Blood transfusion is a multi-step process with risks in each process from selecting donors to transfusing the patient. Meanwhile, the quality plays an essential part throughout the blood supply chain. In this regard, this study proposes a bi-objective model for an integrated blood supply chain network design. The first objective function tries to minimise the total network cost, whereas the second objective seeks to maximise the quality factor. Due to the epistemic uncertainty of critical parameters, a fuzzy method, as well as some robust approaches, are tailored. The applicability and performance of these proposed methods and their validation are studied in a real case of Tehran's blood network. The results illustrate the preference of realistic robust approach to the other methods due to reduction in cost as well as preserving the quality. Finally, the paper comes to an end with the sensitivity analysis, conclusion and some suggestions for future directions. [Received: 22 June 2018; Accepted: 9 January 2019]
{"title":"A Bi-Objective Integrated Model for the Uncertain Blood Network Design with Raising Products Quality","authors":"Mohammad Reza Ghatreh Samani, Seyyed-Mahdi Hosseini-Motlagh, Maryam Izadidoost Sheshkol, Seyyed-Nader Shetab-Boushehri","doi":"10.1504/EJIE.2019.10021573","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10021573","url":null,"abstract":"Blood transfusion is a multi-step process with risks in each process from selecting donors to transfusing the patient. Meanwhile, the quality plays an essential part throughout the blood supply chain. In this regard, this study proposes a bi-objective model for an integrated blood supply chain network design. The first objective function tries to minimise the total network cost, whereas the second objective seeks to maximise the quality factor. Due to the epistemic uncertainty of critical parameters, a fuzzy method, as well as some robust approaches, are tailored. The applicability and performance of these proposed methods and their validation are studied in a real case of Tehran's blood network. The results illustrate the preference of realistic robust approach to the other methods due to reduction in cost as well as preserving the quality. Finally, the paper comes to an end with the sensitivity analysis, conclusion and some suggestions for future directions. [Received: 22 June 2018; Accepted: 9 January 2019]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"3 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116767688","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}
Pub Date : 2019-06-27DOI: 10.1504/EJIE.2019.10022249
Neda Rezaei, S. Ebrahimnejad, Amirhossein Moosavi, Adel Nikfarjam
In this paper, the green vehicle routing problem with time windows constraint is studied in the presence of a heterogeneous fleet of vehicles and filling stations. In addition, the number of vehicles and their fuel tank capacity are both limited. The main contribution of this study is the simultaneous consideration of these features, which makes the problem more practical. For this purpose, a mixed integer linear programming model that minimises the transportation costs and (or carbon dioxide) emissions, is proposed. Furthermore, a genetic algorithm and a population-based simulated annealing are developed to find high-quality solutions for large-scale instances. To validate the proposed model and algorithms, 28 instances are generated using a benchmark database. The computational results demonstrate that both algorithms provide efficient solutions regarding the objective function value and CPU time. Finally, a comprehensive sensitivity analysis is carried out to show the importance of features mentioned above. [Received: 7 October 2016; Revised: 27 December 2018; Accepted: 13 January 2019]
{"title":"A green vehicle routing problem with time windows considering the heterogeneous fleet of vehicles: two metaheuristic algorithms","authors":"Neda Rezaei, S. Ebrahimnejad, Amirhossein Moosavi, Adel Nikfarjam","doi":"10.1504/EJIE.2019.10022249","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10022249","url":null,"abstract":"In this paper, the green vehicle routing problem with time windows constraint is studied in the presence of a heterogeneous fleet of vehicles and filling stations. In addition, the number of vehicles and their fuel tank capacity are both limited. The main contribution of this study is the simultaneous consideration of these features, which makes the problem more practical. For this purpose, a mixed integer linear programming model that minimises the transportation costs and (or carbon dioxide) emissions, is proposed. Furthermore, a genetic algorithm and a population-based simulated annealing are developed to find high-quality solutions for large-scale instances. To validate the proposed model and algorithms, 28 instances are generated using a benchmark database. The computational results demonstrate that both algorithms provide efficient solutions regarding the objective function value and CPU time. Finally, a comprehensive sensitivity analysis is carried out to show the importance of features mentioned above. [Received: 7 October 2016; Revised: 27 December 2018; Accepted: 13 January 2019]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128957450","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}
