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An Inventory Model of Production with Level Dependent Demand Allowing Few Defective Items 允许少量不良品的水平相关需求生产的库存模型
美国运筹学期刊(英文) Pub Date : 2021-01-13 DOI: 10.4236/AJOR.2021.111001
Md. Jamil Uddin, Shirajul Islam Ukil, A. Khan, M. Uddin
{"title":"An Inventory Model of Production with Level Dependent Demand Allowing Few Defective Items","authors":"Md. Jamil Uddin, Shirajul Islam Ukil, A. Khan, M. Uddin","doi":"10.4236/AJOR.2021.111001","DOIUrl":"https://doi.org/10.4236/AJOR.2021.111001","url":null,"abstract":"This paper considers a model regarding the products \u0000with finite life which allows defective items in reproduction and causes a \u0000small amount of decay. The market demand is assumed to be level dependent \u0000linear type. The model has also considered the constant production rate which \u0000stops after a desired level of inventories and that is the highest level of it. \u0000Due to the market demand, defective item and product’s decay, the inventory \u0000reduces to the zero level where again the production cycle starts. With a \u0000numerical search procedure, the proof of the \u0000proposed model has been shown. The objective of the proposed model is to find \u0000out the total optimum inventory cost, optimum ordering cost and optimum \u0000ordering cycle.","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"11 1","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2021-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47731781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Asymptotic Evaluations of the Stability Index for a Markov Control Process with the Expected Total Discounted Reward Criterion 具有期望总折扣报酬准则的马尔可夫控制过程稳定性指标的渐近估计
美国运筹学期刊(英文) Pub Date : 2021-01-13 DOI: 10.4236/AJOR.2021.111004
J. Martínez-Sánchez
{"title":"Asymptotic Evaluations of the Stability Index for a Markov Control Process with the Expected Total Discounted Reward Criterion","authors":"J. Martínez-Sánchez","doi":"10.4236/AJOR.2021.111004","DOIUrl":"https://doi.org/10.4236/AJOR.2021.111004","url":null,"abstract":"In this \u0000work, for a control consumption-investment process with the discounted reward \u0000optimization criteria, a numerical estimate of the stability index is made. \u0000Using explicit formulas for the optimal stationary policies and for the value \u0000functions, the stability index is explicitly calculated and through statistical \u0000techniques its asymptotic behavior is investigated (using numerical \u0000experiments) when the discount coefficient approaches 1. The results obtained define \u0000the conditions under which an approximate optimal stationary policy can be used \u0000to control the original process.","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"11 1","pages":"62-85"},"PeriodicalIF":0.0,"publicationDate":"2021-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48383683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identical Machine Scheduling Problem with Sequence-Dependent Setup Times: MILP Formulations Computational Study 具有序列相关设置时间的相同机器调度问题：MILP公式的计算研究
美国运筹学期刊(英文) Pub Date : 2021-01-13 DOI: 10.4236/AJOR.2021.111002
F. Yalaoui, Nhan-Quy Nguyen
{"title":"Identical Machine Scheduling Problem with Sequence-Dependent Setup Times: MILP Formulations Computational Study","authors":"F. Yalaoui, Nhan-Quy Nguyen","doi":"10.4236/AJOR.2021.111002","DOIUrl":"https://doi.org/10.4236/AJOR.2021.111002","url":null,"abstract":"This work aims to give a systematic construction of the two families of mixed-integer-linear-programming (MILP) formulations, which are graph- based and sequence-based, of the well-known scheduling problem. Two upper bounds of job completion times are introduced. A numerical test result analysis is conducted with a two-fold objective 1) testing the performance of each solving methods, and 2) identifying and analyzing the tractability of an instance according to the instance structure in terms of the number of machines, of the jobs setup time lengths and of the jobs release date distribution over the scheduling horizon.","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"11 1","pages":"15-34"},"PeriodicalIF":0.0,"publicationDate":"2021-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44696714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Investigating Evacuation Trends and Restoration Processes from Serious Earthquake Damage in Japan 调查日本严重地震破坏后的疏散趋势和恢复过程
