This paper investigates the ordering policy for the newsvendor problem with customer balking and penalties for balking and stockout. Our analysis is based on the assumption that only the mean and the variance of the d...This paper investigates the ordering policy for the newsvendor problem with customer balking and penalties for balking and stockout. Our analysis is based on the assumption that only the mean and the variance of the demand distribution are known. In contrast to the existing research, we provide a new tradeoff tool as a replacement of the traditional one to weigh the holding cost and the goodwill cost segment： the balking penalty cost and the stockout penalty cost. Specifically, in addition to the stockout penalty, we also introduce the balking penalty, provide a new proof of the optimality of robust ordering policy to guarantee that the lower bound of expected profit obtained by us is tight, and get an robust optimal order quantity which is an exact solution but not an approximate one as before. Numerical experiments are conducted to illustrate the effect of penalties for balking and stockout.展开更多
This paper studies the time-dependent analysis of an M/M/1 queueing model with single,multiple working vacation,balking and vacation interruptions.Whenever the system becomes empty,the server commences working vacatio...This paper studies the time-dependent analysis of an M/M/1 queueing model with single,multiple working vacation,balking and vacation interruptions.Whenever the system becomes empty,the server commences working vacation.During the working vacation period,if the queue length reaches a positive threshold value‘k’,the working vacation of the server is interrupted and it immediately starts the service in an exhaustive manner.During working vacations,the customers become discouraged due to the slow service and possess balking behavior.The transient system size probabilities of the proposed model are derived explicitly using the method of generating function and continued fraction.The performance indices such as average and variance of system size are also obtained.Further,numerical simulations are presented to analyze the impact of system parameters.展开更多
This article presents an in-depth exploration of classical and Bayesian inference methods to estimate the traffic intensity parameter,providing a comprehensive comparison of these two statistical paradigms in a novel ...This article presents an in-depth exploration of classical and Bayesian inference methods to estimate the traffic intensity parameter,providing a comprehensive comparison of these two statistical paradigms in a novel multiserver Markovian queueing model(M/M/s)incorporating the phenomenon of reverse balking.The classical inference relies on maximum likelihood(ML)estimation,while the Bayesian approach leverages prior distributions and posterior analysis to enhance estimates.The results indicate that Bayesian methods offer better flexibility and precision compared to traditional ML estimates.Additionally,the predictive probabilities for the number of customers in the system are calculated for different hyper-parameter values of the prior through extensive simulation techniques.The results provide valuable insights for optimizing queue management and improving service efficiency in systems where reverse balking occurs.Moreover,a real-life example is presented to demonstrate the practical implementation of the proposed methodology.This work not only advances the theoretical understanding of queueing dynamics,but also offers practical implications for industries relying on efficient service mechanisms.展开更多
文摘This paper investigates the ordering policy for the newsvendor problem with customer balking and penalties for balking and stockout. Our analysis is based on the assumption that only the mean and the variance of the demand distribution are known. In contrast to the existing research, we provide a new tradeoff tool as a replacement of the traditional one to weigh the holding cost and the goodwill cost segment： the balking penalty cost and the stockout penalty cost. Specifically, in addition to the stockout penalty, we also introduce the balking penalty, provide a new proof of the optimality of robust ordering policy to guarantee that the lower bound of expected profit obtained by us is tight, and get an robust optimal order quantity which is an exact solution but not an approximate one as before. Numerical experiments are conducted to illustrate the effect of penalties for balking and stockout.
文摘This paper studies the time-dependent analysis of an M/M/1 queueing model with single,multiple working vacation,balking and vacation interruptions.Whenever the system becomes empty,the server commences working vacation.During the working vacation period,if the queue length reaches a positive threshold value‘k’,the working vacation of the server is interrupted and it immediately starts the service in an exhaustive manner.During working vacations,the customers become discouraged due to the slow service and possess balking behavior.The transient system size probabilities of the proposed model are derived explicitly using the method of generating function and continued fraction.The performance indices such as average and variance of system size are also obtained.Further,numerical simulations are presented to analyze the impact of system parameters.
文摘This article presents an in-depth exploration of classical and Bayesian inference methods to estimate the traffic intensity parameter,providing a comprehensive comparison of these two statistical paradigms in a novel multiserver Markovian queueing model(M/M/s)incorporating the phenomenon of reverse balking.The classical inference relies on maximum likelihood(ML)estimation,while the Bayesian approach leverages prior distributions and posterior analysis to enhance estimates.The results indicate that Bayesian methods offer better flexibility and precision compared to traditional ML estimates.Additionally,the predictive probabilities for the number of customers in the system are calculated for different hyper-parameter values of the prior through extensive simulation techniques.The results provide valuable insights for optimizing queue management and improving service efficiency in systems where reverse balking occurs.Moreover,a real-life example is presented to demonstrate the practical implementation of the proposed methodology.This work not only advances the theoretical understanding of queueing dynamics,but also offers practical implications for industries relying on efficient service mechanisms.
