In previous research, the Extended Order Scale (EOS) dedicated to risk assessment was analysed. It was characterised by a Numerical Order Scale (NOS) evaluated by trapezoidal oriented fuzzy numbers (TrOFNs). However, the research showed that EOS with two-stage orientation phases, was too complicated. Therefore, the main aim of our paper is to simplify a Complete Order Scale (COS) to a zero- or one-stage order scale and a hybrid approach. For this purpose, a way to calculate the scoring function is presented. The results show that changes in the COS structure influence the values of a scoring function. Replacing just one linguistic indicator gives different results. Another finding of the research is the method’s flexibility that allows an expert to individually choose the most suitable COS. The research proves that the boundary between various linguistic labels cannot be precisely defined. However, knowledge of a formal COS structure allows it to be transformed into a less complex one.
{"title":"Modifications of order scales for assessing debtors","authors":"Aleksandra Wójcicka-Wójtowicz, Krzysztof Piasecki","doi":"10.37190/ord220309","DOIUrl":"https://doi.org/10.37190/ord220309","url":null,"abstract":"In previous research, the Extended Order Scale (EOS) dedicated to risk assessment was analysed. It was characterised by a Numerical Order Scale (NOS) evaluated by trapezoidal oriented fuzzy numbers (TrOFNs). However, the research showed that EOS with two-stage orientation phases, was too complicated. Therefore, the main aim of our paper is to simplify a Complete Order Scale (COS) to a zero- or one-stage order scale and a hybrid approach. For this purpose, a way to calculate the scoring function is presented. The results show that changes in the COS structure influence the values of a scoring function. Replacing just one linguistic indicator gives different results. Another finding of the research is the method’s flexibility that allows an expert to individually choose the most suitable COS. The research proves that the boundary between various linguistic labels cannot be precisely defined. However, knowledge of a formal COS structure allows it to be transformed into a less complex one.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"24 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81357945","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 Weibull distribution is one of the important distributions used in reliability theory and life-testing experiments. The generalised versions of the Weibull distribution give a more flexible model for these studies. The Weibull–G family of distributions is one of the extended versions extensively studied. In this paper, we have studied moments properties of generalised order statistics for the said distribution in terms of a single moment, product moments and characterisation. Several examples and special cases are presented. The results can be applied to all distributions belonging to this family.
{"title":"Relations for moments of generalised order statistics based on Weibull-G family of distributions","authors":"Haseeb Athar, Yousef F. Alharbi, Mohamad A. Fawzy","doi":"10.37190/ord220402","DOIUrl":"https://doi.org/10.37190/ord220402","url":null,"abstract":"The Weibull distribution is one of the important distributions used in reliability theory and life-testing experiments. The generalised versions of the Weibull distribution give a more flexible model for these studies. The Weibull–G family of distributions is one of the extended versions extensively studied. In this paper, we have studied moments properties of generalised order statistics for the said distribution in terms of a single moment, product moments and characterisation. Several examples and special cases are presented. The results can be applied to all distributions belonging to this family.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"61 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87931573","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}
Kateryna Czerniachowska, Marcin Hernes, Krzysztof Lutosławski
Shelf space is one of the essential resources in logistic decisions. Order picking is the most time-consuming and labour-intensive of the distribution processes in distribution centres. Current research investigates the allocation of shelf space on a rack in a distribution centre and a retail store. The retail store, as well as the distribution centre, offers a large number of shelf storage locations. In this research, multi-orientated capping as a product of the rack allocation method is investigated. Capping allows additional product items to be placed on the rack. We show the linearisation technique with the help of which the models with capping could be linearised and, therefore, an optimal solution could be obtained. The computational experiments compare the quality of results obtained by non-linear and linear models. The proposed technique does not increase the complexity of the initial non-linear problem.
