distributor's Lot-sizing and Pricing Policy with Ordering Cost inclusive of a Freight Cost under Trade Credit in a Two-stage Supply Chain

  • Shinn, Seong-Whan
    • International Journal of Advanced Culture Technology
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    • v.8 no.1
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    • pp.62-70
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    • 2020
  • As an effective means of price discrimination, some suppliers offer trade credit to the distributors in order to stimulate the demand for the product they produce. The availability of the delay in payments from the supplier enables discount of the distributor's selling price from a wider range of the price option in anticipation of increased customer's demand. Since the distributor's lot-size is affected by the demand for the customer, the distributor's lot-size and the selling price determination problem is interdependent and must be solved at the same time. Also, in many common business transactions, the distributor pays the shipping cost for the order and hence, the distributor's ordering cost consists of a fixed ordering cost and the shipping cost that depend on the order quantity. In this regard, we deal with the joint lot-size and price determination problem when the supplier allows delay in payments for an order of a product. The positive effects of credit transactions can be integrated into the EOQ (economic order quantity) model through the consideration of retailing situations, where the customer's demand is a function of the distributor's selling price. It is also assumed that the distributor's order cost consists of a fixed ordering cost and the variable shipping cost. We formulate the distributor's mathematical model from which the solution algorithm is derived based on properties of an optimal solution. A numerical example is presented to illustrate the algorithm developed.

The Use of Particle Swarm Optimization for Order Allocation Under Multiple Capacitated Sourcing and Quantity Discounts

  • Ting, Ching-Jung;Tsai, Chi-Yang;Yeh, Li-Wen
    • Industrial Engineering and Management Systems
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    • v.6 no.2
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    • pp.136-145
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    • 2007
  • The selection of suppliers and the determination of order quantities to be placed with those suppliers are important decisions in a supply chain. In this research, a non-linear mixed integer programming model is presented to select suppliers and determine the order quantities. The model considers the purchasing cost which takes into account quantity discount, the cost of transportation, the fixed cost for establishing suppliers, the cost for holding inventory, and the cost of receiving poor quality parts. The capacity constraints for suppliers, quality and lead-time requirements for the parts are also taken into account in the model. Since the purchasing cost, which is a decreasing step function of order quantities, introduces discontinuities to the non-linear objective function, it is not easy to employ traditional optimization methods. Thus, a heuristic algorithm, called particle swarm optimization (PSO), is used to find the (near) optimal solution. However, PSO usually generates initial solutions randomly. To improve the PSO solution quality, a heuristic procedure is proposed to find an initial solution based on the average unit cost including transportation, purchasing, inventory, and poor quality part cost. The results show that PSO with the proposed initial solution heuristic provides better solutions than those with PSO algorithm only.

A Stochastic Partial Backorder Inventory System with a linear Backorder Ratio (선형 부재고비율(線形 負在庫比率)을 갖는 확률적 부분부재고(確率的 部分負在庫)시스템에 관한 연구(硏究))

  • Lee, Kang-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.3
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    • pp.105-116
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    • 1994
  • This paper presents an inventory model with partial backorders for the situation in which demand is deterministic, lead time follows normal distribution and back order ratio during the stockout period varies in proportion to the length of backorder period In this situations, an objective function is formulated to minimize a time-proportional backorder cast and a fixed penalty cost per unit lost. And then the procedure of iterative solution method for the model is developed to find optimal reorder paint and order quantity and a numerical example to illustrate the proposed method is presented.

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A FOQ Model for Spare-Part Inventory Control (예비품(豫備品) 재고관리(在庫管理)를 위한 정량발주모형(定量發注模型))

  • Jeong, Sang-Il;Sin, Ju-Hang;Park, Yeong-Taek
    • Journal of Korean Society for Quality Management
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    • v.18 no.2
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    • pp.9-17
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    • 1990
  • This paper deals with a FOQ( ; fixed-order quantity) model for spare-part inventory control. In a spare-part inventory problem, stock depletion arises not from external market demand but from internal demand resulting from failures of parts in use. The problem differs from the classical inventory problem in that the demand for a failed part never arises more during stockout period, since the unit remains inoperative when stockout occurs until the failed part is replaced by new one. In the problem under consideration, n identical units are operating simultaneously and failed one is replaced immediately by new one if on-hand spares remain. In order to replenish spares, an order with quantity Q is placed whenever the number of on-hand spares falls to levels. The average annual cost of operating the spare-part inventory system is derived under the assumption that both lifetime of a part and replenishment lead-time distributions are exponential.