Pub Date : 2019-06-27DOI: 10.1504/EJIE.2019.10021934
M. Maiti, Prasenjit Pramanik
In this research work, an inventory model has been developed under two-level trade credit policy with unfaithful customers. A percentage of the total customers are treated as unfaithful customers. Demand is influenced by customers' credit period, credit amount and selling price. Due to the vagueness of some parameters, the proposed model is formulated in both the crisp and fuzzy environments. The main purpose of this research work is to determine the optimal replenishment policy so that the total profit of the retailer is maximised. The existence of a solution to the problem is discussed theoretically and then some numerical experiments are undertaken. To find the marketing decision of a generalised model (when the number of variables increases) and for the fuzzy objectives, a soft computing technique is used. Some sensitivity analyses are performed to provide some managerial insights. Finally a conclusion is drawn and some future research directions are proposed. [Received: 14 November 2017; Accepted: 2 January 2019]
{"title":"An inventory model with variable demand incorporating unfaithfulness of customers under two level trade credit","authors":"M. Maiti, Prasenjit Pramanik","doi":"10.1504/EJIE.2019.10021934","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10021934","url":null,"abstract":"In this research work, an inventory model has been developed under two-level trade credit policy with unfaithful customers. A percentage of the total customers are treated as unfaithful customers. Demand is influenced by customers' credit period, credit amount and selling price. Due to the vagueness of some parameters, the proposed model is formulated in both the crisp and fuzzy environments. The main purpose of this research work is to determine the optimal replenishment policy so that the total profit of the retailer is maximised. The existence of a solution to the problem is discussed theoretically and then some numerical experiments are undertaken. To find the marketing decision of a generalised model (when the number of variables increases) and for the fuzzy objectives, a soft computing technique is used. Some sensitivity analyses are performed to provide some managerial insights. Finally a conclusion is drawn and some future research directions are proposed. [Received: 14 November 2017; Accepted: 2 January 2019]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130537753","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}
Pub Date : 2019-06-27DOI: 10.1504/EJIE.2019.10022252
Onur Köksoy, Pelin Ergen, Melis Zeybek
Due to globalisation, competitive companies realise that providing a more reliable, predictable, and robust product/process is a prerequisite for satisfying their customers and running a successful operation. Many quality improvement techniques focus on reducing process variation in line with the 'loss to society' concept. The widespread use of loss functions in industrial applications has increased their popularity with different loss-handling features. Developments relating to the inverted probability density functions (PDFs) have allowed the application of particular loss functions in a wide range. This paper presents the inverted Wald loss function as a new member of the inverted probability loss family. The important features of the proposed right-skewed loss function are discussed, and the risk functions associated with some process distributions of interest are obtained. Moreover, the proposed loss function and its performance are illustrated on the basis of a comparative study and an industrial example, including the monitoring of loss. [Received: 22 May 2018; Revised: 11 August 2018; Revised: 29 October 2018; Revised: 14 January 2019; Accepted: 23 January 2019]