美国运筹学期刊(英文) Pub Date : 2021-01-13 DOI: 10.4236/AJOR.2021.111003
Habib Sufian, T. Oyama
{"title":"Investigating Evacuation Trends and Restoration Processes from Serious Earthquake Damage in Japan","authors":"Habib Sufian, T. Oyama","doi":"10.4236/AJOR.2021.111003","DOIUrl":"https://doi.org/10.4236/AJOR.2021.111003","url":null,"abstract":"Japan has experienced many large-scale natural disasters, such as \u0000earthquakes, typhoons accompanied by heavy rain, and landslides. Based on data \u0000for the damage caused by four recent major earthquakes in Japan, we investigate \u0000the trends in the number of evacuees and evacuation centres after these \u0000disasters as well as the restoration processes for public utilities such as \u0000electricity, gas, water, and communication lines. We compare the restoration \u0000speeds and trends of the damaged infrastructure systems. We also propose \u0000various mathematical models to approximate the recovery trends using both \u0000evacuee-related data and damage recovery process data. These results can be \u0000used to design natural disaster mitigation policies not only in Japan, but also \u0000in other countries. The results of various statistical data analyses and \u0000mathematical modelling techniques are applied to provide policy suggestions.","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"11 1","pages":"35-61"},"PeriodicalIF":0.0,"publicationDate":"2021-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42231637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convexity Properties for a Function of Two Integer Variables 两个整数变量函数的凸性性质
美国运筹学期刊(英文) Pub Date : 2021-01-01 DOI: 10.4236/ajor.2021.116016
Sara Nourazari, Hillel Kumin
{"title":"Convexity Properties for a Function of Two Integer Variables","authors":"Sara Nourazari, Hillel Kumin","doi":"10.4236/ajor.2021.116016","DOIUrl":"https://doi.org/10.4236/ajor.2021.116016","url":null,"abstract":"","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70518977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fuzzy Global Stability Analysis of the Dynamics of Malaria with Fuzzy Transmission and Recovery Rates 具有模糊传播率和恢复率的疟疾动力学的模糊全局稳定性分析
美国运筹学期刊(英文) Pub Date : 2021-01-01 DOI: 10.4236/ajor.2021.116017
Yves Tinda Mangongo, Joseph-Désiré Kyemba Bukweli, J. Kampempe
{"title":"Fuzzy Global Stability Analysis of the Dynamics of Malaria with Fuzzy Transmission and Recovery Rates","authors":"Yves Tinda Mangongo, Joseph-Désiré Kyemba Bukweli, J. Kampempe","doi":"10.4236/ajor.2021.116017","DOIUrl":"https://doi.org/10.4236/ajor.2021.116017","url":null,"abstract":"In this paper, fuzzy techniques have been used to track the problem of malaria transmission dynamics. The fuzzy equilibrium of the proposed model was discussed for different amounts of parasites in the body. We proved that when the amounts of parasites are less than the minimum amounts required for disease transmission ( min ν ν≤ ), we reach the model disease-free equilibrium. Using Choquet integral, the fuzzy basic reproduction number through the expected value of fuzzy variable was introduced for the fuzzy Susceptible, Exposed, Infected, Recovered, susceptible-Susceptible, Exposed and Infected (SEIRS-SEI) malaria model. The fuzzy global stabilities were introduced and discussed. The disease-free equilibrium 0 Y is globally asymptotically stable if min ν ν≤ or if the basic reproduction number is less than one ( ( ) 0 1 ν ≤  ). When min ν ν> and ( ) 0 1 ν >  , there exists a co-existing endemic equilibrium which is globally asymptotically stable in the interior of feasible set Ω . Finally, the numerical simulation has been done for showing the effectiveness of our","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70518987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Fair Scheduling Models for Doubles Group Competitions 双打团体比赛公平调度模型
美国运筹学期刊(英文) Pub Date : 2021-01-01 DOI: 10.4236/ajor.2021.116021
Vardges Melkonian