{"title":"A linearisation approach to solving a non-linear shelf space allocation problem with multi-oriented capping in retail store and distribution centre","authors":"Kateryna Czerniachowska, Marcin Hernes, Krzysztof Lutosławski","doi":"10.37190/ord220403","DOIUrl":"https://doi.org/10.37190/ord220403","url":null,"abstract":"Shelf space is one of the essential resources in logistic decisions. Order picking is the most time-consuming and labour-intensive of the distribution processes in distribution centres. Current research investigates the allocation of shelf space on a rack in a distribution centre and a retail store. The retail store, as well as the distribution centre, offers a large number of shelf storage locations. In this research, multi-orientated capping as a product of the rack allocation method is investigated. Capping allows additional product items to be placed on the rack. We show the linearisation technique with the help of which the models with capping could be linearised and, therefore, an optimal solution could be obtained. The computational experiments compare the quality of results obtained by non-linear and linear models. The proposed technique does not increase the complexity of the initial non-linear problem.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"114 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82818576","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}
Barter exchange has been growing in popularity during the coronavirus pandemic. This article considers bartering introduced to the newsvendor model with multiplicative demand. The objective of the model is to specify the order quantity and retail price to maximize the expected profit. We distinguish cases with the co-movement of prices of exchanged products and without it. In the first case, we calculate a precise optimal solution to the problem. In the latter case, we prove the existence of an optimal solution and give the conditions under which it is unique. We examine the sensitivity analysis of the results which is illustrated in numerical examples. The analysis revealed that the greater the commission, the lower the optimal profit. We make a conclusion that barter exchange can help the retailer to improve the profit.
{"title":"Barter exchange as the way to deal with excess inventory: newsvendor problem with multiplicative demand","authors":"M. Bieniek","doi":"10.37190/ord220304","DOIUrl":"https://doi.org/10.37190/ord220304","url":null,"abstract":"Barter exchange has been growing in popularity during the coronavirus pandemic. This article considers bartering introduced to the newsvendor model with multiplicative demand. The objective of the model is to specify the order quantity and retail price to maximize the expected profit. We distinguish cases with the co-movement of prices of exchanged products and without it. In the first case, we calculate a precise optimal solution to the problem. In the latter case, we prove the existence of an optimal solution and give the conditions under which it is unique. We examine the sensitivity analysis of the results which is illustrated in numerical examples. The analysis revealed that the greater the commission, the lower the optimal profit. We make a conclusion that barter exchange can help the retailer to improve the profit.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"28 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89919662","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 the present business environment, rapidly developing technology and the competitive world market pose challenges to the available assets of industries. Hence, industries need to allocate and use available assets at the optimum level. Thus, industrialists must create a good decision plan to guide their performance in the production sector. As a result, the present study applies the Meta-Goal Programming technique to attain several objectives simultaneously in the textile production sector. The importance of this study lies in pursuing different objectives simultaneously, which has been almost ignored till now. The production scheduling problem in a textile firm is used to illustrate the practicability and mathematical validity of the suggested approach. Analysis of the results obtained demonstrates that the solution met all three meta-goals with some original goals being met partially. An analysis of the sensitivity of the approach to the weights of the preferences was conducted.
{"title":"Application of goal programming in the textile apparel industry to resolve production planning problems a meta-goal programming technique using weights","authors":"Zahid Amin Malik, Rakesh Kumar, G. Pathak, H. Roy","doi":"10.37190/ord220205","DOIUrl":"https://doi.org/10.37190/ord220205","url":null,"abstract":"In the present business environment, rapidly developing technology and the competitive world market pose challenges to the available assets of industries. Hence, industries need to allocate and use available assets at the optimum level. Thus, industrialists must create a good decision plan to guide their performance in the production sector. As a result, the present study applies the Meta-Goal Programming technique to attain several objectives simultaneously in the textile production sector. The importance of this study lies in pursuing different objectives simultaneously, which has been almost ignored till now. The production scheduling problem in a textile firm is used to illustrate the practicability and mathematical validity of the suggested approach. Analysis of the results obtained demonstrates that the solution met all three meta-goals with some original goals being met partially. An analysis of the sensitivity of the approach to the weights of the preferences was conducted.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"21 5","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72583214","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}
Herbert Mukalazi, T. Larsson, Juma Kasozi, Fred Mayambala
We study the Parliamentary Pension Scheme of Uganda, a hybrid cash balance scheme which is contributory. It has two categories of members, the staff of the Parliamentary Commission and the Members of Parliament. A long term projection of the scheme’s demographic and financial evolution is done to assess its sustainability and fairness with respect to the two categories of members. The projection of the scheme’s future members is done using non-linear regression. The distribution of future members by age states is done by Markov model using frequencies of state transition of the scheme members. We project the future contributions, accumulated funds, benefits, asset and liability values together with associated funding ratios. The results show that the fund is neither sustainable nor fair with respect to the two categories of members.