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Stress Analysis of Blanking Plate Applied by Press (프레스에 의한 블랭킹 판재의 응력 해석)

  • Cho, Jae-Ung;Han, Moon-Sik
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.2
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    • pp.66-71
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    • 2008
  • The data of the deformation and the stress according to time are studied at upper model of press and lower model of the blanking plate applied by press with the width, length and height of 0.4 m and 0.6 m respectively. The press is pushing downward on the plate fixed at the lower floor. These data are compared and investigated through this study. By using these results, there is the maximum deformation at 4 corners in the lower plate model of aluminium alloy fixed at lower floor. This deformation incase of elapsed time of 0.6 second becomes 4 times as much as in case of elapsed time of 0.2 second. The quantity of deformation at the lower plate model becomes more than at the upper press model to the extent of 10%. At the lower plate model of aluminium alloy, there is the maximum Von-Mises equivalent stress at 4 corners and both sides of middle area on the lower plate model of aluminium alloy. This stress in case of elapsed time of 0.6 second becomes 6 times as much as in case of elapsed time of 0.2 second. The Von-Mises equivalent stress of lower plate model becomes 2 times as much as that of upper press mode.

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The Effect of Bee Venom Pharmacopuncture Therapy on the Condition of Different Concentration in Rheumatoid Arthritis Rat Model (흰쥐의 류마티스 관절염 모델에서 봉약침의 농도별 처리 조건에 따른 치료 효과)

  • You, Deok-Seon;Yeom, Seung-Ryong;Lee, Su-Kyung;Kwon, Young-Dal;Song, Yung-Sun
    • Journal of Korean Medicine Rehabilitation
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    • v.21 no.2
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    • pp.101-123
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    • 2011
  • Objectives : The aim was to study the effect of bee venom pharmacopuncture therapy with different concentration on rheumatoid arthritis rat model. Methods : We enforced a bee venom pharmacopuncture therapy with different concentration on rheumatoid arthritis rat model by the intradermal injection of chicken type II collagen emulsified. 14 days after the onset of the rheumatoid arthritis rat model, a fixed volume of bee venom was daily injected to ST-35 acupoint in the rat's knee joint for 2-3 weeks. The hind paw volume, arthritic index, arthritic flexion pain test, pain threshold, and serum analysis (CRP, $PGE_2$, ALT, AST) were analyzed, and the expression profiles of COX-2, c-fos, and substance-P at the dorsal horn region of the spinal cord and subchondral bone of the knee joint were also analyzed by using the immunohistochemistry. Results : After the treatment of rheumatoid arthritis rats with bee venom pharmacopuncture, the paw volume of edema of arthritic rats were almost restored to the level of normal group, and behavior tests were very effective. Also the evaluation on the blood serum analysis was remarkable. COX-2, c-fos, and substance-P positive cells in the immunohistological section of dorsal horn region of the spinal cord and subchondral bone of the knee joints were significantly decreased. also the bee venom pharmacopuncture was effective to alleviate their rheumatoid arthritic inflammation cytokine inhibition as regards to the behavior tests and joint histological appearance. Conclusions : Based on the results in this study, bee venom pharmacopuncture with concentrated treatment condition was very effective in low fixed quantity and progressive low increased quantity.