{"title":"Fair Scheduling Models for Doubles Group Competitions","authors":"Vardges Melkonian","doi":"10.4236/ajor.2021.116021","DOIUrl":"https://doi.org/10.4236/ajor.2021.116021","url":null,"abstract":"This paper gives integer linear programming models for scheduling doubles tennis group competitions. The goal is to build a fair and competitive schedule for all players. Our basic model achieves that for each player the average ranking of his partners in all matches is as close as possible to the average ranking of his opponents in all matches. One of the variations of the basic model provides that each matchup is fair and competitive. We also give models for the case when the number of players is 4n + 2, and thus one of the matches has to be singles. Our models were implemented and tested using optimization software AMPL. Computational results along with schedules for some typical situations are also given the paper.","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70519077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Convexificators-Based Optimality Conditions for Nonsmooth Mathematical Program with Vanishing Constraints 具有消失约束的非光滑数学规划的若干基于凸化子的最优性条件
美国运筹学期刊(英文) Pub Date : 2021-01-01 DOI: 10.4236/ajor.2021.116020
Qingjie Hu, Z. Zhou, Yu Chen
{"title":"Some Convexificators-Based Optimality Conditions for Nonsmooth Mathematical Program with Vanishing Constraints","authors":"Qingjie Hu, Z. Zhou, Yu Chen","doi":"10.4236/ajor.2021.116020","DOIUrl":"https://doi.org/10.4236/ajor.2021.116020","url":null,"abstract":"In this paper, by using the notion of convexificator, we introduce the generalized standard Abadie constraint qualification and the generalized MPVC Abadie constraint qualification, and define the generalized stationary conditions for the nonsmooth mathematical program with vanishing constraints (MPVC for short). We show that the generalized strong stationary is the first order necessary optimality condition for nonsmooth MPVC under the generalized standard Abadie constraint qualification. Sufficient conditions for global or local optimality for nonsmooth MPVC are also derived under some generalized convexity assumptions.","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70519039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Breeding Particle Swarm Optimization for Railways Rolling Stock Preventive Maintenance Scheduling 基于粒子群算法的铁路车辆预防性维修调度
美国运筹学期刊(英文) Pub Date : 2021-01-01 DOI: 10.4236/ajor.2021.115015
Tarek Aboueldah, H. Farag
{"title":"Breeding Particle Swarm Optimization for Railways Rolling Stock Preventive Maintenance Scheduling","authors":"Tarek Aboueldah, H. Farag","doi":"10.4236/ajor.2021.115015","DOIUrl":"https://doi.org/10.4236/ajor.2021.115015","url":null,"abstract":"","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70518968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Kaleodoscopic View of Fuzzy Stochastic Optimization* 模糊随机优化的万花筒视角*
美国运筹学期刊(英文) Pub Date : 2021-01-01 DOI: 10.4236/ajor.2021.116018
Yves Tinda Mangongo, J. Kampempe, M. K. Luhandjula
{"title":"A Kaleodoscopic View of Fuzzy Stochastic Optimization*","authors":"Yves Tinda Mangongo, J. Kampempe, M. K. Luhandjula","doi":"10.4236/ajor.2021.116018","DOIUrl":"https://doi.org/10.4236/ajor.2021.116018","url":null,"abstract":"The last three decades have witnessed development of optimization under fuzziness and randomness also called Fuzzy Stochastic Optimization. The main objective of this new field is the need for basing many human decisions on information which is both fuzzily imprecise and probabilistically uncertain. Consistency indexes providing a union nexus between possibilities and probabilities of uncertain events exist in the literature. Nevertheless, there are no reliable transformations between them. This calls for new paradigms for coping with mathematical models involving both fuzziness and randomness. Fuzzy Stochastic Optimization (FSO) is an attempt to fulfill this need. In this paper, we present a panoramic view of Fuzzy Stochastic Optimization em-phasizing the methodological aspects. The merits of existing methods are also briefly discussed along with some related theoretical aspects.","PeriodicalId":61329,"journal":{"name":"美国运筹学期刊(英文)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70519023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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