{"title":"Long term projection of the demographic and financial evolution of the parliamentary pension scheme of Uganda","authors":"Herbert Mukalazi, T. Larsson, Juma Kasozi, Fred Mayambala","doi":"10.37190/ord220307","DOIUrl":"https://doi.org/10.37190/ord220307","url":null,"abstract":"We study the Parliamentary Pension Scheme of Uganda, a hybrid cash balance scheme which is contributory. It has two categories of members, the staff of the Parliamentary Commission and the Members of Parliament. A long term projection of the scheme’s demographic and financial evolution is done to assess its sustainability and fairness with respect to the two categories of members. The projection of the scheme’s future members is done using non-linear regression. The distribution of future members by age states is done by Markov model using frequencies of state transition of the scheme members. We project the future contributions, accumulated funds, benefits, asset and liability values together with associated funding ratios. The results show that the fund is neither sustainable nor fair with respect to the two categories of members.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"19 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75346452","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 paper considers a four-dimensional multi-objective multi-item transportation problem (4DMOMITP), where all the parameters are regarded as uncertain variables. In this paper, three mathematical models, namely expected value model (EVM), optimistic value model (OVM) and dependent optimistic-constrained model (DOCM), are discussed for the uncertain model of 4DMOMITP.Thesemodels are converted into their corresponding deterministic forms using different ranking criteria from uncertainty theory. These deterministic models are then solved by using the Lingo 18.0 software, utilizing three different classical approaches for obtaining a solution. A numerical example is given to illustrate the application of the model and the solution algorithm. A sensitivity analysis for the OVM and DOCM models has also been performed with respect to the confidence levels.
{"title":"Four-dimensional uncertain multi-objective multi-item transportation problem","authors":"Vandana Kakran Kakran, J. Dhodiya","doi":"10.37190/ord220204","DOIUrl":"https://doi.org/10.37190/ord220204","url":null,"abstract":"This paper considers a four-dimensional multi-objective multi-item transportation problem (4DMOMITP), where all the parameters are regarded as uncertain variables. In this paper, three mathematical models, namely expected value model (EVM), optimistic value model (OVM) and dependent optimistic-constrained model (DOCM), are discussed for the uncertain model of 4DMOMITP.Thesemodels are converted into their corresponding deterministic forms using different ranking criteria from uncertainty theory. These deterministic models are then solved by using the Lingo 18.0 software, utilizing three different classical approaches for obtaining a solution. A numerical example is given to illustrate the application of the model and the solution algorithm. A sensitivity analysis for the OVM and DOCM models has also been performed with respect to the confidence levels.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"30 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72588601","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 consider Markovian differentiated hiatuses queues with bulk entries. With the help of the matrix geometric method, we discuss the stability condition for the existence of the steady-state solution of our model and we obtain the stationary system size by using a probability generating function. The stochastic decomposition form of stationary system size and the waiting time distribution of an arbitrary beneficiary are also analysed. Furthermore, we perform the expense analysis using the particle swarm optimization technique and we obtain the optimality of service rate and hiatus rate. Finally, we study the effects of changes in the parameters on some important performance measures of the system through numerical observations.
