• Title/Summary/Keyword: mixed-integer programming

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Line Balancing for the Mixed Model Assembly Line Considering Processing Time and Physical Workloads (작업시간과 육체적인 작업부하를 고려한 혼합모델 조립공정의 라인밸런싱)

  • Moon, Sung-Min;Kwon, Keun-Seob;Choi, Gyung-Hyun
    • IE interfaces
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    • v.17 no.3
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    • pp.282-293
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    • 2004
  • Line Balancing is the problem to assign tasks to stations while satisfying some managerial viewpoints. Most researches about the Mixed-Model Line Balancing problems are focused on the minimizing the total processing time or the number of workstations. Independently, some research reports consider the balance issues of the physical workloads on the assembly line. In this paper, we are presenting a new mathematical model to accomplish the line balance considering both the processing time and the workloads at the same time. To this, end, we propose an zero-one integer program problem, and we use the Chebyshev Goal Programming approach as the solution method. Some computational test runs are performed to compare the pay-offs between the processing time and the workloads. And, the test results show us that the reliable balanced work schedules can be obtained through the proposed model.

Analysis of regionally centralized and decentralized multistage reverse logistics networks using genetic algorithm (유전알고리즘을 이용한 지역 집중형 및 분산형 다단계 역물류 네트워크 분석)

  • Yun, YoungSu
    • Journal of Korea Society of Industrial Information Systems
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    • v.19 no.4
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    • pp.87-104
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    • 2014
  • This paper proposes regionally centralized multistage reverse logistics (cmRL) networks and regionally decentralized multistage reverse logistics (dmRL) networks. cmRL considers whole area of RL network, while dmRL regionally distributed area of RL network. Each type is formulated by the mixed integer programming (MIP) models, which are realized in genetic algorithm (GA) approach. Two types of numerical experiments using RL network are presented and various measures of performance are used for comparing the efficiency of the cmRL and the dmRL. Finally, it is proved that the performance of the cmRL is superior to that of the dmRL.

Interference-Aware Radio Resource Allocation in D2D Underlaying LTE-Advanced Networks

  • Xu, Shaoyi;Kwak, Kyung Sup;Rao, Ramesh R.
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.8
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    • pp.2626-2646
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    • 2014
  • This study presents a power and Physical Resource Blocks (PRBs) joint allocation algorithm to coordinate uplink (UL) interference in the device-to-device (D2D) underlaying Long Term Evolution-Advanced (LTE-A) networks. The objective is to find a mechanism to mitigate the UL interference between the two subsystems and maximize the weighted sum throughput as well. This optimization problem is formulated as a mixed integer nonlinear programming (MINLP) which is further decomposed into PRBs assignment and transmission power allocation. Specifically, the scenario of applying imperfect channel state information (CSI) is also taken into account in our study. Analysis reveals that the proposed PRBs allocation strategy is energy efficient and it suppresses the interference not only suffered by the LTE-A system but also to the D2D users. In another side, a low-complexity technique is proposed to obtain the optimal power allocation which resides in one of at most three feasible power vectors. Simulations show that the optimal power allocation combined with the proposed PRBs assignment achieves a higher weighted sum throughput as compared to traditional algorithms even when imperfect CSI is utilized.

An Interactive Multi-criteria Group Decision Making with the Minimum Distance Measure (최소 거리척도를 이용한 대화형 다기준 그룹 의사결정)

  • Cho, Namwoong;Kim, Jaehee;Kim, Sheung-Kown
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.1
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    • pp.42-50
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    • 2006
  • The multi-criteria group decision making (MCGDM) problem is to determine the best compromise solution in a set of competing alternatives that are evaluated under conflicting criteria by decision maker (DM)s. In this paper, we propose a mixed-integer programming (MIP) model to solve MCGDM. The existing method based on minimizing a distance measure such as Median Approach can not guarantee the best compromise solution because the element of median point vector is defined with respect to each criteria separately. However, by considering all criteria simultaneously, we generate median point that is better for locating the best compromise solution. We also utilize the concept of spatial dispersion index (SDI) to produce a threshold value, which is used as a guideline to choose either the Utopian Approach or the Median Approach. And we suggest using CBITP (Convex hull of individual maxima Based Interactive Tchebycheff Procedure) to provide DMs with various Pareto-optimal solutions so that DMs have broad range of selection.

A Study on Initial FMS Design Problem considering Machine Selection, Loading and Layout (기계선택, 작업할당, 기계배치를 고려한 FMS의 초기설계에 대한 연구)

  • Ro, In-Kyu;Lee, Bum-Jin
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.4
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    • pp.51-63
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    • 1994
  • Many themes have been studied for FMS problems. But most researches have focused on specific themes; Machine selection, Loading, Routing, Machine layout, etc. So many decision makers who want to introduce FMS to his factory, have many problems, because they do not know either what size of FMS should be introduced or what amount of money should be invested. The objective of this research is to help the decision makers who want to introduce FMS. This research consists of three major part, first, Machine selection, second, Loading, and third, Machine Layout. In the first part of the research, machines are selected with minimum cost satisfying the given demand of each part. In the second part, each operations with its required tools are allocated to those machines. In the third part the locations of each selected machines are determined. And dissimilarity coefficients between each pair of machines are calculated as the measure of distance. With above three steps, we have selected machines, allocated operations to those machines, and the layout configuration of those machines. And for each three steps, Mixed Integer Programming models are formulated. In order to solve the large problems and reduce the computer execution time, three heuristic algorithms are developed for the three mixed integer programming models.

