The article aims at higher order fractional variational pair of symmetric dual formulations where constraints are defined over cones and explores pertinent duality output applying the idea of higher order ?-invexity. Also, we bring into begin a numerical example in order to validate the definition exploited to establish duality results. Moreover, we demonstrate a case study dealing with the static formulation of our considered problem and explore the results carefully.
{"title":"Higher order fractional variational symmetric duality over cone constraints","authors":"Sony Khatri, A. Prasad","doi":"10.2298/yjor220415035k","DOIUrl":"https://doi.org/10.2298/yjor220415035k","url":null,"abstract":"The article aims at higher order fractional variational pair of symmetric dual formulations where constraints are defined over cones and explores pertinent duality output applying the idea of higher order ?-invexity. Also, we bring into begin a numerical example in order to validate the definition exploited to establish duality results. Moreover, we demonstrate a case study dealing with the static formulation of our considered problem and explore the results carefully.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74346461","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}
This study proposes a novel way to deal with uncertainty in a two-person zero-sum matrix game with payoffs expressed as fuzzy rough numbers. Complete and reasonable solutions to these types of games are obtained. In this research we develop two linear programming models with upper and lower approximation intervals of fuzzy rough numbers and handle multi-objective crisp linear programming models by incorporating trapezoidal fuzzy rough numbers as payoffs. To provide each opponent with the optimal strategy and value of the game, the usual simplex approach is applied. Finally, two numerical examples demonstrate the matrix game outcomes using Wolfram Cloud.
{"title":"A novel technique for solving two-person zero-sum matrix games in a rough fuzzy environment","authors":"V. Jangid, Ganesh Kumar","doi":"10.2298/yjor210617003j","DOIUrl":"https://doi.org/10.2298/yjor210617003j","url":null,"abstract":"This study proposes a novel way to deal with uncertainty in a two-person zero-sum matrix game with payoffs expressed as fuzzy rough numbers. Complete and reasonable solutions to these types of games are obtained. In this research we develop two linear programming models with upper and lower approximation intervals of fuzzy rough numbers and handle multi-objective crisp linear programming models by incorporating trapezoidal fuzzy rough numbers as payoffs. To provide each opponent with the optimal strategy and value of the game, the usual simplex approach is applied. Finally, two numerical examples demonstrate the matrix game outcomes using Wolfram Cloud.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82985818","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}
The Covid-19 epidemic has caused substantial obstacles to the supply network globally. Hence there is urgency and necessity to build a model for cash flow in the chain of demand and supply system. This research suggests an inventory model to assist retailers in determining the optimal ordering quantity and replenishment cycle to reduce the total cost in different payment cases. The current study looks toward a partial advance and delays in the payment system considering time-sensitive demand, shortage, and partial backlogging for instantaneous deteriorating items. During the financial crisis, the partial advance and delay-in-payment strategy is planned to keep orders flowing from retailers to suppliers and customers to retailers. The impact of advanced and delayed payments on the total cost of a retailer is examined. To exemplify the model?s application, numerical examples are used. A sensitivity study of critical parameters has been done to identify more sensitive parameters which reveal the clear depiction of present problems.
{"title":"Inventory model for instantaneous deteriorating items with time sensitive demand for post COVID-19 recovery","authors":"Sadaf Fatma, V. Mishra, Ranu Singh","doi":"10.2298/yjor220915039f","DOIUrl":"https://doi.org/10.2298/yjor220915039f","url":null,"abstract":"The Covid-19 epidemic has caused substantial obstacles to the supply network globally. Hence there is urgency and necessity to build a model for cash flow in the chain of demand and supply system. This research suggests an inventory model to assist retailers in determining the optimal ordering quantity and replenishment cycle to reduce the total cost in different payment cases. The current study looks toward a partial advance and delays in the payment system considering time-sensitive demand, shortage, and partial backlogging for instantaneous deteriorating items. During the financial crisis, the partial advance and delay-in-payment strategy is planned to keep orders flowing from retailers to suppliers and customers to retailers. The impact of advanced and delayed payments on the total cost of a retailer is examined. To exemplify the model?s application, numerical examples are used. A sensitivity study of critical parameters has been done to identify more sensitive parameters which reveal the clear depiction of present problems.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"22 4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83056371","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}
The proposed article mainly comprises of ideas and motivations that led to the generalization of the usual or the crisp sets. Moving forward we intend to look into how the definitions were modified to suit the meaning of the existing definitions and establish link between them, that is to say that we, after giving formal definitions of the aforementioned sets and norms on these new sets would draw parallel between them and the usual sets and the norm. We will then study some riveting algebraic properties of the same.