{"title":"A new right-skewed loss function in process risk assessment","authors":"Onur Köksoy, Pelin Ergen, Melis Zeybek","doi":"10.1504/EJIE.2019.10022252","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10022252","url":null,"abstract":"Due to globalisation, competitive companies realise that providing a more reliable, predictable, and robust product/process is a prerequisite for satisfying their customers and running a successful operation. Many quality improvement techniques focus on reducing process variation in line with the 'loss to society' concept. The widespread use of loss functions in industrial applications has increased their popularity with different loss-handling features. Developments relating to the inverted probability density functions (PDFs) have allowed the application of particular loss functions in a wide range. This paper presents the inverted Wald loss function as a new member of the inverted probability loss family. The important features of the proposed right-skewed loss function are discussed, and the risk functions associated with some process distributions of interest are obtained. Moreover, the proposed loss function and its performance are illustrated on the basis of a comparative study and an industrial example, including the monitoring of loss. [Received: 22 May 2018; Revised: 11 August 2018; Revised: 29 October 2018; Revised: 14 January 2019; Accepted: 23 January 2019]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129136674","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}
Pub Date : 2019-06-27DOI: 10.1504/EJIE.2019.10022257
Shin-Li Lu
A single exponentially weighted moving average (EWMA) chart is effectively used to monitor the process mean and/or variance simultaneously. An EWMA-semicircle (EWMA-SC) chart designed from the economic-statistical perspective is proposed, which incorporates Taguchi's quadratic loss function into Lorenzen and Vance's cost model. Moreover, economic-statistical performance and the effect on process capability index are compared to those with sum of square EWMA (SS-EWMA) and maximum EWMA (MaxEWMA) charts. The optimal decision variables - namely, sample size n, sampling interval time h, control limit width L and smoothing constant λ - are obtained by minimising the expected cost function. Via simulations, the EWMA-SC chart is found to incur the smallest expected cost when a process mean and variance simultaneously shift. However, the MaxEWMA chart incurs the lowest cost of defective products when a process means shifts on its own. [Received: 1 May 2017; Revised: 22 August 2018; Accepted: 3 January 2019]
{"title":"Economic-statistical design of EWMA-semicircle charts under the Taguchi loss function","authors":"Shin-Li Lu","doi":"10.1504/EJIE.2019.10022257","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10022257","url":null,"abstract":"A single exponentially weighted moving average (EWMA) chart is effectively used to monitor the process mean and/or variance simultaneously. An EWMA-semicircle (EWMA-SC) chart designed from the economic-statistical perspective is proposed, which incorporates Taguchi's quadratic loss function into Lorenzen and Vance's cost model. Moreover, economic-statistical performance and the effect on process capability index are compared to those with sum of square EWMA (SS-EWMA) and maximum EWMA (MaxEWMA) charts. The optimal decision variables - namely, sample size n, sampling interval time h, control limit width L and smoothing constant λ - are obtained by minimising the expected cost function. Via simulations, the EWMA-SC chart is found to incur the smallest expected cost when a process mean and variance simultaneously shift. However, the MaxEWMA chart incurs the lowest cost of defective products when a process means shifts on its own. [Received: 1 May 2017; Revised: 22 August 2018; Accepted: 3 January 2019]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125487148","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}
Pub Date : 2019-06-27DOI: 10.1504/EJIE.2019.10022248
Ming-Hua Lin, J. Tsai, Pei-Chun Wang, Y.-T. Ho
Developing a flexible supply chain is important for enterprises to face market volatility and diversity. In order to satisfy order requirements under demand uncertainty, this study constructs a coordinated production planning model of supply chain networks considering production capacity expansion. Besides, the proposed model involves batch production that is commonly used in many companies. The constructed model is then linearised as a mixed-integer linear programming problem to guarantee global optimality. The solution of the reformulated model determines the optimal production, transportation and inventory levels as well as the optimal batch production operations and capacity expansion strategy. Several numerical experiments are conducted to demonstrate the effectiveness of the proposed method and the impacts of production capacity expansion on the operations of the supply chain. [Received: 27 November 2017; Revised: 13 August 2018; Accepted: 29 December 2018].