{"title":"A discussion on the optimality of bulk entry queue with differentiated hiatuses","authors":"M. Vadivukarasi, K. Kalidass","doi":"10.37190/ord220209","DOIUrl":"https://doi.org/10.37190/ord220209","url":null,"abstract":"We consider Markovian differentiated hiatuses queues with bulk entries. With the help of the matrix geometric method, we discuss the stability condition for the existence of the steady-state solution of our model and we obtain the stationary system size by using a probability generating function. The stochastic decomposition form of stationary system size and the waiting time distribution of an arbitrary beneficiary are also analysed. Furthermore, we perform the expense analysis using the particle swarm optimization technique and we obtain the optimality of service rate and hiatus rate. Finally, we study the effects of changes in the parameters on some important performance measures of the system through numerical observations.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"43 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80864513","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 awareness of making decisions in an imprecise environment has resulted in considering the inventory system under a fuzzy approach. The effects of uncertain demand have been finding increased application in many inventory systems. Un-certainty creates complicated situations for the manufacturer in making decisions. Markets have become more competitive as a result of technological advancements. The effect of inflation on the overall cost of the inventory system is useful in providing a tool for the analysis of inventory decisions. This study intended to estimate the effect of different fuzzy numbers on a manufacturer's annual joint expected total cost. The comparative study of this proposed model has been considered for two different fuzzy numbers with the defuzzification technique as the centroid method. The optimization technique has been used to minimize the producer’s joint expected total cost under the condition mentioned earlier, and the model is validated numerically.
{"title":"Optimization of an EPQ model in an imprecise environment with defuzzification by the centroid method under inflation","authors":"R. Arora, A. Chauhan, Renu Sharma, A. Singh","doi":"10.37190/ord220303","DOIUrl":"https://doi.org/10.37190/ord220303","url":null,"abstract":"The awareness of making decisions in an imprecise environment has resulted in considering the inventory system under a fuzzy approach. The effects of uncertain demand have been finding increased application in many inventory systems. Un-certainty creates complicated situations for the manufacturer in making decisions. Markets have become more competitive as a result of technological advancements. The effect of inflation on the overall cost of the inventory system is useful in providing a tool for the analysis of inventory decisions. This study intended to estimate the effect of different fuzzy numbers on a manufacturer's annual joint expected total cost. The comparative study of this proposed model has been considered for two different fuzzy numbers with the defuzzification technique as the centroid method. The optimization technique has been used to minimize the producer’s joint expected total cost under the condition mentioned earlier, and the model is validated numerically.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88786544","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}
Despite the Information Technology (IT) sector’s continuing growth driving massive demand for IT project practitioners, the high failure rate of IT projects has caused enormous losses for many organizations. Establishing effective and proactive practice for project risk management (PRM) is imperative. Risk exposure scoring is becoming a critical risk classifier in prioritizing items in descending order, developing plans to address the most significant factors, and leaving the rest on a “watch list”. This study analyzes responses from targeted project managers (PM) in Malaysia-Singapore to a survey. The author ranked the intrinsic risk of projects and investigated the effect of a project practitioner’s level of experience in risk assessment. The results indicated that a project practitioner’s assessments of risk depend on the number of years of experience acquired.
{"title":"Project practitioner experience in risk ranking analysis – an empirical study in Malaysia and Singapore","authors":"Der-Jiun Pang, K. Shavarebi, Sokchoo Ng","doi":"10.37190/ord220208","DOIUrl":"https://doi.org/10.37190/ord220208","url":null,"abstract":"Despite the Information Technology (IT) sector’s continuing growth driving massive demand for IT project practitioners, the high failure rate of IT projects has caused enormous losses for many organizations. Establishing effective and proactive practice for project risk management (PRM) is imperative. Risk exposure scoring is becoming a critical risk classifier in prioritizing items in descending order, developing plans to address the most significant factors, and leaving the rest on a “watch list”. This study analyzes responses from targeted project managers (PM) in Malaysia-Singapore to a survey. The author ranked the intrinsic risk of projects and investigated the effect of a project practitioner’s level of experience in risk assessment. The results indicated that a project practitioner’s assessments of risk depend on the number of years of experience acquired.","PeriodicalId":43244,"journal":{"name":"Operations Research and Decisions","volume":"5 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77560670","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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