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      • KCI등재

        Some Conjectures for the Newsvendor Problem under Progressive Multiple Discounts

        원유경(Youkyung Won) 한국경영과학회 2011 韓國經營科學會誌 Vol.36 No.3

        This paper investigates properties of the newsvendor problem under a schedule involving progressive multiple discounts compared with the standard newsvendor problem under a no-discounts schedule. Unlike most conventional approaches using the criticial fractile to analyze the retailer and/or supplier behavior(s) in the newsvendor problem, our approach uses riskless profit. From the properties revealed through a series of computational experiments, two conjectures regarding the relationship between the expected profits of both newsvendor problems as a generalization over Khouja’s argument (1995) are raised. Those conjectures encourage newsvendors who may face budget or warehouse capacity restriction to use the extended model under a multiple-discounts schedule rather than the standard model with no-discounts schedule because they apply for every order quantity as well as the optimal order quantity. In addition to the conjectures, some insightful results are found to justify the implementation of a multiple-discounts schedule from the computational experiments and a new interpretation for implementation of a multiple-discounts schedule that has not been addressed in Khouja is provided.

      • KCI등재

        여러 가지 뉴스벤더모델의 기대값 사이의 관계에 대한 견고한 추측

        원유경(Youkyung Won) 한국경영과학회 2012 韓國經營科學會誌 Vol.37 No.1

        The present study provides some extensions over a recent work in Won (2011) which investigates properties of the static newsvendor problem under a schedule involving progressive multiple discounts under the assumption that demand is given exogenously. Khouja (1995, 1996) formulated the extended versions over the classical newsvendor model with various discount policies including all-units discount and/or multiple discounts and found that the extended newsvendor models with discount schedules yield higher optimal expected profits than the classical newsvendor model with no-discounts. In this study, we establish a robust conjecture as a stronger statement than Khouja’s findings with regard to the general relationship among the expected profits of newsvendor models in the sense that the conjecture holds for every order quantity as well as the optimal order quantity. The conjecture encourages the newsvendor facing quantity discounts to safely implement her own discounts policy to customer or accept quantity discounts offered by the supplier even if the optimal order quantity cannot be ordered due to additional restrictions such as budget or warehouse capacity constraints because the newsvendor models with quantity discounts always yield higher expected profit than the classic newsvendor model without quantity discounts regardless of the order quantity. Results from wide experiments with various probability distributions of demand strongly support our conjecture.

      • KCI등재

        P-Median Approach for the Large-Size Multi-Objective Generalized Cell Formation

        Youkyung Won(원유경) 한국경영과학회 2018 經營 科學 Vol.35 No.2

        The p-median model is known as an effective mathematical model for small- to intermediate-size single- objective cell formation (SOCF) problem in the design of cellular manufacturing system. This paper shows that a sequential approach adopting the p-median model can be a very effective alternative for large-size multi-objective generalized cell formation (MOGCF). Our sequential approach proceeds through two-phase procedures. Phase 1 uses a comprehensive generalized part-machine incidence matrix (PMIM) incorporating realistic manufacturing factors such as alternative process plans and duplicate machines as well as processing times, operation sequences, nonconsecutive multiple visits to the same machines, and production volumes of parts. Based on a new generalized similarity coefficient, a 0-1 linear p-median model is formulated to form independent and compact machine cells. Phase 2 uses a systematic part assignment procedure based on a new classification scheme of part types with alternative process plans in pursuit of balanced workload among cells and high machine utilization. Phase 1 implemented using LINGO 16.0 reaches the global optimum within two seconds even on a large problem containing 1,600 binary variables and phase 2 completes speedy assignment of parts within two seconds with high-quality solutions.

      • KCI등재

        노트:점진적 복수할인이 있는 뉴스벤더모델의 상시 이점에 대한 추측 증명

        원유경(Youkyung Won) 한국경영과학회 2012 한국경영과학회지 Vol.37 No.3

        In this note, a recent work in Won (2011) which investigates properties of the newsvendor model under progressive multiple discounts is revisited and a complete proof is provided for the conjecture on the consistent advantage of progressive multiple discounts over no-discounts in terms of the expected profit. The proof considers the generalized newsvendor model under progressive multiple discounts extended with positive shortage cost and salvage value which have not been considered in the previous newsvendor models under progressive multiple discounts. Without relying on derivatives, we prove that the expected profit under progressive multiple discounts are consistently greater than or equal to the one under no-discounts for every order quantity as far as her multiple discounts do not decrease customer demand, and therefore, the optimal expected profit under progressive multiple discounts is always greater than or equal to the one under no-discounts. As by-products from the proof, some interesting features of the generalized newsvendor model under progressive multiple discounts are revealed.

      • KCI등재

        크루즈 선대의 운항일정계획을 위한 네트워크 최적화 모형

        조성철(Seong-Cheol Cho),원유경(Youkyung Won),김정현(Jung Hyeon Kim) 한국항해항만학회 2012 한국항해항만학회지 Vol.36 No.1

        크루즈 관광 산업은 모든 관광 산업 중 세계적으로 가장 빠르게 성장하고 있는 관광산업임에도 불구하고, 지금까지 합리적 크루즈 경영의사결정에 관한 학술적 연구가 매우 미진한 상황이다. 이 논문은 크루즈 경영에 관한 기초적인 전략적 의사결정이라고 할 수 있는 크루즈 운항일정계획을 다루고 있다. 이전에 개발된 한척의 크루즈선박에 관한 모형의 제한점을 극복하여, 여러 척의 크루즈선박으로 구성된 크루즈 선대를 일반적으로 다룰 수 있는 최적화 의사결정계획 모형을 개발하였다. 후보운항일정계획들 간의 복잡성을 체계화하기 위해 선박별 후보운항일정계획 네트워크를 제안하였으며, 후보운항일정계획 네트워크 전체를 통합하는 정수계획모형을 개발하였다. 공개된 크루즈 운항일정 자료들에 바탕을 둔 가상 사례를 활용하여 개발된 모형을 실험하였다. In spite of today’s rapid growth of world cruise industry, little academic attention has yet been given to the decision making problems for cruise operations. This research deals with strategic cruise itinerary planning that any cruise company should face. Increasing demands for international itineraries and redeployments of cruise ships are adding complexity to the itinerary planning. A slight modification of the conventional PERT/CPM network is adopted. to cope with this complexity systematically. By this, the concept of candidate itinerary network is suggested for each cruise ship. To integrate these candidate itinerary networks for each ship in a single framework, an integer programming model has been developed to find the optimal itinerary planning for any fleet of cruise ships. A numerical example, based on real cruise itinerary practices, is tested to validate and interpret the model.

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