{"title":"A coordinated production planning model with capacity expansion for supply chain networks","authors":"Ming-Hua Lin, J. Tsai, Pei-Chun Wang, Y.-T. Ho","doi":"10.1504/EJIE.2019.10022248","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10022248","url":null,"abstract":"Developing a flexible supply chain is important for enterprises to face market volatility and diversity. In order to satisfy order requirements under demand uncertainty, this study constructs a coordinated production planning model of supply chain networks considering production capacity expansion. Besides, the proposed model involves batch production that is commonly used in many companies. The constructed model is then linearised as a mixed-integer linear programming problem to guarantee global optimality. The solution of the reformulated model determines the optimal production, transportation and inventory levels as well as the optimal batch production operations and capacity expansion strategy. Several numerical experiments are conducted to demonstrate the effectiveness of the proposed method and the impacts of production capacity expansion on the operations of the supply chain. [Received: 27 November 2017; Revised: 13 August 2018; Accepted: 29 December 2018].","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124798056","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}
Pub Date : 2019-05-28DOI: 10.1504/EJIE.2019.10019052
Tanja Parezanović, Marijana Petrović, Nataša Bojković, D. Pamučar
Evaluation of engineering characteristics (ECs) according to customer requirements (CRs) is the most decisive step of the house of quality in quality function deployment (QFD) method. In most cases, high degrees of correlation between ECs exist and should be modelled. The paper develops a specific measure ('influence gap') and novel underlying procedure (smallest gap technique) for ECs evaluation aiming to capture all interdependencies. The influence gap enables to characterise each EC according to its distance from ideal-maximum influence on all requirements. The relationships between CRs and ECs and their inter-relationships are obtained using interval-valued fuzzy DEMATEL method. From the practical point of view, the most important information for decision maker(s) generated by the model is the clear insight about the contribution of each EC when launching a new product/service. Practicability and usability of the proposed methodology is illustrated over a specific transportation service. [Received: 6 January 2018; Accepted: 2 December 2018]
{"title":"One approach to evaluate the influence of engineering characteristics in QFD method","authors":"Tanja Parezanović, Marijana Petrović, Nataša Bojković, D. Pamučar","doi":"10.1504/EJIE.2019.10019052","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10019052","url":null,"abstract":"Evaluation of engineering characteristics (ECs) according to customer requirements (CRs) is the most decisive step of the house of quality in quality function deployment (QFD) method. In most cases, high degrees of correlation between ECs exist and should be modelled. The paper develops a specific measure ('influence gap') and novel underlying procedure (smallest gap technique) for ECs evaluation aiming to capture all interdependencies. The influence gap enables to characterise each EC according to its distance from ideal-maximum influence on all requirements. The relationships between CRs and ECs and their inter-relationships are obtained using interval-valued fuzzy DEMATEL method. From the practical point of view, the most important information for decision maker(s) generated by the model is the clear insight about the contribution of each EC when launching a new product/service. Practicability and usability of the proposed methodology is illustrated over a specific transportation service. [Received: 6 January 2018; Accepted: 2 December 2018]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129605101","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}
Pub Date : 2019-05-28DOI: 10.1504/EJIE.2019.10021587
Woo-sung Kim, Dae-Eun Lim
We consider the automated material handling system design problem in a cellular manufacturing system (CMS). Simple transportation units including low-cost automated guided vehicles are quite often used in CMSs in South Korea. It is assumed that a transportation unit circulates among a group of cells (stations), and the unit is assumed to collect items from the output buffer of the stations. Collected items are unloaded at a cell which functions as a storage. We are interested in the capacity of the transportation unit, or the number of cells the transportation should visit. Using an embedded Markov chain, we derive the remaining capacity of the transportation unit when it leaves each station. In addition, the probability that the transportation unit is full at its departure epoch is also derived. We provide various numerical results including the effect of volatility of the arrival rates among stations. [Received: 30 December 2017; Revised: 18 October 2018; Accepted: 16 December 2018]
