Impact of customer impatience on a production service system

In this paper, we explore the impact of customer impatience on the performance of a production service system that consists of one production inventory subsystem and one service subsystem. It is inevitable that the un-storability of service makes customers wait in the production service system. Waiting for service easily leads to impatient behaviors. The impact of two kinds of impatient behaviors balk and reneging on the production service system performance is examined. The problem is formulated as a Markov system, then the stationary probability of the system is derived to conduct the performance evaluation. The results show that customer impatience has the different impact patterns on the two subsystems (i.e. production inventory subsystem and service subsystem) of the production service system. Specifically, customer impatience leads to the performance improvement of one subsystem along with the performance deterioration of the other subsystem. Meanwhile, service capacity plays an important role in the influence extent of customer impatience on the system performance. In addition, lower customer impatience does not necessarily improve system profit. Therefore, the management of the production service system with impatient customers will be more intractable. Some managerial insights and suggestions are proposed.

[1]  B. Sivakumar,et al.  Inventory system with renewal demands at service facilities , 2008 .

[2]  Paul Manuel,et al.  A perishable inventory system with service facilities, MAP arrivals and PH — Service times , 2007 .

[3]  Evangelos Grigoroudis,et al.  The Base Stock/Base Backlog Control Policy for a Make-to-Stock System With Impatient Customers , 2011, IEEE Transactions on Automation Science and Engineering.

[4]  S. Subba Rao,et al.  Queuing Models with Balking, Reneging, and Interruptions , 1965 .

[5]  Martien van Tits,et al.  Simulation of a queueing problem with balking , 1979 .

[6]  C. J. Ancker,et al.  Some Queuing Problems with Balking and Reneging. I , 1963 .

[7]  Refael Hassin,et al.  To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems , 2002 .

[8]  D. Simchi-Levi,et al.  Optimal Production and Admission Policies in Make‐to‐Stock/Make‐to‐Order Manufacturing Systems , 2012 .

[9]  Zhibin Jiang,et al.  Queueing system with impatient customers: A review , 2010, Proceedings of 2010 IEEE International Conference on Service Operations and Logistics, and Informatics.

[10]  Saif Benjaafar,et al.  A Production-Inventory System With Both Patient and Impatient Demand Classes , 2012, IEEE Transactions on Automation Science and Engineering.

[11]  Mark E. Ferguson,et al.  PRODUCTION AND OPERATIONS MANAGEMENT , 2008 .

[12]  A. Federgruen,et al.  How Much is a Reduction of Your Customers’ Wait Worth? An Empirical Study of the Fast-Food Drive-Thru Industry Based on Structural Estimation Methods , 2011 .

[13]  Pengfei Guo,et al.  The effects of the availability of waiting-time information on a balking queue , 2009, Eur. J. Oper. Res..

[14]  Joseph D. Blackburn,et al.  Valuing time in supply chains: Establishing limits of time-based competition , 2012 .

[15]  John A. Buzacott,et al.  Optimal and near-optimal inventory control policies for a make-to-order inventory-production system , 2002, Eur. J. Oper. Res..

[16]  Maike Schwarz,et al.  M/M/1 Queueing systems with inventory , 2006, Queueing Syst. Theory Appl..

[17]  Albert Y. Ha.  Optimal Dynamic Scheduling Policy for a Make-To-Stock Production System , 1997, Oper. Res..

[18]  Izak Duenyas,et al.  Optimal Admission Control and Sequencing in a Make-to-Stock/Make-to-Order Production System , 2000, Oper. Res..

[19]  David W. Pentico,et al.  The deterministic EOQ and EPQ with partial backordering at a rate that is linearly dependent on the time to delivery , 2011 .

[20]  Pengfei Guo,et al.  Analysis and Comparison of Queues with Different Levels of Delay Information , 2007, Manag. Sci..

[21]  O. Berman,et al.  Stochastic models for inventory management at service facilities , 1999 .

[22]  Zhibin Jiang,et al.  Optimal production and admission control for a stochastic SOM system with demands for product and PSS , 2013 .

[23]  Jean-Philippe Gayon,et al.  Optimal control of a production-inventory system with customer impatience , 2010, Oper. Res. Lett..

[24]  Zhibin Jiang,et al.  Modeling and optimization of a product-service system with additional service capacity and impatient customers , 2013, Comput. Oper. Res..

[25]  Oded Berman,et al.  DETERMINISTIC APPROXIMATIONS FOR INVENTORY MANAGEMENT AT SERVICE FACILITIES , 1993 .

[26]  Maike Schwarz,et al.  Queueing systems with inventory management with random lead times and with backordering , 2006, Math. Methods Oper. Res..

[27]  Oded Berman,et al.  Optimal service rates of a service facility with perishable inventory items , 2002 .

[28]  Lawrence W. Robinson,et al.  Estimating the Implied Value of the Customer's Waiting Time , 2011, Manuf. Serv. Oper. Manag..

[29]  Jr. Shaler Stidham.  Optimal control of admission to a queueing system , 1985 .

[30]  Elizabeth M. Jewkes,et al.  Performance measures of a make-to-order inventory-production system , 2000 .

[31]  Lawrence M. Wein,et al.  Optimal Control of a Two-Station Tandem Production/Inventory System , 1994, Oper. Res..

[32]  Oded Berman,et al.  Dynamic order replenishment policy in internet-based supply chains , 2001, Math. Methods Oper. Res..

[33]  L. Breuer.  Introduction to Stochastic Processes , 2022, Statistical Methods for Climate Scientists.

[34]  A. Krishnamoorthy,et al.  An inventory model with server interruptions and retrials , 2012, Oper. Res..

[35]  Oualid Jouini,et al.  Control policies for single-stage production systems with perishable inventory and customer impatience , 2013, Ann. Oper. Res..

[36]  Zhibin Jiang,et al.  Optimal production control of a service-oriented manufacturing system with customer balking behavior , 2014 .

[37]  Viswanath C. Narayanan,et al.  Production inventory with service time and vacation to the server , 2011 .

[38]  G. Singer,et al.  A finite-horizon, stochastic optimal control policy for a production–inventory system with backlog-dependent lost sales , 2010 .

[39]  Luis A. San-José,et al.  The lot size-reorder level inventory system with customers impatience functions , 2005, Comput. Ind. Eng..

[40]  A. Krishnamoorthy,et al.  Inventory with service time and transfer of customers and/inventory , 2008, Ann. Oper. Res..

[41]  O. Berman,et al.  Inventory management at service facilities for systems with arbitrarily distributed service times , 2000 .