• Title/Summary/Keyword: Single-period Inventory Problem

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Joint Replenishment Problem for Single Buyer and Single Supplier System Having the Stochastic Demands (확률적 수요를 갖는 단일구매자와 단일공급자 시스템의 다품목 통합발주문제)

  • Jeong, Won-Chan;Kim, Jong-Soo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.3
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    • pp.91-105
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    • 2011
  • In this paper, we analyze a logistic system involving a supplier who produces and delivers multiple types of items and a buyer who receives and sells the products to end customers. The buyer controls the inventory level by replenishing each product item up to a given order-up-to-level to cope with stochastic demand of end customers. In response to the buyer's order, the supplier produces or outsources the ordered item and delivers them at the start of each period. For the system described above, a mathematical model for a single type of item was developed from the buyer's perspective. Based on the model, an efficient method to find the cycle length and safety factor which correspond to a local minimum solution is proposed. This single product model was extended to cover a multiple item situation. From the model, algorithms to decide the base cycle length and order interval of each item were proposed. The results of the computational experiment show that the algorithms were able to determine the global optimum solution for all tested cases within a reasonable amount of time.

A Seat Inventory Management Model in the Presence of Dependent Demands (종속적 수요를 반영하는 좌석재고 할당 모형)

  • Kim, Sang-Won
    • Korean Management Science Review
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    • v.27 no.2
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    • pp.67-79
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    • 2010
  • When airlines sell the same seats on an air flight at different fares, demand for a fare class depends on demand for other fare classes due to demand dependency. Demand dependencies occur when customers will buy other fare class tickets if the originally requested fare were unavailable, or when customers postpone their purchase decisions in anticipation of reopening of the lower fare in the next period. Demand dependency as a result customer buying behavior has a considerable profit implication, which was ignored in many earlier studies. We investigate the impact of demand dependency on the optimal booking limits and the expected revenues under a single-period and a two-period setting. We show how to find optimal booking limits of the problem and provide numerical examples to illustrate the impact.

An Empirical Analysis on Optimal Oder Quantity of Perishable and Seasonal Products : A Practical Application of Newsvendor Model in Retail (신선·시즌 상품의 최적 주문량 산정 문제에 대한 실증적 분석 : 소매유통업에서 뉴스벤더 모델의 적용)

  • Noh, Geon-Ho;Hwang, Seung-June
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.42 no.1
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    • pp.41-54
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    • 2019
  • Although retailers deals with a large number of single-term inventory items, but few cases have been considered in the areas of practical decision making. However, recent moves to strengthen fair trade have created a real need for single-period inventory decision-making problems. This study addresses the problem of ordering quantity decisions that are expected to maximize profits using classical newsvendor models. The research target is data on seasonal and perishable products from retail. We also use data from retailers to actually apply the newsvendor model and calculate the results to compare performance. It also suggests solutions for estimating demand for products sold in order to apply newsvendor models that utilize actual demand ratio versus forecast demand. This study would like to examine the effectiveness of this research through data analysis and make some suggestions for applying it to reality.

Decision Variable Design of Discrete Systems using Simulation Optimization (시뮬레이션 최적화를 이용한 이산형 시스템의 결정변수 설계)

  • 박경종
    • Proceedings of the Korea Society for Simulation Conference
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    • 1999.10a
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    • pp.63-69
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    • 1999
  • The research trend of the simulation optimization has been focused on exploring continuous decision variables. Yet, the research in discrete decision variable area has not been fully studied. A new research trend for optimizing discrete decision variables ha just appeared recently. This study, therefore, deals with a discrete simulation method to get the system evaluation criteria required for designing a complex probabilistic discrete event system and to search the effective and reliable alternatives to satisfy the objective values of the given system through a on-line, single run with the short time period. Finding the alternative, we construct an algorithm which changes values of decision variables and a design alternative by using the stopping algorithm which ends the simulation in a steady state of system. To avoid the loss of data while analyzing the acquired design alternative in the steady state, we provide background for estimation of an auto-regressive model and mean and confidence interval for evaluating correctly the objective function obtained by small amount of output data through simulation with the short time period. In numerical experiment we applied the proposed algorithm to (s, S) inventory system problem with varying Δt value. In case of the (s, S) inventory system, we obtained good design alternative when Δt value is larger than 100.