{"title":"On an automated material handling system design problem in cellular manufacturing systems","authors":"Woo-sung Kim, Dae-Eun Lim","doi":"10.1504/EJIE.2019.10021587","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10021587","url":null,"abstract":"We consider the automated material handling system design problem in a cellular manufacturing system (CMS). Simple transportation units including low-cost automated guided vehicles are quite often used in CMSs in South Korea. It is assumed that a transportation unit circulates among a group of cells (stations), and the unit is assumed to collect items from the output buffer of the stations. Collected items are unloaded at a cell which functions as a storage. We are interested in the capacity of the transportation unit, or the number of cells the transportation should visit. Using an embedded Markov chain, we derive the remaining capacity of the transportation unit when it leaves each station. In addition, the probability that the transportation unit is full at its departure epoch is also derived. We provide various numerical results including the effect of volatility of the arrival rates among stations. [Received: 30 December 2017; Revised: 18 October 2018; Accepted: 16 December 2018]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132205133","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}
Pub Date : 2019-05-28DOI: 10.1504/EJIE.2019.100002
Atıl Kurt, F. C. Çetinkaya, M. Azizoglu
This paper considers the blood distribution problem in the Central Anatolian Regional Blood Centre of the Turkish Red Crescent (TRC) and proposes several demand satisfaction options considering the irradiation centres, urgent demands, and product availability. Our aim is to maximise the total weighted blood demand satisfaction. To address the problem, we develop a mixed integer linear programming model and propose a hybrid genetic algorithm (HGA). The results of our experiments have revealed that the mathematical model cannot handle even small sized problem instances in reasonable times; however, the hybrid genetic algorithm is capable of handling complex daily operations of the Turkish Red Crescent. [Received: 19 September 2018; Revised: 3 December 2018; Accepted: 3 December 2018]
{"title":"A blood distribution problem with new transportation options - an application for the Turkish Red Crescent","authors":"Atıl Kurt, F. C. Çetinkaya, M. Azizoglu","doi":"10.1504/EJIE.2019.100002","DOIUrl":"https://doi.org/10.1504/EJIE.2019.100002","url":null,"abstract":"This paper considers the blood distribution problem in the Central Anatolian Regional Blood Centre of the Turkish Red Crescent (TRC) and proposes several demand satisfaction options considering the irradiation centres, urgent demands, and product availability. Our aim is to maximise the total weighted blood demand satisfaction. To address the problem, we develop a mixed integer linear programming model and propose a hybrid genetic algorithm (HGA). The results of our experiments have revealed that the mathematical model cannot handle even small sized problem instances in reasonable times; however, the hybrid genetic algorithm is capable of handling complex daily operations of the Turkish Red Crescent. [Received: 19 September 2018; Revised: 3 December 2018; Accepted: 3 December 2018]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128539591","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}
Pub Date : 2019-05-28DOI: 10.1504/EJIE.2019.10021588
M. Saffari, M. S. Sajadieh, F. Hassanzadeh
A single-server queuing system is considered where service consumes one unit of inventory which is maintained by two suppliers with different price and replenishment lead times. During inventory stockout, new customers refuse to enter the system (lost sales) but the existing ones remain in queue until inventory becomes available again (backlogged demand). We analytically derive the joint distribution of queue length and on-hand inventory in steady state and determine supplier-specific ordering policies that maximise the average system profit. A special case of the system with multiple servers is addressed. A numerical study reveals dynamics of the optimal ordering policy with respect to price and replenishment lead-times. [Received: 15 April 2018; Revised: 21 November 2018; Accepted: 18 December 2018]
{"title":"A queuing system with inventory and competing suppliers","authors":"M. Saffari, M. S. Sajadieh, F. Hassanzadeh","doi":"10.1504/EJIE.2019.10021588","DOIUrl":"https://doi.org/10.1504/EJIE.2019.10021588","url":null,"abstract":"A single-server queuing system is considered where service consumes one unit of inventory which is maintained by two suppliers with different price and replenishment lead times. During inventory stockout, new customers refuse to enter the system (lost sales) but the existing ones remain in queue until inventory becomes available again (backlogged demand). We analytically derive the joint distribution of queue length and on-hand inventory in steady state and determine supplier-specific ordering policies that maximise the average system profit. A special case of the system with multiple servers is addressed. A numerical study reveals dynamics of the optimal ordering policy with respect to price and replenishment lead-times. [Received: 15 April 2018; Revised: 21 November 2018; Accepted: 18 December 2018]","PeriodicalId":314867,"journal":{"name":"European J. of Industrial Engineering","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122570091","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}