• Title/Summary/Keyword: mathematical model of scheduling

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A Mathematical Model for Optimal Communication Scheduling between Multiple Satellites and Multiple Ground Stations (다수의 인공위성-지상국 간 통신 스케줄 최적화 모형)

  • Jeong, Eugine;Kim, Heungseob
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.1
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    • pp.39-49
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    • 2018
  • In the satellite operation phase, a ground station should continuously monitor the status of the satellite and sends out a tasking order, and a satellite should transmit data acquired in the space to the Earth. Therefore, the communication between the satellites and the ground stations is essential. However, a satellite and a ground station located in a specific region on Earth can be connected for a limited time because the satellite is continuously orbiting the Earth, and the communication between satellites and ground stations is only possible on a one-to-one basis. That is, one satellite can not communicate with plural ground stations, and one ground station can communicate with plural satellites concurrently. For such reasons, the efficiency of the communication schedule directly affects the utilization of the satellites. Thus, in this research, considering aforementioned unique situations of spacial communication, the mixed integer programming (MIP) model for the optimal communication planning between multiple satellites and multiple ground stations (MS-MG) is proposed. Furthermore, some numerical experiments are performed to verify and validate the mathematical model. The practical example for them is constructed based on the information of existing satellites and ground stations. The communicable time slots between them were obtained by STK (System Tool Kit), which is a well known professional software for space flight simulation. In the MIP model for the MS-MG problems, the objective function is also considered the minimization of communication cost, and ILOG CPLEX software searches the optimal schedule. Furthermore, it is confirmed that this study can be applied to the location selection of the ground stations.

An Airline Scheduling Model and Solution Algorithms

  • AL-Sultan, Ahmed Thanyan;Ishioka, Fumio;Kurihara, Koji
    • Communications for Statistical Applications and Methods
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    • v.18 no.2
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    • pp.257-266
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    • 2011
  • The rapid development of airlines, has made airports busier and more complicated. The assignment of scheduled to available gates is a major issue for daily airline operations. We consider the over-constrained airport gate assignment problem(AGAP) where the number of flights exceeds the number of available gates, and where the objectives are to minimize the number of ungated flights and the total walking distance or connection times. The procedures used in this project are to create a mathematical model formulation to identify decision variables to identify, constraints and objective functions. In addition, we will consider in the AGAP the size of each gate in the terminal and also the towing process for the aircraft. We will use a greedy algorithm to solve the problem. The greedy algorithm minimizes ungated flights while providing initial feasible solutions that allow flexibility in seeking good solutions, especially in case when flight schedules are dense in time. Experiments conducts give good results.

Cellular-Automata Based Node Scheduling Scheme for Wireless Sensor Networks (무선 센서 네트워크를 위한 셀룰러 오토마타 기반의 노드 스케줄링 제어)

  • Byun, Heejung;Shon, Sugook
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39B no.10
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    • pp.708-714
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    • 2014
  • Wireless sensor networks (WSNs) generally consist of densely deployed sensor nodes that depend on batteries for energy. Having a large number of densely deployed sensor nodes causes energy waste and high redundancy in sensor data transmissions. The problems of power limitation and high redundancy in sensing coverage can be solved by appropriate scheduling of node activity among sensor nodes. In this paper, we propose a cellular automata based node scheduling algorithm for prolonging network lifetime with a balance of energy savings among nodes while achieving high coverage quality. Based on a cellular automata framework, we propose a new mathematical model for the node scheduling algorithm. The proposed algorithm uses local interaction based on environmental state signaling for making scheduling decisions. We analyze the system behavior and derive steady states of the proposed system. Simulation results show that the proposed algorithm outperforms existing protocols by providing energy balance with significant energy savings while maintaining sensing coverage quality.

Optimized Air Force Flight Scheduling Considering Pilot' s Mission Efficiency (조종사 임무 효율을 고려한 공군 비행 스케줄 최적화)

  • Kwon, Min Seok;Yoon, Chan Il;Kim, Jiyong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.43 no.4
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    • pp.116-122
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    • 2020
  • Human and material resource planning is one representative example of Operations Research. Resource planning is important not only in civilian settings but also in military ones. In the Air Force, flight scheduling is one of the primary issues that must be addressed by the personnel who are connected to flight missions. However, although the topic is of great importance, relatively few studies have attempted to resolve the problem on a scientific basis. Each flight squadron has its own scheduling officers who manually draw up the flight schedules each day. While mistakes may not occur while drafting schedules, officers may experience difficulties in systematically adjusting to them. To increase efficiency in this context, this study proposes a mathematical model based on a binary variable. This model automatically drafts flight schedules considering pilot's mission efficiency. Furthermore, it also recommends that schedules be drawn up monthly and updated weekly, rather than being drafted from scratch each day. This will enable easier control when taking the various relevant factors into account. The model incorporates several parameters, such as matching of the main pilots and co-pilots, turn around time, availability of pilots and aircraft, monthly requirements of each flight mission, and maximum/minimum number of sorties that would be flown per week. The optimal solution to this model demonstrated an average improvement of nearly 47% compared with other feasible solutions.