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A Mathematical Analysis on Daily Inventory Clearance Pricing with Consumer's Reference Price

  • Koide, Takeshi;Sandoh, Hiroaki
    • Industrial Engineering and Management Systems
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    • v.11 no.1
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    • pp.30-38
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    • 2012
  • This paper discusses a clearance pricing on daily perishable products considering a reference price of consumers. The daily perishable products are sometimes sold at a discount price before closing time to stimulate demand when the number of unsold products is more than initially envisioned. The discount pricing results both in an increase of the revenue of the day and in a decrease of the disposal cost. The discounting, however, also declines a reference price of consumers which is a mental price and serves as an anchor price to judge if a current sales price is loss or gain for the consumers. An excess discounting decreases the demand for the products sold at a regular price in the future and diminishes long-term profit. This study conducts a mathematical analysis on the clearance pricing problem for a single period with stochastic variations both on demand and on the inventory level at clearance time. The expected profit function especially depends on the response of consumers to the clearing price against their reference prices. A procedure is proposed to derive an optimal clearance price when consumers are loss-neutral. A sufficient condition is shown to obtain an optimal price for loss-averse and loss-seeking consumers by an analogous procedure.

A Heuristic for Service-Parts Lot-Sizing with Disassembly Option (분해옵션 포함 서비스부품 로트사이징 휴리스틱)

  • Jang, Jin-Myeong;Kim, Hwa-Joong;Son, Dong-Hoon;Lee, Dong-Ho
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.44 no.2
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    • pp.24-35
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    • 2021
  • Due to increasing awareness on the treatment of end-of-use/life products, disassembly has been a fast-growing research area of interest for many researchers over recent decades. This paper introduces a novel lot-sizing problem that has not been studied in the literature, which is the service-parts lot-sizing with disassembly option. The disassembly option implies that the demands of service parts can be fulfilled by newly manufactured parts, but also by disassembled parts. The disassembled parts are the ones recovered after the disassembly of end-of-use/life products. The objective of the considered problem is to maximize the total profit, i.e., the revenue of selling the service parts minus the total cost of the fixed setup, production, disassembly, inventory holding, and disposal over a planning horizon. This paper proves that the single-period version of the considered problem is NP-hard and suggests a heuristic by combining a simulated annealing algorithm and a linear-programming relaxation. Computational experiment results show that the heuristic generates near-optimal solutions within reasonable computation time, which implies that the heuristic is a viable optimization tool for the service parts inventory management. In addition, sensitivity analyses indicate that deciding an appropriate price of disassembled parts and an appropriate collection amount of EOLs are very important for sustainable service parts systems.

Maximizing Expected Profit via Multiple Truck Operations under Imperfect Trucking Quality (불완전한 배송품질하(下) 배송차량 복수화(化)를 통한 기대수익함수 최대화전략)

  • Kim, Hyoung-Tae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.2
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    • pp.45-51
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    • 2012
  • 이 논문은 물류배송의 불확실성하에서의 생산자의 배송전략 문제를 다루고 있다. 즉 생산자의 배송수량이 전량 온전한 상태로 소매업체의 창고에 배송되지 못하는 상황을 고려한 것이다. 물류배송의 불확실성을 묘사하기 위해 물류배송을 위해 사용되는 개개의 트럭 또는 선박으로부터 발생되는 파손 제품의 수가 가각 독립적이며 동일한 확률분포를 따른다는 가정이 사용되었다. 또한, 최초 배송수량과 배송을 위해 사용된 전체 트럭 또는 선박의 대수를 기존의 단일구간 신문팔이 소년 문제에 적용하여 생산자의 이익함수를 구성하였다. 구성된 생산자의 이익함수를 이용하여 생산자의 기대 이익을 최대화하는 최적의 최초 배송수량 및 배송시 필요한 최적의 트럭 또는 선박의 대수를 계산해 내기 위한 최적해를 제시하였다. 마지막으로 이익함수 모델에서 사용된 다양한 파라미터 값의 조합에 따른 최적해의 움직임을 시뮬레이션을 통해 알아보았다.