This paper considers an M/M/R/N queue with heterogeneous servers in which customers balk (do not enter) with a constant probability (1−b). We develop the maximum likelihood estimates of the parameters for the M/M/R/N queue with balking and heterogeneous servers. This is a generalization of the M/M/2 queue with heterogeneous servers (without balking), and the M/M/2/N queue with balking and heter...

Purpose: The purpose of this paper is to extend the analysis of the distribution-free newsvendor problem under the circumstance of customer balking, which usually occurs when customers are reluctant to buy products if the available inventory falls below a threshold level. Design/methodology/approach: A new tradeoff tool is provided as a replacement of the traditional one to weigh the holding co...

Although the lost profit from lost business is quite difficult to estimate for the queuing systems with cyclic demands, this paper presents a creative and effective approach to formulate waiting cost including balking loss and reneging loss. The balking probability is defined as the balking index θ1 multiplying by the expected queue length Lq and the reneging probability is defined as the reneg...

The great challenge for service-oriented manufacturing (SOM) is how to cope with customer behavior while making decision on production planning and scheduling. In this paper, we consider a single-stage manufacturing system for SOM with impatient customers. In order to represent customer balking behavior caused by backlog, we employ a balking function, which is an arbitrary non-decreasing functi...

In unobservable queueing systems, customers have several chances to leave the system and forgo their service from an agent. Typically customers may choose to leave by balking, which is based on the queue length or they may leave by reneging from the queue, which is based on the virtual waiting time and the patience of the customer. However, the current literature on unobservable queues assumes ...

In this paper, we analyze a call center with impatient customers. We study how informing customers about their anticipated delays affects performance. Customers react by balking upon hearing the delay announcement, and may subsequently renege, particularly if the realized waiting time exceeds the delay that has originally been announced to them. The balking and reneging from such a system are a...

ABSTRACT:In this paper, we study a Markovian queueing model with balking for buffer sharing in ATM. It is assumed that server provides service with priorities termed as first, second and third. As soon as system accumulates L+1, M+1 customers third and second priority customers balk with balking function bn. We have obtained the steady state probabilities for the system by recursive method. Som...

We study the decisions agents make in two queueing games with endogenously determined arrivals and batch service. In both games, agents are asked to independently decide when to join a queue, or they may simply choose not to join it at all. The symmetric mixed-strategy equilibrium of two games in discrete time where balking is prohibited and where it is allowed are tested experimentally in a st...

In this paper, we consider a single-stage manufacturing system with one machine, which makes a single product to stock to satisfy random demand. Customers inter-arrival times and production times are all exponential random variables. In order to represent customer impatience behavior caused by backlog, we employ a balking function, which is an arbitrary non-decreasing function of the backlogged...

This article presents the analysis of a finite buffer M/M/1 queue with multiple and single working vacations. The arriving customers balk (that is do not join the queue) with a probability and renege (that is leave the queue after joining) according to exponential distribution. The inter-arrival times, service times during a regular service period, service times during a vacation period and vac...