Knowledge-based Approach for Solving Short-term Power Scheduling in Extended Power Systems (확장된 발전시스템에서 지식기반 해법을 이용한 단기운영계획 수립에 관한 연구)

  • 김철수
    • Journal of the Korean Operations Research and Management Science Society
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    • v.23 no.2
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    • pp.187-200
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    • 1998
  • This paper presents an original approach for solving short-term power scheduling in extended power system with two fuels in a unit and a limited fuel using Lagrangian relaxations. The underlying model incorporates the full set of costs and constraints including setup, production, ramping, and operational status, and takes the form of a mixed integer nonlinear control problem. Moreover, the mathematical model developed includes two fuels in a unit and a limited fuel, regulation reserve requirements of prespecified group of units. Lagrangian relaxation is used to disaggregate the model by generator into separate subproblems which are then solved with a nested dynamic program including empirical knowledges. The strength of the methodology lies partially in its ability to construct good feasible solutions from information provided by the dual. Thus, the need for branch-and-bound is eliminated. In addition, the inclusion of two fuels in a unit and a limited fuel provides new insight into the limitations of current techniques. Computational experience with the proposed algorithm indicates that Problems containing up to 23 units including 8 unit used two fuels and 24 time periods can be readily solved in reasonable times. Duality gaps of less than 4% were achieved.

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Combining Vehicle Routing with Forwarding : Extension of the Vehicle Routing Problem by Different Types of Sub-contraction

  • Kopfer, Herbert;Wang, Xin
    • Journal of Korean Institute of Industrial Engineers
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    • v.35 no.1
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    • pp.1-14
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    • 2009
  • The efficiency of transportation requests fulfillment can be increased through extending the problem of vehicle routing and scheduling by the possibility of subcontracting a part of the requests to external carriers. This problem extension transforms the usual vehicle routing and scheduling problems to the more general integrated operational transportation problems. In this contribution, we analyze the motivation, the chances, the realization, and the challenges of the integrated operational planning and report on experiments for extending the plain Vehicle Routing Problem to a corresponding problem combining vehicle routing and request forwarding by means of different sub-contraction types. The extended problem is formalized as a mixed integer linear programming model and solved by a commercial mathematical programming solver. The computational results show tremendous costs savings even for small problem instances by allowing subcontracting. Additionally, the performed experiments for the operational transportation planning are used for an analysis of the decision on the optimal fleet size for own vehicles and regularly hired vehicles.

An Investigation on Design of the Gear Reductioner for the Vibration Suppression (진동 저감을 위한 치차감속기 설계에 대한 연구)

  • 이형우;박노길
    • Journal of KSNVE
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    • v.5 no.2
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    • pp.183-195
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    • 1995
  • The mathematical model of the gear reductioner which consists which consists of the geared rotor-bearing system containing case is developed, assuming as the lumped parameter system. Constraints for vibration suppresion as well as strength of gear teeth, and shaft and kinematic conditions in gear pairs are considered. To find the design parameters satisfing the proposed constraints, a direct search method modified by the technique of Taguchi's experimental scheduling is used. One and two stepped gear reductioners are designed so that the criticl speeds due to the gear transmission error are moved out of the operating speed range.

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A Genetic Algorithm for Scheduling of Trucks with Inbound and Outbound Process in Multi-Door Cross Docking Terminals (다수의 도어를 갖는 크로스도킹 터미널에서 입고와 출고를 병행하는 트럭일정계획을 위한 유전알고리즘)

  • Joo, Cheol-Min;Kim, Byung-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.37 no.3
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    • pp.248-257
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    • 2011
  • Cross docking is a logistics management concept in which items delivered to a terminal by inbound trucks are immediately sorted out, routed and loaded into outbound trucks for delivery to customers. Two main advantages by introducing a cross docking terminal are to consolidate multiple smaller shipment into full truck load and remove storage and order picking processes to save up logistics costs related to warehousing and transportation costs. This research considers the scheduling problem of trucks in the cross docking terminals with multi-door in an inbound and outbound dock, respectively. The trucks sequentially deal with the storage process at the one of inbound doors and the shipping process at the one of the outbound doors. A mathematical model for an optimal solution is derived, and genetic algorithms with two different chromosome representations are proposed. To verify performance of the GA algorithms, we compare the solutions of GAs with the optimal solutions and the best solution using randomly generated several examples.

A production schedule with genetic algorithm in block assembly shop (유전 알고리즘을 이용한 블록조립공장의 생산일정계획)

  • 고시근
    • Korean Management Science Review
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    • v.13 no.1
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    • pp.1-12
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    • 1996
  • This paper deals with production scheduling of block assembly shop in shipbuilding company. The Objectives of the schedule are leveling of daily total workload and fair assignment of workload to each department of the shop. Optimizing the objectives, we consider some restrictions which consisit of block due dates, workability of each department, and space restriction. We formulate the problem in mathematical form. But the model is too complex to find the optimal solution (the problem is NP-complete) and we use the genetic algorithm to find a good solution.

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OPTIMAL SHORT-TERM UNIT COMMITMENT FOR HYDROPOWER SYSTEMS USING DYNAMIC PROGRAMMING

  • Yi, Jae-eung
    • Water Engineering Research
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    • v.1 no.4
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    • pp.279-291
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    • 2000
  • A mathematical model using dynamic programming approach is applied to an optimal unit commitment problem. In this study, the units are treated as stages instead of as state dimension, and the time dimension corresponds to the state dimension instead of stages. A considerable amount of computer time is saved as compared to the normal approach if there are many units in the basin. A case study on the Lower Colorado River Basin System is presented to demonstrate the capabilities of the optimal scheduling of hydropower units.

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