Integrated production planning in supply chain management environment considering manufacturing partners (SCM 환경에서의 협력 생산을 고려한 통합 생산 계획에 관한 연구)

  • Jeong Ho Sang;Jeong Bong Ju
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.363-370
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    • 2002
  • This paper presents a production planning algorithm for minimizing the costs of production and subcontracting in SCM (supply chain management) environment. In our SCM environment, the several local plants that aye dispersed geographically produce parts and products. In this environment, we have to decide the production volumes of both parts and products considering the BOM (bill-of-material) structure to meet the fixed order quantity or forecasted demand quantity. Each plant produces the specified parts of product with finite production capacity. There exist subcontracting decisions relevant to the production capacity of each plant except the core process plant, and when we use the subcontractor's capacities we should be charged for the fixed subcontracting fees. The objective of this study is to solve the production planning problem, which minimizes the total costs of production, inventory, setup, and subcontracting under constraints of production and subcontracting capacity. For this problem, an integrated production planning model based on the multi-level capacitated lot sizing problem was formulated, and efficient decomposition algorithm was proposed. The experimental investigation shows that the proposed heuristic generates quite good solutions at very low computational costs.

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Selective Permeate Transport Characteristics of Iodine ion at Cell Membrane Model of Thyroid which Irradiated by High Energy X-Ray (고에너지 엑스선을 조사한 갑상선의 세포막모델에서 요오드이온의 선택적 투과성 전달 특성)

  • Ko, In-Ho;Yeo, Jin-Dong
    • Journal of the Korean Society of Radiology
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    • v.15 no.2
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    • pp.229-238
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    • 2021
  • The selective permeate transport characteristics of iodine ion at follicle cell membrane model in thyroid which irradiated by high energy x-ray(linac 6 MV) was investigated. The follicle cell membrane model used in this experiment was a polysulfonated copolymerized membrane of poly(4-vinylpyridine-co-acrylonitrile:VP-AN). The difference of membrane thickness [2 mole AN%(w/w)], fixed carrier concentration[VP-AN%(w/w)], OH- concentration were occurred at difference of I- concentration and quantity of thyroid hormone, respectively. The tensile strength in fixed carrier concentration[VP-AN% (w/w): 0-62 %] of irradiated membrane was found to be decreased about 1.2-1.8 times than non-irradiated membrane. The I- selective permeate initial flux with increase of membrane thickness [2mole AN%(w/w)], fixed carrier concentration[VP-AN%(w/ w)], OH- concentration in irradiated membrane were found to be decreased about 2.1-4.5 times, about 2.2-2.5 times, about 2.1-2.67 times than non-irradiated membrane, respectively. As a result, the quantity of thyroid hormone was decreased at irradiated membrane than non-irradiated membrane. The decrease of thyroid hormone was occurred at hypothyroidism and hyperthyroidism, thyroid cancer, and so on. As the thyroid hormone in cell membrane model were abnormal, cell damages were appeared at cell.

A Comparison of Influence Diagnostics in Linear Mixed Models

  • Lee, Jang-Taek
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.125-134
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    • 2003
  • Standard estimation methods for linear mixed models are sensitive to influential observations. However, tools and concepts for linear mixed model diagnostics are rudimentary until now and research is heavily demanded in linear mixed models. In this paper, we consider two diagnostics to evaluate the effects of individual observations in the estimation of fixed effects for linear mixed models. Those are Cook's distance and COVRATIO. Results of our limited simulation study suggest that the Cook's distance is not good statistical quantity in linear mixed models. Also calibration point for COVRATIO seems to be quite conservative.

Cooperative Pricing and Ordering Policies in a Single-Manufacturer-Single-Retailer Supply Chain (2단계 공급사슬의 협력적 가격 및 재고 정책)

  • Kim, Jeong-Gyu;Hong, Yu-Sin;Park, Jun-Hyeok;Go, Sang-Jin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.323-326
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    • 2006
  • We investigate pricing and ordering policies in a supply chain consisting of a single manufacturer and a single retailer. Demand at the retailer depends on the retail price and is assumed to be constant over time for the fixed price. The retailer places orders according to an EOQ policy and the manufacturer produces the order quantity according to a lot-for-lot policy. The retailer and the manufacturer cooperates each other to maximize the average profit for the supply chain. A mathematical model is presented and a solution procedure is developed to determine the optimal retail price and order quantity.

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