{"title":"Motivations and basic of fuzzy, intuitionistic fuzzy and neutrosophic sets and norms","authors":"V. Khan, Umme Tuba, Ashadul Rahaman","doi":"10.2298/yjor210915011k","DOIUrl":"https://doi.org/10.2298/yjor210915011k","url":null,"abstract":"The proposed article mainly comprises of ideas and motivations that led to the generalization of the usual or the crisp sets. Moving forward we intend to look into how the definitions were modified to suit the meaning of the existing definitions and establish link between them, that is to say that we, after giving formal definitions of the aforementioned sets and norms on these new sets would draw parallel between them and the usual sets and the norm. We will then study some riveting algebraic properties of the same.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"125 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73544006","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}
In this paper, we procure the idea of weighted neutrosophic soft multiset (WNSMS) as a generalization of neutrosophic soft multiset (NSMS) and its basic properties are to be showed. Besides, we present a new adjustable approach to WNSMS based on decision-making, for solving decision-making in an indeterminacy situation.
{"title":"Weighted neutrosophic soft multiset and its application to decision making","authors":"Carlos Granados, A. Das, B. Osu","doi":"10.2298/yjor220915034g","DOIUrl":"https://doi.org/10.2298/yjor220915034g","url":null,"abstract":"In this paper, we procure the idea of weighted neutrosophic soft multiset (WNSMS) as a generalization of neutrosophic soft multiset (NSMS) and its basic properties are to be showed. Besides, we present a new adjustable approach to WNSMS based on decision-making, for solving decision-making in an indeterminacy situation.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72386249","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}
Neelanjana Rajput, A. Chauhan, Abhinav Goel, D. Tanwar
Uncertainties in the stock control system development is one of the main concerns of researchers, several studies has been done in this research field with different fuzzy numbers by using different defuzzification methods. In this present article, at first, we have studied the scenario of increasing demand rate with the time and shortage are fully backlogged. Due to some reasons, there is flexible(uncertain) demand rate for the production, so the demand rate has to be taken as octagonal fuzzy number and the model converted into fuzzy model. The purpose of presented model is to optimize the total inventory cost in both the crisp and the fuzzy situations. The designated model included with Signed distance method for an appropriate numerical example, sensitivity analysis and graphical illustration for better explanation of the article.
{"title":"FEOQ model with octagonal fuzzy demand rate and optimize with signed distance method","authors":"Neelanjana Rajput, A. Chauhan, Abhinav Goel, D. Tanwar","doi":"10.2298/yjor220317022c","DOIUrl":"https://doi.org/10.2298/yjor220317022c","url":null,"abstract":"Uncertainties in the stock control system development is one of the main concerns of researchers, several studies has been done in this research field with different fuzzy numbers by using different defuzzification methods. In this present article, at first, we have studied the scenario of increasing demand rate with the time and shortage are fully backlogged. Due to some reasons, there is flexible(uncertain) demand rate for the production, so the demand rate has to be taken as octagonal fuzzy number and the model converted into fuzzy model. The purpose of presented model is to optimize the total inventory cost in both the crisp and the fuzzy situations. The designated model included with Signed distance method for an appropriate numerical example, sensitivity analysis and graphical illustration for better explanation of the article.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73681911","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}
In real life situation, advance technologies are used to produce items but due to some technical error imperfect items are produced. Therefore it is necessary to separate these imperfect items by complete screening process and such items are sold at discounted price at the end of screening process. This paper study about the EOQ model for imperfect items with shortage and zero lead time. Additionally, it provides a model to reduce emissions by including carbon cap, carbon tax, carbon cap and offset and carbon price. The main purpose of the developed model is to reduce the carbon emission when there are imperfect items using KKT(Karush Kuhn Tucker) conditions and the impact of imperfect quality items can be seen in the sensitive analysis part. The retailer should be more vigilant while ordering. Numerical examples are provided to illustrate the procedure.