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A Comparison Study on Retailer-managed and Vendor-managed Inventory Policies in the Retail Supply Chain (소매점 공급사슬에서 소매점주도와 공급자주도 재고정책에 대한 비교 연구)

  • Hong, Sung-Chul;Park, Yang-Byung
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.4
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    • pp.382-392
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    • 2006
  • Vendor-managed inventory policy(VMIP) is a supply-chain initiative where the supplier is authorized to manage inventories of items at retail locations. In VMIP, the supplier monitors sales and stock information at retail locations and makes decisions of inventory replenishment and transportation simultaneously. VMIP has been known as an effective supply chain strategy that can realize many of benefits obtainable only in a fully integrated supply chain. However, VMIP does not always lead to lower the supply chain cost. It sometimes generates the total supply chain cost higher than the traditional retailer-managed inventory policy (RMIP). In this paper, we perform a comparison study on RMIP and VMIP in the retail supply chain which consists of a single supplier and a number of retailers. We formulate mixed integer programming models for both RMIP and VMIP with vehicle routing problems and perform computational experiments on various test problems. Furthermore, we derive the conditions which guarantee the dominant position for VMIP with respect to total supply chain cost in the simple retail supply chain.

Optimal and Approximate Solutions of Object Functions for Base Station Location Problem (기지국 위치 문제를 위한 목적함수의 최적해 및 근사해)

  • Sohn, Surg-Won
    • The KIPS Transactions:PartC
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    • v.14C no.2
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    • pp.179-184
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    • 2007
  • The problem of selecting base station location in the design of mobile communication system has been basically regarded as a problem of assigning maximum users in the cell to the minimum base stations while maintaining minimum SIR. and it is NP hard. The objective function of warehouse location problem, which has been used by many researchers, is not proper function in the base station location problem in CDMA mobile communication, The optimal and approximate solutions have been presented by using proposed object function and algorithms of exact solution, and the simulation results have been assessed and analyzed. The optimal and approximate solutions are found by using mixed integer programming instead of meta-heuristic search methods.

Multi-Criteria Group Decision Making Considering the Willingness to Reject and the Indifferent Preference (거부 및 무차별 선호 조건을 고려한 다기준 그룹 의사결정)

  • Choi, Ji-Yoon;Kim, Jae-Hee;Kim, Sheung-Kown
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.1
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    • pp.57-66
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    • 2012
  • The paper deals with the development of a model for group decision making under multiple criteria. The Multi-criteria group decision making (MCGDM) is the process to determine the best compromise solution in a set of competing alternatives that are evaluated by decision makers having their own preferences on conflicting objectives. For MCGDM, we propose a Mixed-Integer Programming (MIP) model that implements a revised median approach by noticing that the original median approach cannot consider the willingness to reject and the indifferent preference conditions. The proposed MIP model tries to select a common best Pareto-optimal solution by maximizing the overall desirability considering the willingness to reject and the indifferent preference that represent the tolerance measure of each decision maker. To evaluate the effectiveness of the proposed model, we compared the results of the proposed model with those of the median approach. The results showed that the proposed MIP model produces more realistic and better compromised alternative by incorporating the decision maker's willingness to reject and the indifferent preferences over each criteria.

A Model and Approaches for Smoothing Peaks of Traction Energy in Timetabling (동력운전 분산 시각표 작성을 위한 수리모형 및 해법)

  • Kim, Kyung-Min;Oh, Seog-Moon
    • Journal of the Korean Society for Railway
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    • v.12 no.6
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    • pp.1018-1023
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    • 2009
  • This paper describes a reduction in the peaks of traction energy for metro railways in timetabling. We develope a mixed integer programming (MIP) model, which minimizes the number of trains running simultaneously. We suggest two approaches. In the first approach, we use the commercial MIP solver, CPLEX. In the second approach, we propose a heuristic algorithm. We apply both methods to the current daily timetable of the Korea Metropolitan Subway. We determine an optimal solution, which results in an improvement of approximately 25% over the current timetable.

Scheduling of a Casting Sequence Under Just-In-Time (JIT) Production (적시 생산 방식에서의 주조공정 스케줄링)

  • Park, Yong-Kuk;Yang, Jung-Min
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.3
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    • pp.40-48
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    • 2009
  • In this article, scheduling of a casting sequence is studied in a casting foundry which must deliver products according to the Just-in-time(JIT) production policy of a customer. When a foundry manufactures a variety of casts with an identical alloy simultaneously, it frequently faces the task of production scheduling. An optimal casting schedule should be emphasized in order to maximize the production rate and raw material efficiency under the constraints of limited resources; melting furnaces and operation time for a casting machine. To solve this practical problem-fulfilling the objectives of casting the assigned mixed orders for the highest raw material efficiency in a way specified by the customer's JIT schedule, we implement simple integer programming. A simulation to solve a real production problem in a typical casting plant proves that the proposed method provides a feasible solution with a high accuracy for a complex, multi-variable and multi-constraint optimization problem. Employing this simple methodology, a casting foundry having an automated casting machine can produce a mixed order of casts with a maximum furnace utilization within the due date, and provide them according to their customer's JIT inventory policy.