• Title/Summary/Keyword: Assignment problem

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Common Due-Date Assignment and Scheduling on Parallel Machines with Sequence-Dependent Setup Times

  • Kim, Jun-Gyu;Yu, Jae-Min;Lee, Dong-Ho
    • Management Science and Financial Engineering
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    • v.19 no.1
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    • pp.29-36
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    • 2013
  • This paper considers common due-date assignment and scheduling on parallel machines. The main decisions are: (a) deter-mining the common due-date; (b) allocating jobs to machines; and (c) sequencing the jobs assigned to each machine. The objective is to minimize the sum of the penalties associated with common due-date assignment, earliness and tardiness. As an extension of the existing studies on the problem, we consider sequence-dependent setup times that depend on the type of job just completed and on the job to be processed. The sequence-dependent setups, commonly found in various manufacturing systems, make the problem much more complicated. To represent the problem more clearly, a mixed integer programming model is suggested, and due to the complexity of the problem, two heuristics, one with individual sequence-dependent setup times and the other with aggregated sequence-dependent setup times, are suggested after analyzing the characteristics of the problem. Computational experiments were done on a number of test instances and the results are reported.

A Distributed Task Assignment Method and its Performance

  • Kim, Kap-Hwan
    • Management Science and Financial Engineering
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    • v.2 no.1
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    • pp.19-51
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    • 1996
  • We suggest a distributed framework for task assignment in the computer-controlled shop floor where each of the resource agents and part agents acts like an independent profit maker. The job allocation problem is formulated as a linear programming problem. The LP formulation is analyzed to provide a rationale for the distributed task assignment procedure. We suggest an auction based negotiation procedure including a price-based bid construction and a price revising mechanism. The performance of the suggested procedure is compared with those of an LP formulation and conventional dispatching procedures by simulation experiments.

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Channel Assignment, Link Scheduling, Routing, and Rate Control for Multi-Channel Wireless Mesh Networks with Directional Antennas

  • Roh, Hee-Tae;Lee, Jang-Won
    • Journal of Communications and Networks
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    • v.18 no.6
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    • pp.884-891
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    • 2016
  • The wireless mesh network (WMN) has attracted significant interests as a broadband wireless network to provide ubiquitous wireless access for broadband services. Especially with incorporating multiple orthogonal channels and multiple directional antennas into the WMN, each node can communicate with its neighbor nodes simultaneously without interference between them. However, as we allow more freedom, we need a more sophisticated algorithm to fully utilize it and developing such an algorithm is not easy in general. In this paper, we study a joint channel assignment, link scheduling, routing, and rate control problem for the WMN with multiple orthogonal channels and multiple directional antennas. This problem is inherently hard to solve, since the problem is formulated as a mixed integer nonlinear problem (MINLP). However, despite of its inherent difficulty, we develop an algorithm to solve the problem by using the generalized Benders decomposition approach [2]. The simulation results show the proposed algorithm provides the optimal solution to maximize the network utility, which is defined as the sum of utilities of all sessions.

An Optimization Rule for Channel Assignment Problem (CAP) (통신채널 할당 최적화 규칙)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.18 no.6
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    • pp.37-45
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    • 2013
  • In the absence of a single deterministic rule for the channel assignment problems, heuristic algorithms are predominantly employed to partly solve the problems. This paper thus proposes deterministic rules for the channel assignment problems. These deterministic rules have successfully yielded the optimal solution when applied to the Philadelphia's 9 case examples.

An Assignment Problem Algorithm Using Minimum Cost Moving Method

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.8
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    • pp.105-112
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    • 2015
  • Generally, the optimal solution of assignment problem has been obtained by Hungarian algorithm with O($n^3$) time complexity. This paper proposes more simple algorithm with O($n^2$) time complexity than Hungarian algorithm. The proposed algorithm simply selects minimum cost in each row, and classified into set S, H, and T. Then, the minimum cost is moved from S to T and $S{\rightarrow}H$, $H{\rightarrow}T$. The proposed algorithm can be obtain the same optimal solution as well-known algorithms and improve the optimal solution of partial unbalanced assignment problems.

D2D Tx-Rx Pair Assignment Using Duality Concept

  • Oh, Changyoon
    • Journal of the Korea Society of Computer and Information
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    • v.24 no.5
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    • pp.19-26
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    • 2019
  • In this paper, we consider the D2D Transmitter(Tx) and Receiver(Rx) pair assignment problem in the cellular system. Sharing the resource of the cellular system, D2D users may cause interference to the cellular system, though it is beneficial to improve the D2D user Capacity. Therefore, to protect the cellular users, D2D transmit power should be carefully controlled. Previously, optimal Tx-Rx assignment to minimize the total transmit power of users was investigated. Accordingly, the iterative algorithm to find the optimum Tx-Rx asignment was obtained. In this work, we consider the case where Tx group users becomes Rx group users, and Rx group users become Tx group users. We prove that the Tx-Rx assignment problem has the duality property. We present the numerical examples that show the duality between U-link and D-link.