{"title":"Economic order quantity model for imperfect quality items with environmental regulations","authors":"Geetanjali Raiya, M. Mittal","doi":"10.2298/yjor220515023r","DOIUrl":"https://doi.org/10.2298/yjor220515023r","url":null,"abstract":"In real life situation, advance technologies are used to produce items but due to some technical error imperfect items are produced. Therefore it is necessary to separate these imperfect items by complete screening process and such items are sold at discounted price at the end of screening process. This paper study about the EOQ model for imperfect items with shortage and zero lead time. Additionally, it provides a model to reduce emissions by including carbon cap, carbon tax, carbon cap and offset and carbon price. The main purpose of the developed model is to reduce the carbon emission when there are imperfect items using KKT(Karush Kuhn Tucker) conditions and the impact of imperfect quality items can be seen in the sensitive analysis part. The retailer should be more vigilant while ordering. Numerical examples are provided to illustrate the procedure.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"39 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72580640","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}
This study emphasizes the development of a flexible inventory system considering rework requirements on imperfect and defective items. This work has considered defective items could be sold at a lower price in the market as compared to the perfect items. The developed model has considered Weibull deterioration and inflation to balance the same amount in the future due to its potential earning capacity. And demand's function depends on price as well as inventory level because a large pile of goods and their price strategy attracts more customers to generate higher demand. The work also supports managerial decision-making by focusing on the volume flexibility system for smooth production runs. The mathematical formulation of the developed inventory system tries to optimize the inventory cost function under a realistic scenario. A solution procedure has been illustrated and assisted with a numerical example. Later, a validation test is also performed to check the robustness of the proposed mathematical model. The findings of the study will support policymakers, strategists, and firms to implement flexible inventory systems under realistic conditions.
{"title":"Flexible inventory system of imperfect production under deterioration and inflation","authors":"Archana Sharma, Chaman Singh, P. Verma, A. Malik","doi":"10.2298/yjor220318025s","DOIUrl":"https://doi.org/10.2298/yjor220318025s","url":null,"abstract":"This study emphasizes the development of a flexible inventory system considering rework requirements on imperfect and defective items. This work has considered defective items could be sold at a lower price in the market as compared to the perfect items. The developed model has considered Weibull deterioration and inflation to balance the same amount in the future due to its potential earning capacity. And demand's function depends on price as well as inventory level because a large pile of goods and their price strategy attracts more customers to generate higher demand. The work also supports managerial decision-making by focusing on the volume flexibility system for smooth production runs. The mathematical formulation of the developed inventory system tries to optimize the inventory cost function under a realistic scenario. A solution procedure has been illustrated and assisted with a numerical example. Later, a validation test is also performed to check the robustness of the proposed mathematical model. The findings of the study will support policymakers, strategists, and firms to implement flexible inventory systems under realistic conditions.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80755220","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}
In this paper three heuristic algorithms using the Divide-and-Conquer paradigm are developed and assessed for three integer optimizations problems: Multidimensional Knapsack Problem (d-KP), Bin Packing Problem (BPP) and Travelling Salesman Problem (TSP). For each case, the algorithm is introduced, together with the design of numerical experiments, in order to empirically establish its performance from both points of view: its computational time and its numerical accuracy.
{"title":"Application and assessment of divide-and-conquer-based heuristic algorithms for some integer optimization problems","authors":"Fernando A. Morales","doi":"10.2298/yjor2111015030m","DOIUrl":"https://doi.org/10.2298/yjor2111015030m","url":null,"abstract":"In this paper three heuristic algorithms using the Divide-and-Conquer\u0000 paradigm are developed and assessed for three integer optimizations\u0000 problems: Multidimensional Knapsack Problem (d-KP), Bin Packing Problem\u0000 (BPP) and Travelling Salesman Problem (TSP). For each case, the algorithm is\u0000 introduced, together with the design of numerical experiments, in order to\u0000 empirically establish its performance from both points of view: its\u0000 computational time and its numerical accuracy.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82442229","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}
We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean summability. This study reveals also Tauberian results for some known summation methods in the special cases.
{"title":"Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces","authors":"L. Mishra, Mohd Raiz, V. Mishra","doi":"10.2298/yjor210915005m","DOIUrl":"https://doi.org/10.2298/yjor210915005m","url":null,"abstract":"We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient\u0000 Tauberian conditions under which convergence of double sequences in IFNS\u0000 follows from their weighted mean summability. This study reveals also\u0000 Tauberian results for some known summation methods in the special cases.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"299 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79676336","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}
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