A Heuristic Algorithm of Berth Assignment Planning in a Container Terminal (발견적 알고리즘에 의한 컨테이너 터미널의 선석배정에 관한 연구)

  • Lee, H.G.;Lee, C.Y.
    • Journal of Korean Port Research
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    • v.9 no.2
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    • pp.1-8
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    • 1995
  • Generally, berth assignment problem has conflicting factors according to the interested parties. In the view of shipping company, it is desirable that berth assignment is made according to the order of arrival. But in the view of port operator, it is better to be assigned regardless the order of arrival to promote the efficiency of berth operation. Thus, it is necessary to establish berth assignment planning which reflects both of interests in a practical situation. This paper aims to develop a reasonable berth assignment algorithm in a container terminal by considering the prescribed factors, and suggests three types of models minimizing the objective functions such as total port staying time, total mooring time and total maximum mooring time by using MPS concept. These models are formulated by 0-1 integer programming and min-max type function, but as the number of variables increases, an optimal solution cannot be achieved easily within a desired computational time. Thus, to tackle this problem this paper proposes a heuristic algorithm, and also the heuristic algorithm proposed in this paper is verified through the several examples.

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Hierarchical Cellular Network Design with Channel Allocation Using Genetic Algorithm (유전자 알고리즘을 이용한 다중계층 채널할당 셀룰러 네트워크 설계)

  • Lee, Sang-Heon;Park, Hyun-Soo
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.10a
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    • pp.321-333
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    • 2005
  • With the limited frequency spectrum and an increasing demand for cellular communication services, the problem of channel assignment becomes increasingly important. However, finding a conflict free channel assignment with the minimum channel span is NP hard. As demand for services has expanded in the cellular segment, sever innovations have been made in order to increase the utilization of bandwidth. The innovations are cellular concept, dynamic channel assignment and hierarchical network design. Hierarchical network design holds the public eye because of increasing demand and quality of service to mobile users. We consider the frequency assignment problem and the base station placement simultaneously. Our model takes the candidate locations emanating from this process and the cost of assigning a frequency, operating and maintaining equipment as an input. In addition, we know the avenue and demand as an assumption. We propose the network about the profit maximization. This study can apply to GSM(Global System for Mobile Communication) which has 70% portion in the world. Hierarchical network design using GA(Genetic Algorithm) is the first three-tier (Macro, Micro, Pico) model, We increase the reality through applying to EMC (Electromagnetic Compatibility Constraints). Computational experiments on 72 problem instances which have 15${\sim}$40 candidate locations demonstrate the computational viability of our procedure. The result of experiments increases the reality and covers more than 90% of the demand.

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Linear Bottleneck Assignment Problem Based on Reverse-delete Algorithm (선형 병목할당 문제의 역-삭제 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.13 no.6
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    • pp.211-220
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    • 2013
  • This paper proposes an algorithm that easily finds an optimal solution for linear bottleneck assignment problems. It is either threshold or augmenting path algorithm that is generally used to solve the bottleneck assignment problem. This paper proposes a reverse-delete algorithm that follows 2 steps. Firstly, the algorithm deletes the maximum cost in a given matrix until it renders a single row or column. Next, the algorithm improves any solution that contains a cost exceeding the threshold value $c^*_{ij}$. Upon its application to 28 balanced assignment problems and 7 unbalanced problems, the algorithm is found to be both successful and simple.

Common Due-Date Assignment and Scheduling with Sequence-Dependent Setup Times: a Case Study on a Paper Remanufacturing System

  • Kim, Jun-Gyu;Kim, Ji-Su;Lee, Dong-Ho
    • Management Science and Financial Engineering
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    • v.18 no.1
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    • pp.1-12
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    • 2012
  • In this paper, we report a case study on the common due-date assignment and scheduling problem in a paper remanufacturing system that produces corrugated cardboards using collected waste papers for a given set of orders under the make-to-order (MTO) environment. Since the system produces corrugated cardboards in an integrated process and has sequence-dependent setups, the problem considered here can be regarded as common due-date assignment and sequencing on a single machine with sequence-dependent setup times. The objective is to minimize the sum of the penalties associated with due-date assignment, earliness, and tardiness. In the study, the earliness and tardiness penalties were obtained from inventory holding and backorder costs, respectively. To solve the problem, we adopted two types of algorithms: (a) branch and bound algorithm that gives the optimal solutions; and (b) heuristic algorithms. Computational experiments were done on the data generated from the case and the results show that both types of algorithms work well for the case data. In particular, the branch and bound algorithm gave the optimal solutions quickly. However, it is recommended to use the heuristic algorithms for large-sized instances, especially when the solution time is very critical.